@article {2017,
	title = {Gamma-Convergence of Free-discontinuity problems},
	number = {SISSA;18/2017/MATE},
	year = {2017},
	institution = {SISSA},
	abstract = {We study the Gamma-convergence of sequences of free-discontinuity functionals depending on vector-valued functions u which can be discontinuous across hypersurfaces whose shape and location are not known a priori. The main novelty of our result is that we work under very general assumptions on the integrands which, in particular, are not required to be periodic in the space variable. Further, we consider the case of surface integrands which are not bounded from below by the amplitude of the jump of u. We obtain three main results: compactness with respect to Gamma-convergence, representation of the Gamma-limit in an integral form and identification of its integrands, and homogenisation formulas without periodicity assumptions. In particular, the classical case of periodic homogenisation follows as a by-product of our analysis. Moreover, our result covers also the case of stochastic homogenisation, as we will show in a forthcoming paper.},
	url = {http://preprints.sissa.it/handle/1963/35276},
	author = {Filippo Cagnetti and Gianni Dal Maso and Lucia Scardia and Caterina Ida Zeppieri}
}
@article {2012,
	title = {Gamma-convergence and H-convergence of linear elliptic operators},
	journal = {Journal de Math{\'e}matiques Pures et Appliqu{\'e}es, Available online 12 September 2012},
	number = {SISSA;04/2012/M},
	year = {2012},
	publisher = {Elsevier},
	keywords = {Linear elliptic operators},
	doi = {10.1016/j.matpur.2012.09.004},
	url = {http://hdl.handle.net/1963/5878},
	author = {Nadia Ansini and Gianni Dal Maso and Caterina Ida Zeppieri}
}
@article {9991,
	title = {Generalised functions of bounded deformation},
	journal = {J. Eur. Math. Soc. (JEMS), to appear},
	year = {2011},
	publisher = {SISSA},
	abstract = {<p>We introduce the space GBD of generalized functions of bounded deformation and study the structure properties of these functions: the rectifiability and the slicing properties of their jump sets, and the existence of their approximate symmetric gradients. We conclude by proving a compactness results for GBD, which leads to a compactness result for the space GSBD of generalized special functions of bounded deformation. The latter is connected to the existence of solutions to a weak formulation of some variational problems arising in fracture mechanics in the framework of linearized elasticity.</p>},
	keywords = {free discontinuity problems, special functions of bounded deformation, jump set, rec- tifiability, slicing, approximate differentiability},
	url = {http://hdl.handle.net/1963/6374},
	author = {Gianni Dal Maso}
}
@article {2008,
	title = {Globally stable quasistatic evolution in plasticity with softening},
	journal = {Netw. Heterog. Media 3 (2008) 567-614},
	number = {SISSA;23/2007/M},
	year = {2008},
	abstract = {We study a relaxed formulation of the quasistatic evolution problem in the context of small strain associative elastoplasticity with softening. The relaxation takes place in spaces of generalized Young measures. The notion of solution is characterized by the following properties: global stability at each time and energy balance on each\\ntime interval. An example developed in detail compares the solutions obtained by this method with the ones provided by a vanishing viscosity approximation, and shows that only the latter capture a decreasing branch in the stress-strain response.},
	url = {http://hdl.handle.net/1963/1965},
	author = {Gianni Dal Maso and Antonio DeSimone and Maria Giovanna Mora and Massimiliano Morini}
}
@article {2008,
	title = {Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics},
	journal = {Calc. Var. Partial Differential Equations 31 (2008) 137-145},
	number = {SISSA;50/2005/M},
	year = {2008},
	abstract = {In this note we consider a free discontinuity problem for a scalar function, whose energy depends also on the size of the jump. We prove that the gradient of every smooth local minimizer never exceeds a constant, determined only by the data of the problem.},
	doi = {10.1007/s00526-006-0084-3},
	url = {http://hdl.handle.net/1963/1723},
	author = {Gianni Dal Maso and Adriana Garroni}
}
@article {2001,
	title = {Gamma-limit of periodic obstacles},
	journal = {Acta Appl. Math., 2001, 65, 207-215},
	number = {SISSA;37/00/M},
	year = {2001},
	publisher = {SISSA Library},
	abstract = {We compute the Gamma-limit of a sequence obstacle functionals in the case of periodic obstacles.},
	doi = {10.1023/A:1010668530972},
	url = {http://hdl.handle.net/1963/1495},
	author = {Gianni Dal Maso and Paola Trebeschi}
}
@article {1990,
	title = {G-convergence of monotone operators},
	journal = {Ann. Inst. H. Poincare\\\' Anal. Non Lin{\'e}re 7 (1990), no. 3, 123-160},
	number = {SISSA;84/88/M},
	year = {1990},
	publisher = {SISSA Library},
	url = {http://hdl.handle.net/1963/680},
	author = {Valeria Chiad{\`o} Piat and Gianni Dal Maso and Anneliese Defranceschi}
}
@article {1990,
	title = {A general chain rule for distributional derivatives},
	journal = {Proc. Amer. Math. Soc.  108  (1990),  no. 3, 691-702},
	number = {SISSA;54/88/M},
	year = {1990},
	publisher = {SISSA Library},
	url = {http://hdl.handle.net/1963/650},
	author = {Luigi Ambrosio and Gianni Dal Maso}
}
