EXISTENCE OF WEAK SOLUTIONS FOR ELLIPTIC DIRICHLET PROBLEMS WITH VARIABLE EXPONENT

被引：0
|
作者：
Kim, Sungchol [1 ]
Ri, Dukman [1 ]
机构：
[1] Univ Sci, Dept Math, Pyongyang, North Korea
来源：
MATHEMATICA BOHEMICA | 2023年 / 148卷 / 03期
关键词：
variable exponent; existence; variational methods; Dirichlet problem; HOLDER CONTINUITY; EQUATIONS; FUNCTIONALS; OPERATORS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents several sufficient conditions for the existence of weak solutions to general nonlinear elliptic problems of the type 1.-div a(x, u, backward difference u) + b(x, u, backward difference u) = 0 in omega, u = 0 on partial differential omega, where omega is a bounded domain of Rn, n 2. In particular, we do not require strict mono -tonicity of the principal part a(x, z, center dot), while the approach is based on the variational method and results of the variable exponent function spaces.
引用
收藏
页码：283 / 302
页数：20
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