@article {2018,
	title = {Stochastic homogenisation of free-discontinuity problems},
	number = {SISSA;05/2018/MATE},
	year = {2018},
	abstract = {In this paper we study the stochastic homogenisation of free-discontinuity functionals. Assuming stationarity for the random volume and surface integrands, we prove the
existence of a homogenised random free-discontinuity functional, which is deterministic in the ergodic case. Moreover, by establishing a connection between the deterministic convergence of the functionals at any fixed realisation and the pointwise Subadditive Ergodic Theorem by Akcoglou and Krengel, we characterise the limit volume and surface integrands in terms of asymptotic cell formulas.},
	url = {http://preprints.sissa.it/handle/1963/35309},
	author = {Filippo Cagnetti and Gianni Dal Maso and Lucia Scardia and Caterina Ida Zeppieri}
}
@article {2014,
	title = {Second Order Asymptotic Development for the Anisotropic Cahn-Hilliard Functional},
	year = {2014},
	note = {This article is composed if 33 pages and recorded in PDF format},
	publisher = {SISSA},
	abstract = {The asymptotic behavior of an anisotropic Cahn-Hilliard functional with prescribed mass and Dirichlet boundary condition is studied when the parameter $\varepsilon$ that determines the width of the transition layers tends to zero. The  double-well potential is assumed to be even and equal to $|s-1|^\beta$ near $s=1$, with  $1<\beta<2$. The first order term  in the asymptotic development by $\Gamma$-convergence is well-known, and is related to a suitable anisotropic perimeter of the interface. Here it is shown that, under these assumptions, the second order term is zero, which gives an estimate on the rate of convergence of the minimum values.},
	keywords = {Gamma-convergence, Cahn-Hilliard functional, phase transitions},
	url = {http://hdl.handle.net/1963/7390},
	author = {Gianni Dal Maso and Irene Fonseca and Giovanni Leoni}
}
@article {2011,
	title = {Singular perturbation models in phase transitions for second order materials},
	journal = {Indiana Univ. Math. J. 60 (2011) 367-409},
	number = {SISSA;20/2010/M},
	year = {2011},
	publisher = {Indiana University},
	abstract = {A variational model proposed in the physics literature to describe the onset of pattern formation in two-component bilayer membranes and amphiphilic monolayers leads to the analysis of a Ginzburg-Landau type energy with a negative term depending on the first derivative of the phase function. Scaling arguments motivate the study of the family of second order singular perturbed energies Fe having a negative term depending on the first derivative of the phase function. Here, the asymptotic behavior of {Fe} is studied using G-convergence techniques. In particular, compactness results and an integral representation of the limit energy are obtained.},
	doi = {10.1512/iumj.2011.60.4346},
	url = {http://hdl.handle.net/1963/3858},
	author = {Milena Chermisi and Gianni Dal Maso and Irene Fonseca and Giovanni Leoni}
}
@booklet {2005,
	title = {Solutions of Neumann problems in domains with cracks and applications to fracture mechanics},
	number = {arXiv.org;math.AP/0105132},
	year = {2005},
	url = {http://hdl.handle.net/1963/1684},
	author = {Gianni Dal Maso}
}
@article {2003,
	title = {A stability result for nonlinear Neumann problems under boundary variations},
	journal = {J.Math. Pures Appl. (9) 82 (2003) no.5 , 503},
	number = {SISSA;48/2002/M},
	year = {2003},
	publisher = {SISSA Library},
	abstract = {In this paper we study, in dimension two, the stability of the solutions of some nonlinear elliptic equations with Neumann boundary conditions, under perturbations of the domains in the Hausdorff complementary topology.},
	doi = {10.1016/S0021-7824(03)00014-X},
	url = {http://hdl.handle.net/1963/1618},
	author = {Gianni Dal Maso and Francois Ebobisse and Marcello Ponsiglione}
}
@article {1999,
	title = {Some properties of the solutions of obstacle problems with measure data},
	journal = {Ricerche Matematiche., Supplemento dedicato a Ennio De Giorgi, vol. 48 (1999), page : 99-116},
	year = {1999},
	url = {http://hdl.handle.net/1963/6432},
	author = {Paolo Dall{\textquoteright}Aglio and Gianni Dal Maso}
}
@article {1997,
	title = {Some properties of reachable solutions of nonlinear elliptic equations with measure data},
	journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze.  S{\'e}r. 4, 25 no. 1-2 (1997), p. 375-396},
	year = {1997},
	publisher = {SISSA},
	url = {http://hdl.handle.net/1963/6434},
	author = {Gianni Dal Maso and Annalisa Malusa}
}
@article {1995,
	title = {Special functions of bounded deformation},
	number = {SISSA;76/95/M},
	year = {1995},
	publisher = {SISSA Library},
	url = {http://hdl.handle.net/1963/978},
	author = {Giovanni Bellettini and Alessandra Coscia and Gianni Dal Maso}
}
@article {1991,
	title = {Shape optimization for Dirichlet problems: relaxed formulations and optimally conditions},
	journal = {Appl.Math.Optim. 23 (1991), no.1, p. 17-49.},
	number = {SISSA;124/89/M},
	year = {1991},
	publisher = {SISSA Library},
	url = {http://hdl.handle.net/1963/880},
	author = {Giuseppe Buttazzo and Gianni Dal Maso}
}
@article {1991,
	title = {On systems of ordinary differential equations with measures as controls},
	journal = {Differential Integral Equations 4 (1991), no.4, p.739-765.},
	number = {SISSA;82/89/M},
	year = {1991},
	publisher = {SISSA Library},
	url = {http://hdl.handle.net/1963/840},
	author = {Gianni Dal Maso and Franco Rampazzo}
}
@article {1990,
	title = {Shape optimization for Dirichlet problems: relaxed solutions and optimality conditions},
	journal = {Bull. Amer. Math. Soc. (N.S.) , 23 (1990), no.2, 531-535.},
	number = {SISSA;49/89/M},
	year = {1990},
	publisher = {SISSA Library},
	url = {http://hdl.handle.net/1963/809},
	author = {Giuseppe Buttazzo and Gianni Dal Maso}
}
@article {1988,
	title = {Some properties of a class of nonlinear variational $m$-capacities},
	journal = {J.Funct.Anal. 79, 1988, no. 2, 476-492},
	number = {SISSA;3/87/M},
	year = {1988},
	publisher = {SISSA Library},
	doi = {10.1016/0022-1236(88)90022-5},
	url = {http://hdl.handle.net/1963/485},
	author = {Gianni Dal Maso and Anneliese Defranceschi}
}
@article {1985,
	title = {Some necessary and sufficient conditions for the convergence of sequences of unilateral convex sets},
	journal = {J. Funct. Anal. 62 (1985), no. 2, 119--159},
	number = {SISSA;15/84/M},
	year = {1985},
	publisher = {SISSA Library},
	url = {http://hdl.handle.net/1963/318},
	author = {Gianni Dal Maso}
}
@article {1985,
	title = {Some singular perturbation problems in the calculus of variations.},
	journal = {Ennio De Giorgi Colloquium, p. 41-49, Research Notes in Mathematics, v.125, London : Pitman, 1985},
	number = {SISSA;62/83/M},
	year = {1985},
	publisher = {SISSA Library},
	url = {http://hdl.handle.net/1963/297},
	author = {Gianni Dal Maso}
}
