Fractional differentiability for a class of double phase problems with measure data

被引：1

作者：

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

Shin, Pilsoo ^{[3
]}

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

[3] Kyonggi Univ, Dept Math, Suwon 16227, South Korea

来源：

MANUSCRIPTA MATHEMATICA | 2022年 / 167卷 / 3-4期

关键词：

Anisotropic problem; Measure data; Fractional differentiability; ELLIPTIC-EQUATIONS; REGULARITY; FUNCTIONALS; POTENTIALS;

D O I：

10.1007/s00229-021-01292-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with a borderline case of double phase problems with a finite Radon measure on the right-hand side. We obtain sharp fractional regularity estimates for such non-uniformly elliptic problems.

引用

页码：521 / 543

页数：23

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