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Open Access Research

Existence of solutions for semilinear elliptic equations on R N

Ruichang Pei12* and Jihui Zhang1

Author Affiliations

1 Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing, 210097, P.R. China

2 School of Mathematics and Statistics, Tianshui Normal University, Tianshui, 741001, P.R. China

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Boundary Value Problems 2013, 2013:163  doi:10.1186/1687-2770-2013-163

Published: 9 July 2013

Abstract

In this paper, the existence of at least one nontrivial solution for a class of semilinear elliptic equations on <a onClick="popup('http://www.boundaryvalueproblems.com/content/2013/1/163/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2013/1/163/mathml/M1">View MathML</a> is established by using the linking methods.

Keywords:
Schrödinger equation; subcritical exponent; local linking