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

作　　者：Xiao-yao JIA Zhen-luo LOU 

机构地区：[1]School of Economics and Management,Zhongyuan University of Technology,Zhengzhou 450007,China [2]Mathematics and Statistics School,Henan University of Science and Technology,Luoyang 471023,China

出　　处：《Acta Mathematicae Applicatae Sinica》2024年第3期728-743,共16页应用数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China (No.12101192, 11571339, 11871195,11301153);Key Scientific Research Projects of Higher Education Institutions in Henan Province(No.20B110004)。

摘　　要：In this paper,we study the following quasi-linear elliptic equation:■where Ω?R^(N) is 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,λ_(0)),where λ_(0)> 0 is a fixed constant.

关 键 词：quasi-linear elliptic equations variational methods Orlicz-Sobolev spaces 

分 类 号：O175.25[理学—数学]