Multiple solutions for a quasilinear Schrödinger equation

87Citations
Citations of this article
17Readers
Mendeley users who have this article in their library.

Abstract

In this paper we consider the quasilinear Schrödinger equation-δu+V(x)u-δ(u2)u=g(x,u), x∈RN, where g and V are periodic in x1,...,xN and g is odd in u, subcritical and satisfies a monotonicity condition. We employ the approach developed in Szulkin and Weth (2009, 2010) [15,16] and obtain infinitely many geometrically distinct solutions. © 2012 Elsevier Inc.

Cite

CITATION STYLE

APA

Fang, X. D., & Szulkin, A. (2013). Multiple solutions for a quasilinear Schrödinger equation. Journal of Differential Equations, 254(4), 2015–2032. https://doi.org/10.1016/j.jde.2012.11.017

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free