Calculus of Variations and Geometric Measure Theory
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L. Beck - G. Mingione

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

created by beck on 17 Jul 2018

[BibTeX]

preprint

Inserted: 17 jul 2018

Year: 2018

ArXiv: 1806.03326 PDF

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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