Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems
Analysis of PDEs
2018-07-31 v2
Abstract
We report on new techniques and results in the regularity theory of general non-uniformly elliptic variational integrals. By means of a new potential theoretic approach we reproduce, in the non-uniformly elliptic setting, the optimal criteria for Lipschitz continuity known in the uniformly elliptic one and provide a unified approach between non-uniformly and uniformly elliptic problems.
Keywords
Cite
@article{arxiv.1806.03326,
title = {Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems},
author = {Lisa Beck and Giuseppe Mingione},
journal= {arXiv preprint arXiv:1806.03326},
year = {2018}
}