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arXiv · 1604.04189

Sobolev and Lipschitz regularity for local minimizers of widely degenerate anisotropic functionals

Lorenzo Brasco·Chiara Leone·Giovanni Pisante·Anna Verde
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Abstract

We prove higher differentiability of bounded local minimizers to some widely degenerate 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.

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Lorenzo Brasco, Chiara Leone, Giovanni Pisante, Anna Verde. 2016-04-14. Sobolev and Lipschitz regularity for local minimizers of widely degenerate anisotropic functionals. https://arxiv.org/abs/1604.04189

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