Fractional differentiability for elliptic measure data problems with variable exponents

被引：0

作者：

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

Song, Kyeong ^{[3
]}

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] Korea Inst Adv Study, Sch Math, Seoul 02455, South Korea

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 375卷

基金：

新加坡国家研究基金会;

关键词：

Measure data; Variable exponent; Fractional differentiability; ZYGMUND THEORY; REGULARITY; FUNCTIONALS; EQUATIONS; POTENTIALS;

D O I：

10.1016/j.jde.2023.09.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate quasilinear elliptic equations with variable growth exponents having a Borel measure on the right-hand side. We prove fractional differentiability results for a certain nonlinear expression of the gradient of solutions.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：769 / 795

页数：27

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