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;
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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.
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页码：728 / 743
页数：16
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