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 | 2022年
关键词：
variable exponent; existence; variational methods; Dirichlet problem; HOLDER CONTINUITY; EQUATIONS; SPACES; FUNCTIONALS; OPERATORS;
D O I：
10.21136/MB.2022.0069-21
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 {(-div a(x, u, del u) + b(x, u, del u) = 0 in Omega, u = 0 on partial derivative Omega, where Omega is a bounded domain of R-n, n >= 2. In particular, we do not require strict monotonicity of the principal part a(x, z, .), 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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