Existence of solutions to quasilinear Schrodinger equations with indefinite potential

In this article, we study the existence and multiplicity of solutions of the quasilinear Schrodinger equation $$ -u''+V(x)u-(|u| ^2)''u=f(u) $$ on $\mathbb{R}$, where the potential $V$ allows sign changing and the nonlinearity satisfies conditions weaker than the classical...

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Bibliographic Details
Main Authors: Zupei Shen, Zhiqing Han
Format: Article
Language:English
Published: Texas State University 2015-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/91/abstr.html