Existence of Solutions of Anisotropic Problems with Variable Exponents with Robin Boundary Conditions

被引：0

作者：

Hsini, M. ^{[1
]}

Mbarki, L. ^{[1
]}

Das, K. ^{[2
]}

机构：

[1] Fac Sci Tunis Manar, Math Dept, Tunis 2092, Tunisia

[2] Taki Govt Coll, Math Dept, Taki 743429, India

来源：

MATHEMATICAL NOTES | 2022年 / 112卷 / 5-6期

关键词：

anisotropic p(x)-Laplacian; anisotropic Sobolev space; Mountain pass theorem; Ekeland variational principle; Robin boundary conditions; SPACES; FUNCTIONALS;

D O I：

10.1134/S0001434622110244

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of nontrivial weak solutions of the anisotropic problem with variable exponent and Robin boundary conditions is the focus of this research. We obtain the existence of solutions using the Mountain pass theorem and the Ekeland variational principle as well as the theory of the anisotropic variable exponent Sobolev space.

引用

页码：898 / 910

页数：13

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