Sobolev and Lipschitz regularity for local minimizers of widely degenerate anisotropic functionals
Analysis of PDEs
2016-04-15 v1
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.
Keywords
Cite
@article{arxiv.1604.04189,
title = {Sobolev and Lipschitz regularity for local minimizers of widely degenerate anisotropic functionals},
author = {Lorenzo Brasco and Chiara Leone and Giovanni Pisante and Anna Verde},
journal= {arXiv preprint arXiv:1604.04189},
year = {2016}
}