Existence of weak solutions for p(x)-Laplacian-like problem with p(x)-Laplacian operator under Neumann boundary condition

被引：11

作者：

El Ouaarabi, Mohamed ^{[1
]}

Allalou, Chakir ^{[1
]}

Melliani, Said ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Fac Sci & Tech Beni Mellal, Lab LMACS, BP 523, Beni Mellal 23000, Morocco

来源：

SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2023年 / 17卷 / 02期

关键词：

Neumann boundary value problem; p(x)-Laplacian-like; p(x)-Laplacian operator; Topological degree theory; SPACES; MINIMIZERS;

D O I：

10.1007/s40863-022-00321-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our purpose is to establish the existence of weak solutions to Neumann boundary value problem for equations involving the p(x)-Laplacian-like operator and the p(x)-Laplacian operator. The existence proof is based on the theory of the variable exponent Sobolev spaces and the topological degree theory. Our result extend and generalize several corresponding results from the existing literature.

引用

页码：1057 / 1075

页数：19

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