Mixed local and nonlocal equations with measure data

被引：13

作者：

Byun, Sun-Sig ^{[1
,2
]}

Song, Kyeong ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 62卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

ELLIPTIC-EQUATIONS; REGULARITY THEORY; DIRICHLET FORMS; CONTINUITY; POTENTIALS;

D O I：

10.1007/s00526-022-02349-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study nonlinear measure data problems involving elliptic operators modeled after the mixed local and nonlocal p-Laplacian. We establish existence, regularity and Wolff potential estimates for solutions. As a consequence, we are able to obtain Calderon-Zygmund type estimates and continuity criteria for solutions.

引用

页数：35

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