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Existence of Standing Waves Solution for a Nonlinear Schrödinger Equation in ℝN

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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.

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Authors and Affiliations

  1. Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática, CEP:58429-900, Campina Grande - PB, Brazil

    Claudianor O. Alves

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  1. Claudianor O. Alves
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Correspondence to Claudianor O. Alves.

Additional information

Research of C. O. Alves partially supported by CNPq 304036/2013-7 and INCT-MAT

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Alves, C.O. Existence of Standing Waves Solution for a Nonlinear Schrödinger Equation in ℝN. J Elliptic Parabol Equ 1, 231–241 (2015). https://doi.org/10.1007/BF03377378

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  • DOI: https://doi.org/10.1007/BF03377378

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