@article {2010,
	title = {Homogenization of fiber reinforced brittle material: the intermediate case},
	journal = {Adv. Calc. Var. 3 (2010) 345-370},
	number = {SISSA;14/2009/M},
	year = {2010},
	publisher = {Walter de Gruyter},
	abstract = {We derive a cohesive fracture model by homogenizing a periodic composite material whose microstructure is characterized by the presence of brittle inclusions in a reticulated unbreakable elastic structure.},
	doi = {10.1515/ACV.2010.011},
	url = {http://hdl.handle.net/1963/3607},
	author = {Gianni Dal Maso and Caterina Ida Zeppieri}
}
@article {2009,
	title = {A higher order model for image restoration: the one dimensional case},
	journal = {SIAM J. Math. Anal. 40 (2009) 2351-2391},
	number = {SISSA;66/2008/M},
	year = {2009},
	abstract = {The higher order total variation-based model for image restoration proposed by Chan, Marquina, and Mulet in [6] is analyzed in one dimension. A suitable functional framework in which the minimization problem is well posed is being proposed and it is proved analytically that the\\nhigher order regularizing term prevents the occurrence of the staircase effect. The generalized version of the model considered here includes, as particular cases, some curvature dependent functionals.},
	doi = {10.1137/070697823},
	url = {http://hdl.handle.net/1963/3174},
	author = {Gianni Dal Maso and Irene Fonseca and Giovanni Leoni and Massimiliano Morini}
}
@article {2009,
	title = {Homogenization of fiber reinforced brittle materials: the extremal cases},
	journal = {SIAM J. Math. Anal. 41 (2009) 1874-1889},
	number = {SISSA;49/2008/M},
	year = {2009},
	publisher = {SIAM},
	abstract = {We analyze the behavior of a fragile material reinforced by a reticulated elastic unbreakable structure in the case of antiplane shear. The microscopic geometry of this material is described by means of two small parameters: the period $\\\\varepsilon$ of the grid and the ratio $\\\\delta$ between the thickness of the fibers and the period $\\\\varepsilon$. We show that the asymptotic behavior as $\\\\varepsilon\\\\to0^+$ and $\\\\delta\\\\to0^+$ depends dramatically on the relative size of these parameters. Indeed, in the two cases considered, i.e., $\\\\varepsilon\\\\ll\\\\delta$ and $\\\\varepsilon\\\\gg\\\\delta$, we obtain two different limit models: a perfectly elastic model and an elastic model with macroscopic cracks, respectively.},
	url = {http://hdl.handle.net/1963/2705},
	author = {Marco Barchiesi and Gianni Dal Maso}
}
@article {2004,
	title = {Higher order quasiconvexity reduces to quasiconvexity},
	journal = {Arch. Ration. Mech. Anal. 171 (2004) 55-81},
	number = {SISSA;41/2003/M},
	year = {2004},
	publisher = {Springer},
	abstract = {In this paper it is shown that higher order quasiconvex functions suitable in the variational treatment of problems involving second derivatives may be extended to the space of all matrices as classical quasiconvex functions. Precisely, it is proved that a smooth strictly 2-quasiconvex function with p-growth at infinity, p>1, is the restriction to symmetric matrices of a 1-quasiconvex function with the same growth. As a consequence, lower semicontinuity results for second-order variational problems are deduced as corollaries of well-known first order theorems.},
	doi = {10.1007/s00205-003-0278-1},
	url = {http://hdl.handle.net/1963/2911},
	author = {Gianni Dal Maso and Irene Fonseca and Giovanni Leoni and Massimiliano Morini}
}
