Publications of Gianni Dal
Maso
Books
1.
Dal
Maso G.: An Introduction to Gamma-Convergence. Birkhäuser,
Boston, 1993.
Articles in scientific
journals
1. Dal Maso G.: Alcuni
teoremi sui Gamma-limiti di misure. Boll. Un. Mat.
Ital. (5) 15-B (1978), 182-192.
2. Buttazzo G., Dal Maso G.:
Gamma-limit of a sequence
of non-convex and non-equi-Lipschitz
integral functionals. Ricerche
Mat. 27 (1978), 235-251.
3. Dal Maso G.: Convergence faible de fonctions croissantes sur un
ensemble ordonn. Boll. Un. Mat.
Ital. (5) 16-A (1979), 157-167.
4. Dal Maso G.: Convergence faible et capacits. Boll. Un. Mat. Ital. (5) 17-B (1980), 440-457.
5.
Buttazzo G., Dal Maso G.: Gamma-limits of integral
functionals. J. Anal. Math. 37 (1980), 145-185.
6.
Dal
Maso G.: Integral
representation on BV() of Gamma-limits of variational integrals. Manuscripta Math. 30 (1980), 387-416.
7.
Dal
Maso G., Longo P.: Gamma-limits
of obstacles. Ann. Mat. Pura Appl. (4) 128 (1980), 1-50.
8.
Dal
Maso G.: Asymptotic
behaviour of minimum problems with bilateral
obstacles. Ann. Mat. Pura Appl.
(4) 129
(1981), 327-366.
9. Dal Maso G., Modica L.:
Un criterio generale per la convergenza dei minimi locali. Rend.
Mat. (7) 1 (1981), 81-94.
10. Dal Maso G., Modica L.: Sulla
convergenza dei minimi locali. Boll. Un. Mat.
Ital. (6) 1-A (1982), 55-61.
11. Buttazzo G., Dal Maso G.: Gamma-convergence and optimal control problems. J. Optim. Theory Appl. 38 (1982), 385-407.
12. De Giorgi E., Buttazzo G., Dal Maso G.: On the lower semicontinuity
of certain integral functionals. Atti Accad. Naz. Lincei
Rend. Cl. Sci. Fis. Mat. Natur. (8) 74
(1983), 274-282.
13. Buttazzo G., Dal Maso G.:
On Nemyckii operators and integral representation of
local functionals. Rend. Mat. (7) 3 (1983), 491-509.
14. Dal Maso G.: On the
integral representation of certain local functionals. Ricerche
Mat. 32 (1983), 85-113.
15. Buttazzo G., Dal Maso G.: Singular
perturbation problems in the calculus of variations. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 11 (1984),
395-430.
16. Buttazzo G., Dal Maso G.: Integral
representation and relaxation of local functionals. Nonlinear Anal. 9
(1985), 515-532.
17. Dal Maso G., Modica
L.: Nonlinear
stochastic homogenization. Ann. Mat. Pura Appl. (4) 144
(1986), 347-389.
18. Dal Maso G.: Some
necessary and sufficient conditions for the convergence of sequences of
unilateral convex sets. J. Funct. Anal.
62 (1985), 119-159.
19. Buttazzo G., Dal Maso G.: A
characterization of nonlinear functionals on Sobolev spaces which admit an
integral representation with a Carathodory integrand.
J. Math. Pures Appl. 64 (1985), 337-361.
20. Dal Maso G., Modica
L.: Integral
functionals determined by their minima. Rend. Sem. Mat. Univ. Padova
76 (1986), 255-267.
21. Dal Maso G., Modica
L.: Nonlinear stochastic homogenization and ergodic theory. J. Reine Angew. Math. 368 (1986), 28-42.
22. Anzellotti G., Buttazzo G., Dal Maso G.: Dirichlet
problems for demi-coercive functionals. Nonlinear Anal. 10
(1986), 603-613.
23. Dal Maso G., Mosco
U.: Wiener's
criterion and Gamma-convergence. Appl. Math. Optim.
15 (1987), 15-63.
24. Dal Maso G., Mosco
U.: The Wiener modulus of a radial measure. Houston J. Math. 15
(1989), 35-57.
25. Dal Maso G., Mosco
U.: Wiener
criteria and energy decay for relaxed Dirichlet problems. Arch. Ration.
Mech. Anal. 95 (1986), 345-387.
26. Buttazzo G., Dal Maso G.,
Mosco U.: A
derivation theorem for capacities with respect to a Radon measure. J. Funct. Anal. 71 (1987), 263-278.
27. Cabib E., Dal Maso G.: On a class of
optimum problems in structural design. J. Optim.
Theory Appl. 56 (1988), 39-65.
28. Baxter J.R., Dal
Maso G., Mosco U.: Stopping
times and Gamma-convergence. Trans. Amer. Math. Soc. 303
(1987), 1-38.
29. Carriero M., Dal Maso G., Leaci A., Pascali E.: Relaxation
of the non-parametric Plateau problem with an obstacle. J. Math. Pures Appl. (9) 67 (1988), 359-396.
30. Dal Maso G.: Gamma-convergence
and -capacities. Ann. Scuola Norm. Sup. Pisa
Cl. Sci. (4) 14 (1987), 423-464.
31. Dal Maso G., Defranceschi A.: Some
properties of a class of nonlinear variational -capacities. J. Funct. Anal. 79 (1988), 476-492.
32. Dal Maso G., Defranceschi A.: A Kellogg property for -capacities. Boll.
Un. Mat. Ital. (7) 2-A (1988), 127-135.
33. Dal Maso G., Paderni G.: Integral representation of some convex local
functionals. Ricerche Mat. 36
(1987), 197-214.
34. Dal Maso G., Paderni G.: Variational
inequalities for the biharmonic operator with variable obstacles. Ann.
Mat. Pura Appl. (4) 153 (1988), 203-227.
35. Dal Maso G., Defranceschi A.: Limits of nonlinear
Dirichlet problems in varying domains. Manuscripta
Math. 61 (1988), 251-278.
36. Dal Maso G., Mosco
U., Vivaldi M.A.: A
pointwise regularity theory for the two-obstacle problem. Acta Math.
163 (1989), 57-107.
37. Ambrosio L., Dal
Maso G.: A
general chain rule for distributional derivatives. Proc. Amer. Math.
Soc. 108 (1990), 691-702.
38. Chiad Piat V., Dal Maso G., Defranceschi
A.: G-convergence of monotone operators. Ann. Inst. H. Poincaré
Anal. Non Linéaire 7 (1990), 123-160.
39. Dal Maso G., Defranceschi A.: Convergence of
unilateral problems for monotone operators. J. Analyse
Math. 53 (1989), 269-289.
40. Dal Maso G., Musina
R.: An
approach to the thin obstacle problem for variational functionals depending on
vector valued functions. Comm. Partial Differential Equations 14
(1989), 1717-1743.
41. Dal Maso G., Morel
J.M., Solimini S.: A variational method
in image segmentation: existence and approximation results. Acta Math.
168 (1992), 89-151.
42. Buttazzo G., Dal Maso G.: Shape
optimization for Dirichlet problems: relaxed solutions and optimality
conditions. Bull. Amer. Math. Soc. 23 (1990), 531-535.
43. Dal Maso G., Defranceschi A.: Correctors for the homogenization of
monotone operators. Differential Integral Equat.
3 (1990), 1151-1166.
44. Dal Maso G., Rampazzo F.: On systems of ordinary differential equations
with measures as controls. Differential Integral Equat.
4 (1991), 739-765.
45. Buttazzo G., Dal Maso G.: Shape optimization
for Dirichlet problems: relaxed formulation and optimality conditions. Appl.
Math. Optim. 23 (1991), 17-49.
46. Chipot M., Dal Maso G.:
Relaxed shape optimization: the case of nonnegative data for the Dirichlet
problem. Adv. Math. Sci. Appl. 1 (1992), 47-81.
47. Acerbi E., Chiad Piat V., Dal Maso G., Percivale D.: An
extension theorem from connected sets, and homogenization in general periodic
domains. Nonlinear Anal. 18 (1992), 481-496.
48. Bouchitté G., Dal Maso G.: Integral
representation and relaxation of convex local functionals on BV(). Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 20 (1993),
483-533.
49. Ambrosio L., Dal
Maso G.: On the
relaxation in BV(;Rm) of quasi-convex integrals. J. Funct. Anal. 109 (1992), 76-97.
50. Dal Maso G., Defranceschi A., Vitali E.: A characterization
of C1-convex sets in Sobolev spaces. Manuscripta
Math. 75 (1992), 247-272.
51. Bellettini G., Dal Maso G.,
Paolini M.: Semicontinuity and relaxation properties of a curvature
depending functional in 2d. Ann. Scuola Norm.
Sup. Pisa Cl. Sci. (4) 20 (1993), 247-297.
52. Dal Maso G., Defranceschi A., Vitali E.: Integral representation for a
class of C1-convex functionals. J. Math. Pures
Appl. 73 (1994), 1-46.
53. Buttazzo G., Dal Maso G.: An existence result
for a class of shape optimization problems. Arch. Ration. Mech. Anal.
122 (1993), 183-195.
54. Dal Maso G., Malusa A.: Approximation
of relaxed Dirichlet problems by boundary value problems in perforated domains.
Proc. Roy. Soc. Edinburgh Sect. A 125 (1995), 99-114.
55. Dal Maso G., Sbordone C.: Weak lower semicontinuity of polyconvex integrals: a borderline case.
Math. Z. 218 (1995), 603-609.
56. Acerbi E., Dal Maso G.: New lower semicontinuity results for polyconvex integrals. Calc.
Var. Partial Differential Equations 2 (1994), 329-372.
57. Dal Maso G., Garroni A.: New
results on the asymptotic behaviour of Dirichlet
problems in perforated domains. Math. Models Methods Appl. Sci. 4
(1994), 373-407.
58. Celada P., Dal Maso G.:
Further remarks on the lower semicontinuity of
polyconvex integrals. Ann. Inst. H. Poincaré Anal.
Non Linéaire 11 (1994), 661-691.
59. Dal Maso G., Le Floch Ph., Murat F.: Definition and weak stability of
nonconservative products. J. Math. Pures Appl.
74 (1995), 483-548.
60. Buttazzo G., Dal Maso G., Garroni A., Malusa A.: On the
relaxed formulation of some shape optimization problems. Adv. Math. Sci.
Appl. 7 (1997), 1-24.
61. Dal Maso G., Garroni A.: The capacity method for asymptotic Dirichlet
problems. Asymptot. Anal. 15
(1997), 299-324.
62. Dal Maso G., Toader R.: Limits of Dirichlet problems in perforated
domains: a new formulation. Rend. Istit. Mat.
Univ. Trieste 24 (1994), 339-360.
63. Dal Maso G., Skrypnik I.V.: Capacity
theory for monotone operators. Potential Anal. 7 (1997),
765-803.
64. Dal Maso G., Toader R.: A capacity method for
the study of Dirichlet problems for elliptic systems in varying domains. Rend.
Sem. Mat. Univ. Padova 96 (1996), 257-277.
65. Dal Maso G., Skrypnik I.V.: Asymptotic behaviour of nonlinear Dirichlet problems in perforated
domains. Ann. Mat. Pura Appl. 174 (1998), 13-72.
66. Ambrosio L., Coscia
A., Dal Maso G.: Fine properties
of functions with bounded deformation. Arch. Ration. Mech. Anal. 139
(1997), 201-238.
67. Dal Maso G., Murat
F.: Asymptotic behaviour and correctors for Dirichlet problems in
perforated domains with homogeneous monotone operators. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 24 (1997),
239-290.
68. Dal Maso G., Murat
F.: Almost
everywhere convergence of gradients of solutions to nonlinear elliptic systems.
Nonlinear Anal. 31 (1998), 405-412.
69. Braides A., Dal Maso G.: Non-local
approximation of the Mumford-Shah functional. Calc. Var. Partial
Differential Equations 5 (1997), 293-322.
70. Bellettini G., Coscia A., Dal
Maso G.: Compactness
and lower semicontinuity properties in SBD(). Math.
Z. 228 (1998), 337-351.
71. Dal Maso G., Garroni A., Skrypnik I.V.: A capacitary method
for the asymptotic analysis of Dirichlet problems for monotone operators. J.
Anal. Math. 71 (1997), 263-313.
72. Dal Maso G.,
Goncharov V.V., Ornelas A.: A
Lipschitz selection from the set of minimizers of a nonconvex functional of the
gradient. Nonlinear Anal. 37 (1999),
707-717.
73. Dal Maso G.: Comportamento
asintotico delle soluzioni di problemi di Dirichlet. Boll.
Un. Mat. Ital. (7) 11-A (1997), 253-277.
74. Dal Maso G., De Cicco V., Notarantonio L., Tchou N.A.: Limits of variational
problems for Dirichlet forms in varying domains. J. Math. Pures Appl. (9) 77 (1998), 89-116.
75. Dal Maso G., De Cicco V.: Evans-Vasilesco theorem
in Dirichlet spaces. Rend. Mat. Appl. (7) 19 (1999), 1-15.
76. Dal Maso G., Malusa A.: Some properties
of reachable solutions of nonlinear elliptic equations with measure data. Ann.
Scuola Norm. Sup. Pisa Cl. Sci. (4) 25
(1997), 375-396.
77. Dal Maso G., Skrypnik I.V.: Asymptotic behaviour of nonlinear elliptic higher order equations in
perforated domains. J. Anal. Math. 79 (1999), 93-112.
78. Braides A., Dal Maso G., Garroni A.: Variational
formulation of softening phenomena in fracture mechanics: the one-dimensional
case. Arch. Ration. Mech. Anal. 146 (1999), 23-58.
79. Chambolle A., Dal Maso G.: Discrete
approximation of the Mumford-Shah functional in dimension two. M2AN
Math. Model. Numer. Anal. 33 (1999),
651-672.
80. Dall'Aglio P., Dal Maso G.:
Some properties of the solutions of obstacle problems with measure data. Ricerche Mat., Supplemento
dedicato a Ennio De Giorgi 48 (1999),
99-116.
81. Dal Maso G., Murat
F., Orsina L., Prignet A.: Renormalized
solutions of elliptic equations with general measure data. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 28 (1999),
741-808.
82. Dal Maso G., Mora
M.G., Morini M.: Local
calibrations for minimizers of the Mumford-Shah functional with rectilinear
discontinuity sets. J. Math. Pures Appl. 79
(2000), 141-162.
83. Dal Maso G., Trebeschi P.: Gamma-limit
of periodic obstacles. Acta Appl. Math. 65 (2001), 207-215.
84. Dal Maso G., Frankowska H.: Value
functions for Bolza problems with discontinuous Lagrangians and Hamilton-Jacobi inequalities. ESAIM
Control Optim. Calc. Var. 5 (2000),
369-393.
85. Dal Maso G., Skrypnik I.V.: A monotonicity approach to nonlinear
Dirichlet problems in perforated domains. Adv. Math. Sci. Appl. 11
(2001), 721-751.
86. Dal Maso G., Toader R.: A model for the
quasi-static growth of brittle fractures: existence and approximation results.
Arch. Ration. Mech. Anal. 162 (2002), 101-135.
87. Alberti G., Bouchitté G., Dal Maso G.: The calibration
method for the Mumford-Shah functional and free-discontinuity problems. Calc.
Var. Partial Differential Equations 16 (2003), 299-333.
88. Dal Maso G., Negri
M., Percivale D.: Linearized
elasticity as Gamma-limit of finite elasticity. Set-Valued Anal. 10
(2002), 165-183.
89. Dal Maso G., Murat
F.: Asymptotic
behaviour and correctors for linear Dirichlet
problems with simultaneously varying operators and domains. Ann. Inst.
H. Poincaré Anal. Non Linéaire
21 (2004), 445-486.
90. Dal Maso G., Ebobisse F., Ponsiglione M.: A
stability result for nonlinear Neumann problems under boundary variations. J.
Math. Pures Appl. 82 (2003), 503-532.
91. Dal Maso G., Toader R.: A model
for the quasi-static growth of brittle fractures based on local minimization.
Math. Models Methods Appl. Sci. 12 (2002), 1773-1800.
92. Dal Maso G., Frankowska H.: Autonomous
integral functionals with discontinuous nonconvex integrands: Lipschitz
regularity of minimizers, DuBois-Reymond necessary conditions, and
Hamilton-Jacobi equations. Applied Math. Optim.
48 (2003), 39-66.
93. Dal Maso G.,
Fonseca I., Leoni G., Morini M.: Higher
order quasiconvexity reduces to quasiconvexity. Arch. Ration. Mech.
Anal. 171 (2004), 55-81.
94. Dal Maso G., Francfort G.A., Toader R.: Quasistatic
crack growth in nonlinear elasticity. Arch. Ration. Mech. Anal. 176
(2005), 165-225.
95. Dal Maso G., Toader R.: On a notion
of unilateral slope for the Mumford-Shah functional. NoDEA
Nonlinear Differential Equations Appl. 13 (2007), 713-734.
96. Dal Maso G.,
DeSimone A., Mora M.G.: Quasistatic
evolution problems for linearly elastic–perfectly plastic materials. Arch.
Ration. Mech. Anal. 180 (2006), 237-291.
97. Dal Maso G., Zanini C.: Quasistatic
crack growth for a cohesive zone model with prescribed crack. Proc. Roy.
Soc. Edinburgh Sect. A 137 (2007), 253-279.
98. Dal Maso G., Garroni A.: Gradient
bounds for minimizers of free discontinuity problems related to cohesive zone
models in fracture mechanics. Calc. Var. Partial Differential Equations
31 (2008), 137-145.
99. Dal Maso G.,
DeSimone A., Mora M.G., Morini M.: Time-dependent
systems of generalized Young measures. Netw.
Heterog. Media 2 (2007), 1-36.
100. Dal Maso G., DeSimone A., Mora
M.G., Morini M.: A vanishing
viscosity approach to quasistatic evolution in plasticity with softening. Arch.
Ration. Mech. Anal. 189 (2008), 469-544.
101. Dal Maso G., DeSimone A., Mora
M.G., Morini M.: Globally
stable quasistatic evolution in plasticity with softening. Netw. Heterog. Media
3 (2008), 567-614.
102. Dal Maso G., Demyanov A., DeSimone A.: Quasistatic
evolution problems for pressure-sensitive plastic materials. Milan J.
Math. 75 (2007), 117-134.
103. Dal Maso G., Toader R.: Decomposition results for functions with bounded
variation. Boll. Un. Mat. Ital. (9) 1 (2008), 497-505.
104. Dal Maso G., Giacomini A., Ponsiglione M.: A variational model for quasistatic crack
growth in nonlinear elasticity: some qualitative properties of the solutions. Boll.
Un. Mat. Ital. (9) 2 (2009), 371-390.
105. Barchiesi M., Dal Maso G.: Homogenization
of fiber reinforced brittle materials: the extremal cases. SIAM J. Math.
Anal. 41 (2009), 1874-1889.
106. Dal Maso G., Toader R.: Quasistatic
crack growth in elasto-plastic materials: the
two-dimensional case. Arch. Ration. Mech. Anal. 196 (2010),
867-906.
107. Dal Maso G., Fonseca I., Leoni
G., Morini M.: A
higher order model for image restoration: the one dimensional case. SIAM
J. Math. Anal. 40 (2009), 2351-2391.
108. Dal Maso G., DeSimone A.: Quasistatic
evolution for Cam-Clay plasticity: examples of spatially homogeneous solutions.
Math. Models Methods Appl. Sci. 19 (2009), 1643-1711.
109. Dal Maso G., Lazzaroni G.: Quasistatic
crack growth in finite elasticity with non-interpenetration. Ann. Inst.
H. Poincaré Anal. Non Linéaire
27 (2010), 257-290.
110. Dal Maso G., Zeppieri C.I.: Homogenization
of fiber reinforced brittle materials: the intermediate case. Adv. Calc.
Var. 3 (2010), 345-370.
111. Dal Maso G., DeSimone A., Solombrino F.: Quasistatic
evolution for Cam-Clay plasticity: a weak formulation via viscoplastic
regularization and time rescaling. Calc. Var. Partial Differential
Equations 40 (2011), 125-181.
112. Dal Maso G., Solombrino F.: Quasistatic
evolution for Cam-Clay plasticity: the spatially homogeneous case. Netw. Heterog. Media
5 (2010), 97-132.
113. Dal Maso G., Fonseca I., Leoni
G.: Nonlocal
character of the reduced theory of thin films with higher order perturbations.
Adv. Calc. Var. 3 (2010), 287-319.
114. Chermisi M., Dal Maso G.,
Fonseca I., Leoni G.: Singular
perturbation models in phase transitions for second order materials. Indiana
Univ. Math. J. 60 (2011), 367-410.
115. Dal Maso G., DeSimone A., Morandotti M.: An
existence and uniqueness result for the motion of self-propelled
micro-swimmers. SIAM J. Math. Anal. 43 (2011), 1345-1368.
116. Dal Maso G., DeSimone A., Solombrino F.: Quasistatic
evolution for Cam-Clay plasticity: properties of the viscosity solution. Calc.
Var. Partial Differential Equations 44 (2012), 495-541.
117. Dal Maso G., Iurlano F.: Fracture
models as Gamma-limits of damage models. Commun. Pure Appl. Anal. 12
(2013), 1657-1686.
118. Dal Maso G., Larsen C.J.: Existence
for wave equations on domains with arbitrary growing cracks. Atti Accad.
Naz. Lincei Cl. Sci. Fis. Mat.
Natur. Rend. Lincei (9) Mat. Appl. 22 (2011), 387-408.
119. Agostiniani V., Dal Maso G.,
DeSimone A.: Linear
elasticity obtained from finite elasticity by Gamma-convergence under weak
coerciveness conditions. Ann. Inst. H. Poincaré
Anal. Non Linéaire 29 (2012), 715-735.
120. Dal Maso G.: Generalised functions of bounded deformation. J.
Eur. Math. Soc. (JEMS) 15 (2013), 1943-1997.
121. Ansini N., Dal Maso G., Zeppieri C.I.: New
results on Gamma-limits of integral functionals. Ann. Inst. H. Poincaré Anal. Non Linéaire 31
(2014), 185-202.
122. Ansini N., Dal Maso G., Zeppieri C.I.: Gamma-convergence
and H-convergence of linear elliptic operators. J. Math. Pures Appl. 99 (2013), 321-329.
123. Agostiniani V., Dal Maso G.,
DeSimone A.: Attainment results for
nematic elastomers. Proc. Roy. Soc. Edinburgh Sect. A 145
(2015), 669-701.
124. Dal Maso G., Fonseca I., Leoni G.: Analytical
validation of a continuum model for epitaxial growth with elasticity on vicinal
surfaces. Arch. Ration. Mech. Anal. 212 (2014), 1037-1064.
125.
Dal
Maso G., DeSimone A., Morandotti M.: One-dimensional
swimmers in viscous fluids: dynamics, controllability, and existence of optimal
controls. ESAIM Control Optim. Calc. Var. 21
(2015), 190-216.
126.
Almi S., Dal Maso G., Toader R.: Quasi-static
crack growth in hydraulic fracture. Nonlinear Anal. 109
(2014), 301-318.
127.
Dal
Maso G., Orlando G., Toader R.: Laplace
equation in a domain with a rectilinear crack: higher order derivatives of the
energy with respect to the crack length. NoDEA
Nonlinear Differential Equations Appl. 22 (2015), 449-476.
128. Dal Maso G., Scala R.: Quasistatic
evolution in perfect plasticity as limit of dynamic processes. J. Dynam. Differential Equations 26 (2014) 915-954.
129. Dal Maso G., Fonseca I., Leoni G.: Second order
asymptotic development for the anisotropic Cahn-Hilliard functional. Calc.
Var. Partial Differential Equations 54 (2015), 1119-1145.
130. Dal Maso G., Orlando G., Toader
R.: Fracture models for elasto-plastic materials as limits of gradient damage
models coupled with plasticity: the antiplane case.
Calc. Var. Partial Differential Equations 55 (2016), Article 45.
131. Dal Maso G., Orlando G., Toader
R.: Lower semicontinuity
of a class of integral functionals on the space of functions of bounded
deformation. Adv. Calc. Var. 10 (2017), 183-207.
132. Dal Maso G., Larsen C.J., Toader
R.: Existence for constrained dynamic
Griffith fracture with a weak maximal dissipation condition. J. Mech.
Phys. Solids 95 (2016), 697-707.
133. Dal Maso G., Morandotti M.: A model for the quasistatic growth of
cracks with fractional dimension. Nonlinear Anal. 154 (2017),
43-58.
134. Dal Maso G., Lucardesi I.: The wave equation on domains with cracks
growing on a prescribed path: existence, uniqueness, and continuous dependence
on the data. Appl. Math. Res. Express. AMRX 1 (2017) 184-241.
135. Dal Maso G., Lazzaroni G.,
Nardini L.: Existence and uniqueness
of dynamic evolutions for a peeling test in dimension one. J.
Differential Equations 261 (2016), 4897-4923.
136. Almi S., Dal Maso G., Toader R.: A
lower semicontinuity result for a free discontinuity
functional with a boundary term. J. Math. Pures
Appl. 108 (2017), 952-970.
137. Dal Maso G., Fonseca I., Leoni G.: Asymptotic analysis of second order
nonlocal Cahn-Hilliard-type functionals. Trans. Amer. Math. Soc. 370
(2018), 2785-2823.
138. Alicandro R., Dal Maso G., Lazzaroni G., Palombaro M.: Derivation of a linearised
elasticity model from singularly perturbed multiwell
energy functionals. Arch. Ration. Mech. Anal. 230 (2018),
1-45 and 47-48.
139. Dal Maso G., Larsen C.J., Toader R.: Existence
for elastodynamic Griffith fracture with a weak
maximal dissipation condition. J. Math. Pures
Appl. (9) 127 (2019),
160-191.
140. Dal Maso G., Franzina G., Zucco D.: Transmission conditions obtained by homogenisation. Nonlinear Anal. 177
(2018), part A, 361-386.
141. Cagnetti F., Dal Maso G., Scardia L., and Zeppieri C.I.: Gamma-convergence of free-discontinuity problems. Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), 1035-1079.
142. Dal Maso G., De Luca L.: A
minimization approach to the wave equation on time-dependent domains. Adv.
Calc. Var. 13 (2020), 425-436.
143. Dal Maso G., Toader R.: On
the Cauchy problem for the wave equation on time-dependent domains. J.
Differential Equations 266 (2019), 3209-3246.
144. Cagnetti F., Dal Maso G., Scardia L., Zeppieri C.I.: Stochastic homogenisation
of free-discontinuity problems. Arch. Ration. Mech. Anal. 233 (2019), 935-974.
145. Dal Maso G., Larsen C.J., Toader
R.: Elastodynamic Griffith fracture on prescribed crack paths
with kinks. NoDEA Nonlinear Differential
Equations Appl. 27 (2020), no 1. Art. 4.
146. Dal Maso G., Toader
R: On
the jerky crack growth in elastoplastic materials. Calc. Var. Partial Differential Equations 59 (2020), no. 4, Paper No. 107.
147. Dal Maso G., Heltai L.: A numerical study of the jerky crack growth in
elastoplastic materials with localized plasticity. J. Convex Anal. 28
(2021) 535-548
148. Dal Maso G., Toader R: On the pure jump nature of
crack growth for a class of pressure-sensitive elasto-plastic
materials. Nonlinear Anal. 214 (2022), Paper No.
112539.
149. Cianci F., Dal Maso G.: Uniqueness
and continuous dependence for a viscoelastic problem with memory in domains
with time dependent cracks. Differential Integral Equat.
34 (2021), 595-620.
150. Dal Maso G., Sapio F.: Quasistatic
limit of a dynamic viscoelastic model with memory. Milan J. Math. 89
(2021), 485-522.
151. Cagnetti F., Dal
Maso G., Scardia L., Zeppieri
C.I.: A global method for deterministic and stochastic homogenisation
in BV. Ann. PDE 8 (2022), no. 1, Paper No. 8.
152. Dal Maso G., Toader
R: A new space of generalised functions with bounded variation motivated by
fracture mechanics. NoDEA Nonlinear Differential Equations Appl. 29 (2022), no. 6, Paper No. 63.
153. Dal Maso G., Rossi R., Savaré
G., Toader R: Visco-energetic solutions for a model
of crack growth in brittle materials. Ann. Scuola
Norm. Sup. Pisa Cl. Sci., to appear.
154. Braides
A., Dal Maso G.: Continuity of some
non-local functionals with respect to a convergence of the underlying measures.
J. Math. Pures Appl. 170 (2023), 136-149.
155. Dal Maso G., Toader R: Quasistatic
crack growth in elasto-plastic materials with
hardening: the antiplane case. Adv. Calc. Var.
17 (2024), 487-502.
156. Braides
A., Dal Maso G.: Compactness
for a class of integral functionals with interacting local and non-local terms.
Calc. Var. Partial Differential Equations 62 (2023), no. 5, Paper No. 148.
157. Dal Maso G., Donati D.: Gamma-convergence
of quadratic functionals perturbed by bounded linear functionals. Nonlinear Anal. 238
(2024), Paper No. 113395
158 Braides
A., Dal Maso G.: Validity
and failure of the integral representation of Γ-limits of convex non-local
functionals. J. Funct.
Anal. 286 (2024), no. 6, Paper No. 110317
159. Dal Maso G., Toader R: Gamma-convergence
and integral representation for a class of free discontinuity functionals. J. Convex
Anal. 31 (2024), no. 2, 411-476.
160. Braides
A., Dal Maso G., Le Bris C.: A
closure theorem for Gamma-convergence and H-convergence with applications to
non-periodic homogenization. Ann. Inst. H. Poincaré
Anal. Non Linéaire, to appear.
Research
announcements
1.
Buttazzo G., Dal Maso G.: Integral representation on W1,α
(Ω) and BV(Ω) of limits of variational integrals. Atti Accad.
Naz. Lincei Rend. Cl. Sci. Fis.
Mat. Natur. (8) 66 (1979),
338-343.
2. De Giorgi E., Dal Maso
G., Longo P.: Gamma-limiti di ostacoli. Atti Accad.
Naz. Lincei Rend. Cl. Sci. Fis.
Mat. Natur. (8) 68
(1980), 481-487.
3. Dal Maso G.: Limiti di
soluzioni di problemi variazionali con ostacoli bilaterali. Atti Accad. Naz. Lincei Rend. Cl. Sci.
Fis. Mat. Natur. (8) 69 (1980), 333-337.
4. Dal Maso G.: Limiti di
problemi di minimo per funzionali convessi con ostacoli unilaterali. Atti Accad. Naz. Lincei Rend. Cl. Sci.
Fis. Mat. Natur. (8) 73 (1982), 15-20.
5. Buttazzo G., Dal Maso G.:
Gamma-convergence et problmes
de perturbation singulire. C. R. Acad. Sci.
Paris Sér. I Math. 296 (1983), 649-651.
6.
Dal
Maso G.: Limits of minimum problems for general integral functionals with
unilateral obstacles. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 74 (1983), 55-61.
7. Dal Maso G., De Giorgi
E., Modica L.: Convergenza debole di misure su spazi di funzioni semicontinue. Atti
Accad. Naz. Lincei Rend.
Cl. Sci. Fis. Mat. Natur. (8) 79 (1985), 98-106.
8. Dal Maso G., Defranceschi
A.: Limiti di problemi di Dirichlet nonlineari in domini variabili. Atti Accad.
Naz. Lincei Rend. Cl. Sci. Fis.
Mat. Natur. (8) 81
(1987), 111-118.
9. Dal Maso G., Morel J.M., Solimini S.: Une approche variationnelle en traitement
d'images: résultats d'existence
et approximation. C. R. Acad. Sci. Paris Sér. I Math. 308 (1989), 549-554.
10. Dal Maso G., Murat
F., Orsina L., Prignet A.:
Definition and existence of renormalized solutions of elliptic equations with
general measure data. C. R. Acad. Sci. Paris Sér.
I Math. 325 (1997), 481-486.
11. Alberti G., Bouchitté G., Dal Maso G.: The calibration method for the
Mumford-Shah functional. C. R. Acad. Sci. Paris Sér.
I Math. 329 (1999), 249-254.
Conference
proceedings
1.
Dal Maso G.:
Limiti di problemi di minimo con ostacoli. Atti del Convegno su ``Studio di
Problemi-Limite della Analisi Funzionale'' (Bressanone,1981), 79-100,
Pitagora Editrice, Bologna, 1982.
2.
Dal
Maso G.: Some singular perturbation problems in the calculus of variations. Ennio
De Giorgi Colloquium, 41-49, Res. Notes in Math. 125, Pitman, London,
1985.
3.
Dal
Maso G.: Convergence of unilateral convex sets. Optimization and related
fields (Erice, 1984), 181-190, Lecture Notes
in Math., 1190, Springer-Verlag, Berlin, 1986.
4.
Dal
Maso G., De Giorgi E., Modica L.: Weak convergence of measures on spaces of
lower semicontinuous functions. Proc. of the Internat.
Workshop on Integral Functionals in Calculus of Variations (Trieste, 1985),
Rend. Circ. Mat. Palermo (2), suppl. 15 (1987), 59-100.
5.
Dal
Maso G., Murat F.: Dirichlet problems in perforated domains for homogeneous
monotone operators on H10. Calculus of Variations,
Homogenization and Continuum Mechanics (CIRM-Luminy,
Marseille, 1993), 177-202, World Scientific, Singapore, 1994.
6.
Dal
Maso G.: Capacity and Dirichlet problems in varying domains. Variational
Methods for Discontinuous Structures (Como, 1994), 105-110, Birkhäuser, Basel, 1996.
7.
Casado-Diaz
J., Dal Maso G.: A weak notion of convergence in capacity with applications to
thin obstacle problems. Calculus of Variations and Differential Equations
(Haifa, 1998), 56-64, Chapman & Hall/CRC, 1999.
8.
Dal
Maso G.: The calibration method for free discontinuity problems. European
Congress of Mathematics (Barcelona, 2000), Vol. I, 317-326, Birkhäuser, Boston, 2001.
9.
Dal
Maso G., Frankowska H.: Uniqueness of solutions to
Hamilton-Jacobi equations arising in the Calculus of Variations. Optimal
Control and Partial Differential Equations. In honour
of Professor Alain Bensoussan 60th Birthday (Paris, 2000), J.L. Menaldi, E. Rofman, A. Sulem ed.,
335-345, IOS Press, Amsterdam, 2001.
10. Dal Maso G.:
Variational problems in fracture mechanics. New Developments in the Calculus
of Variations (Benevento, March 2005), 57-67, Edizioni
Scientifiche Italiane, Napoli, 2006.
11. Dal Maso G., Lazzaroni G.: Crack growth with non-interpenetration: a
simplified proof for the pure Neumann problem. Discrete Contin. Dynam. Systems, special iusse in honour of E. De Giorgi and G. Stampacchia,
31 (2011), 1219-123. Napoli, 2006.
Chapters in
collective volumes
1.
Dal
Maso G., Modica L.: A general theory of variational functionals. Topics in
Functional Analysis (1980-1981), 149-221, Quaderni
Scuola Norm. Sup. Pisa, Pisa, 1981.
2.
Carriero M., Dal Maso G., Leaci A., Pascali E.: Limits of obstacle problems for the area
functional. Partial Differential Equations and the Calculus of Variations,
Essays in Honor of Ennio De Giorgi, 285-309, Birkhäuser,
Boston, 1989.
3.
Buttazzo G., Dal Maso G., Mosco U.: Asymptotic behaviour for Dirichlet problems in domains bounded by thin
layers. Partial Differential Equations and the Calculus of Variations,
Essays in Honor of Ennio De Giorgi, 193-249, Birkhäuser,
Boston, 1989.
4. Dal Maso G.: Problemi di semicontinuit e rilassamento nel calcolo delle variazioni. Notes
of a course. Equazioni Differenziali e Calcolo
delle Variazioni (Pisa, 1992), 145-196, Quaderni dell'Unione Matematica
Italiana 39, Pitagora, Bologna, 1995.
5.
Dal
Maso G., Francfort G.A., Toader
R.: Quasi-static crack evolution in brittle fracture: the case of bounded
solutions. Calculus of Variations.
Topics from the Mathematical Heritage of Ennio De
Giorgi,
247-266, Quaderni di Matematica, Dipartimento di Matematica della Seconda Universit di Napoli, Vol. 14, 2004.
Chapters in encyclopedias
1. Buttazzo G., Dal Maso G.,
De Giorgi E.: Calcolo delle variazioni. Enciclopedia del Novecento, Volume
XI, 832-848, Istituto della Enciclopedia Italiana, Roma, 1998.
2. Dal Maso G.: Calcolo
delle variazioni. In ``Storia della Scienza'', diretta da S. Petruccioli,
Vol. IX, 293-301, Istituto della Enciclopedia Italiana, Roma, 2003.
3. Dal Maso G.: Gamma-convergence and homogenization. Encyclopedia of
Mathematical Physics, edited by Jean -Pierre Françoise, Greg Naber, and Tsou
Sheung Tsun, 449-457, Elsevier, Oxford,
2006.
Chapters in
nonscientific books
1.
Dal Maso G.: Ennio De Giorgi. New Dictionary of Scientific
Biography, Vol. 2, Charles Scribner's Sons, The Gale Group, Farmington Hills,
MI,
2007.
Preprints
1.
Dal Maso G., Garroni A.:
Capacity theory for non-symmetric elliptic operators. Preprint SISSA, Trieste,
1993.
2. Bellettini G., Coscia A., Dal
Maso G.: Special functions of bounded deformation. Preprint SISSA, Trieste,
1995.
3. Alberti G., Bouchitté G., Dal Maso G.: The calibration method for the
Mumford-Shah functional (preliminary version). Preprint SISSA, Trieste, 1998.
4. Dal Maso G., Frankowska H.: Value functions for Bolza
problems with discontinuous Lagrangians and
Hamilton-Jacobi inequalities. Preprint SISSA, Trieste, 1999.
5. Dal Maso G.: Solutions of
Neumann problems in domains with cracks and applications to fracture mechanics.
Lecture notes of a course held at the Carnegie Mellon University, Pittsburgh,
2001. Preprint SISSA, Trieste, 2001.
6. Dal Maso G., Gulliver R.,
Mosco U.: Asymptotic spectrum of manifolds of increasing topological type.
Preprint SISSA, Trieste, 2001.
7. Dal Maso G.,Toader
R.: Homogenisation problems for free discontinuity
functionals with bounded cohesive surface terms. Preprint SISSA, Trieste, 2023.
8. Dal Maso G., Donati
D.: Homogenisation
of vectorial free-discontinuity functionals with cohesive type surface terms.
Preprint SISSA, Trieste, 2024.