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Open Access Research

Existence and multiplicity of positive bound states for Schrödinger equations

Sun Sheng, Fanglei Wang* and Tianqing An

Author Affiliations

College of Science, Hohai University, Nanjing, 210098, P.R. China

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Boundary Value Problems 2013, 2013:271  doi:10.1186/1687-2770-2013-271

Published: 12 December 2013

Abstract

In this paper, we study the existence and multiplicity of positive bound states of non-autonomous systems of nonlinear Schrödinger equations. The proof is based on the fixed point theorems in a cone.

MSC: 34B15, 35J20.

Keywords:
nonlinear Schrödinger systems; positive solutions; fixed point theorems