Existence and Multiplicity of Solutions for a Steklov Eigenvalue Problem Involving The p(x)-Laplacian-like Operator

被引：0

作者：

Boukhsas, A. ^{[1
]}

Karim, B. ^{[2
]}

Zerouali, A. ^{[3
]}

Chakrone, O. ^{[4
]}

机构：

[1] Moulay Ismail Univ Meknes, Fac Sci & Tech, Dept Math, Errachidia, Morocco

[2] Univ Mohammed Premier, Dept Math, Higher Sch Educ & Training, Oujda, Morocco

[3] Reg Ctr Trades Educ & Training, Oujda, Morocco

[4] Univ Mohammed First, Fac Sci, Dept Math, Oujda, Morocco

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2024年 / 42卷

关键词：

p(x)-Laplacian-like; Steklov problem; mountain pass theorem; variable exponent Sobolev space; BETA; GAMMA; EXTENSION;

D O I：

10.5269/bspm.62772

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the variational method, we prove the existence and multiplicity of solutions for a Steklov problem involving the p ( x )-Laplacian-like operator, originated from a capillary phenomena. Especially, an existence criterion for infinite many pairs of solutions for the problem is obtained.

引用

页数：9

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