We prove higher differentiability of bounded local minimizers to some widely degen- erate functionals, verifying superquadratic anisotropic growth conditions. In the two dimensional case, we prove that local minimizers to a model functional are locally Lipschitz continuous functions, without any restriction on the anisotropy.
Sobolev and Lipschitz regularity for local minimizers of widely degenerate anisotropic functionals
PISANTE, Giovanni;
2017
Abstract
We prove higher differentiability of bounded local minimizers to some widely degen- erate functionals, verifying superquadratic anisotropic growth conditions. In the two dimensional case, we prove that local minimizers to a model functional are locally Lipschitz continuous functions, without any restriction on the anisotropy.File in questo prodotto:
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