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
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. Braides A., Dal Maso G.: Compactness for a class of integral functionals
with interacting local and non-local terms. Preprint SISSA, Trieste, 2022.
9. Braides A., Dal Maso G., Le Bris C.: A closure theorem for
Gamma-convergence and H-convergence with applications to non-periodic
homogenization. Preprint SISSA, Trieste, 2024.