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Approximation results by difference schemes of fracture energies: the vectorial case
Authors:Email author" target="_blank">Matteo?FocardiEmail author  Maria?Stella?Gelli
Institution:(1) Dipartimento di Matematica , ldquoU. Dinirdquo, v.le Morgagni 67/a, I-50134 Firenze, Italy;(2) Dipartimento di Matematica, ldquoL. Tonellirdquo, via F. Buonarroti 2, I-56127 Pisa, Italy
Abstract:In this paper we deal with Monge-Ampère type equations in two dimensions and, using the symmetrization with respect to the perimeter, we prove some comparison results for solutions of such equations involving the solutions of conveniently symmetrized problems.
Keywords:49J45  49M25  74R10
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