Infinitely many positive solutions for a double phase problem

Boundary Value Problems

Gang-Ling Hou¹  Bei-Lei Zhang²  Bin Ge² 

[1] College of Aerospace and Civil Engineering, Harbin Engineering University;School of Mathematical Sciences, Harbin Engineering University;

关键词: Double phase operator;    Multiple solutions;    Variational methods;   

DOI  :  10.1186/s13661-020-01439-9

来源: DOAJ

【 摘 要 】

Abstract 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 ( Ω ) $W_{0}^{1,H}(\varOmega )$ -norms and L ∞ $L^{\infty }$ -norms tend to zero under suitable hypotheses about nonlinearity.

【 授权许可】

Unknown