Multiple solutions to a quasilinear Schrödinger equation with Robin boundary condition

AIMS Mathematics

Yin Deng¹  Gao Jia²  Fanglan Li³ 

[1] 1 Business School, University of Shanghai for Science and Technology, Shanghai, 200093, China;2 College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China;3 Shanghai University of Medicine and Health Sciences, Shanghai, 201318, China;

关键词: quasilinear schrödinger equation;    robin boundary;    multiple solutions;    fountain theorem;   

DOI  :  10.3934/math.2020248

来源: DOAJ

【 摘 要 】

We study a quasilinear Schrödinger equation with Robin boundary condition. Using the variational methods and the truncation techniques, we prove the existence of two positive solutions when the parameter λ is large enough. We also establish the existence of infinitely many high energy solutions by using Fountain Theorem when λ > 1.

【 授权许可】

Unknown