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Journal of Elliptic and Parabolic Equations

, Volume 1, Issue 2, pp 231–241 | Cite as

Existence of Standing Waves Solution for a Nonlinear Schrödinger Equation in ℝ N

  • Claudianor O. Alves
Article

Abstract

In this paper, we investigate the existence of a positive solution for the following class of elliptic equation
$$ - { \in ^2}\Delta u + V(x)u = f(u)\,in\,{R^N},$$
where ∈ > 0 is a positive parameter, f has a subcritical growth and V is a positive potential verifying some conditions.

2010 Mathematics Subject Classication

Primary: 35J20 Secondary: 35J65 

Key words and phrases

superlinear problem positive solution variational methods 

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Copyright information

© Orthogonal Publishing 2015

Authors and Affiliations

  1. 1.Universidade Federal de Campina Grande, Unidade Acadêmica de MatemáticaCampina Grande - PBBrazil

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