Besov Regularity Estimates for a Class of Obstacle Problems with Variable Exponents

被引：0
|
作者：
Ma, Rumeng [1 ]
Yao, Fengping [2 ,3 ]
机构：
[1] Changzhou Univ, Dept Math, Changzhou 213164, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[3] Shanghai Univ, Newtouch Ctr Math, Shanghai 200444, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2025年 / 196卷 / 01期
关键词：
Besov spaces; Regularity; Obstacle problems; Variable exponents; HIGHER DIFFERENTIABILITY; ELLIPTIC-SYSTEMS; EQUATIONS;
D O I：
10.1007/s10440-025-00718-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we obtain the local regularity estimates in Besov spaces of weak solutions for a class of elliptic obstacle problems with variable exponents p(x). We deal with the case in which the solutions to the obstacle problems satisfy a variational inequality in the following form integral(Omega)< A(x,Du), D(phi-u)> dx >=integral(Omega)< F, D(phi-u)> dx under some proper assumptions on the function p(x), A, phi and F. Moreover, we would like to point out that our results improve the known results for such problems.
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