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arXiv · 1806.03326

Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems

Lisa Beck·Giuseppe Mingione
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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.

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Lisa Beck, Giuseppe Mingione. 2018-06-08. Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems. https://arxiv.org/abs/1806.03326

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