Standing waves for a class of quasilinear Schrödinger equations. Issue 6 (2nd June 2016)

• Record Type: Journal Article
• Authors: Shen, Yaotian; Wang, Youjun
• Is Part Of: Complex variables and elliptic equations. Volume 61:Issue 6(2016)
• Page Start: 817
• Page End: 842
• Publication Date: 2016-06-02
• Subjects: quasilinear Schrödinger equations -- critical exponents -- Minimax methods -- generalized; 35J20 -- 35J62; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2015.1119818
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract : We study the existence of standing wave solutions for a class of quasilinear Schrödinger equations with subcritical or critical growth where is a given potential, is a parameter. By variational methods, we investigate the range of parameters where the existence of non-trivial solutions can be guaranteed. Especially, by combing Resonance and Hahn–Banach theorems, we improve some previous results on .