Infinitely Many Solutions for a Class of Quasi-linear Elliptic Problem

被引：0

作者：

Xiao-yao JIA ^{[1
]}

Zhen-luo LOU ^{[2
]}

机构：

[1] School of Economics and Management, Zhongyuan University of Technology

[2] Mathematics and Statistics School, Henan University of Science and Technology

来源：

Acta Mathematicae Applicatae Sinica | 2024年 / 40卷 / 03期

基金：

中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

O175.25 [椭圆型方程];

学科分类号：

摘要：

In this paper,we study the following quasi-linear elliptic equation:■where Ω?RNis a bounded domain,λ>0 is a parameter.The function ψ(|t|)t is the subcritical term,and φ(|t|)t is the critical Orlicz-Sobolev growth term with respect to φ.Under appropriate conditions on φ,ψ and φ,we prove the existence of infinitely many weak solutions for quasi-linear elliptic equation,for λ∈(0,λ0),where λ0> 0 is a fixed constant.

引用

页码：728 / 743

页数：16

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