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
收藏
页码：769 / 795
页数：27
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