Multiple solutions for a parametric Steklov problem involving the p(x)-Laplacian operator

被引：0
|
作者：
Abdou, Aboubacar [1 ]
Gazibo, Mohamed Karimou [1 ]
Marcos, Aboubacar [2 ]
机构：
[1] Univ Abdou Moumouni, Ecole Normale Super, Dept Math, Niamey, Niger
[2] Univ Abomey Calavi, Inst Math & Sci Phys, Porto Novo, Benin
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2025年 / 04期
关键词：
Steklov problem; p ( x )-Laplacian operator; generalized Lebesgue-Sobolev spaces; variational method; Mountain Pass Theorem; Fountain Theorem; Dual Fountain Theorem; VARIABLE EXPONENT; DIRICHLET PROBLEMS; EXISTENCE; EQUATIONS; SPACES; EIGENVALUES; SPECTRUM;
D O I：
10.14232/ejqtde.2025.1.4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence and multiplicity of weak solutions for a Steklov problem involving p(x)-Laplacian operator in a bounded domain ohm subset of R-N (N >= 2) with smooth boundary partial derivative ohm. The boundary equation is perturbed with some weight functions belonging to approriate generalized Lebesgue spaces and two real parameters. Our arguments are based on variational method, using "Mountain Pass Theorem", "Fountain Theorem" and "Dual Fountain Theorem" combined with the critical points theory, we prove several existence results.
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页码：1 / 27
页数：27
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