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

被引：8

作者：

Beck, Lisa ^{[1
]}

Mingione, Giuseppe ^{[2
]}

机构：

[1] Univ Augsburg, Inst Math, Univ Str 14, D-86159 Augsburg, Germany

[2] Univ Parma, Dipartimento SMFI, Viale Sci 53-A Campus, I-43124 Parma, Italy

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2019年 / 30卷 / 02期

关键词：

Regularity; non-uniform ellipticity; Lorentz spaces; REGULARITY; GRADIENT; MINIMIZERS; FUNCTIONALS;

D O I：

10.4171/RLM/844

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：223 / 236

页数：14

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