Infinitely many positive solutions for a double phase problem

被引：3

作者：

Zhang, Bei-Lei ^{[1
]}

Ge, Bin ^{[1
]}

Hou, Gang-Ling ^{[2
]}

机构：

[1] Harbin Engn Univ, Sch Math Sci, Harbin 150001, Peoples R China

[2] Harbin Engn Univ, Coll Aerosp & Civil Engn, Harbin 150001, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Double phase operator; Multiple solutions; Variational methods; FUNCTIONALS; REGULARITY; EXISTENCE;

D O I：

10.1186/s13661-020-01439-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of infinitely many positive solutions to a class of double phase problem. By variational methods and the theory of the Musielak-Orlicz-Sobolev space, we establish the existence of infinitely many positive solutions whose W-0(1,H) (Omega)-norms and L-infinity-norms tend to zero under suitable hypotheses about nonlinearity.

引用

页数：10

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