On the Existence of Solutions for Anisotropic p→-Laplacian Problems by the Variational Method

被引：0

作者：

Hadjian, Armin ^{[1
]}

Tersian, Stepan ^{[2
]}

机构：

[1] Univ Sci & Technol Mazandaran, Dept Math, Behshahr, Iran

[2] Bulgarian Acad Sci, Inst Math & Informat, Sofia 1113, Bulgaria

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2024年 / 21卷 / 07期

关键词：

Anisotropic operator; nonlinear elliptic equations; variational methods; infinitely many solutions; EIGENVALUE PROBLEM;

D O I：

10.1007/s00009-024-02747-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to establish the existence of infinitely many solutions for a class of anisotropic p(->)-Laplacian problems with Dirichlet boundary conditions, depending on two real parameters. These problems have a variational structure and some critical point theorems are applied. We also give an example to illustrate the obtained results.

引用

页数：13

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