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Publications of Gianni Dal Maso

 

Books

 

1.            Dal Maso G.: An Introduction to Gamma-Convergence. BirkhŠuser, 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 ordonnŽ. Boll. Un. Mat. Ital. (5) 16-A (1979), 157-167.

 

4.            Dal Maso G.: Convergence faible et capacitŽs. 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(½) 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 CarathŽodory 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 µ-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 µ-capacities. J. Funct. Anal. 79 (1988), 476-492.

 

32.        Dal Maso G., Defranceschi A.: A Kellogg property for µ-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. PoincarŽ Anal. Non LinŽaire 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.        BouchittŽ G., Dal Maso G.: Integral representation and relaxation of convex local functionals on BV(½). Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 20 (1993), 483-533.

 

49.        Ambrosio L., Dal Maso G.: On the relaxation in BV(½;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. PoincarŽ Anal. Non LinŽaire 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(½). 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. RAIRO ModŽl. Math. Anal. NumŽr. 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., BouchittŽ 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. PoincarŽ Anal. Non LinŽaire 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. PoincarŽ Anal. Non LinŽaire 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. Cal. 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. PoincarŽ Anal. Non LinŽaire 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. PoincarŽ Anal. Non LinŽaire 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. Cal. Var., to appear.

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., I. 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., to appear.

137.   Dal Maso G., Fonseca I., Leoni G.: Asymptotic analysis of second order nonlocal Cahn-Hilliard-type functionals. Trans. Amer. Math. Soc., to appear.

 

Research announcements

 

1.            Buttazzo G., Dal Maso G.: Integral representation on W1,α (½) and BV(½) 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 problmes de perturbation singulire. C. R. Acad. Sci. Paris SŽr. 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: rŽsultats d'existence et approximation. C. R. Acad. Sci. Paris SŽr. 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 SŽr. I Math. 325 (1997), 481-486.

 

11.        Alberti G., BouchittŽ G., Dal Maso G.: The calibration method for the Mumford-Shah functional. C. R. Acad. Sci. Paris SŽr. 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, BirkhŠuser, 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, BirkhŠuser, 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, BirkhŠuser, 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, BirkhŠuser, Boston, 1989.

 

4.            Dal Maso G.: Problemi di semicontinuitˆ 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 Universitˆ 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 Franoise, 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., BouchittŽ 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.            Cagnetti F., Dal Maso G., Scardia L., Zeppieri C.I.: Gamma-convergence of free-discontinuity problems. Preprint SISSA, Trieste, 2017.

 

8.            Alicandro R., Dal Maso G., Lazzaroni G., Palombaro M.: Linearisation of multiwell energies. Preprint SISSA, Trieste, 2017.