Multiplicity of solutions for a NLS equations with magnetic fields in $\mathbb{R}^{N}$}

Claudianor O. Alves; Giovany M. Figueiredo

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arXiv · 1304.4960

Multiplicity of solutions for a NLS equations with magnetic fields in $\mathbb{R}^{N}$}

Claudianor O. Alves·Giovany M. Figueiredo

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Abstract

We investigate the multiplicity of nontrivial weak solutions for a class of complex equations. This class of problems are related with the existence of solitary waves for a nonlinear Sch\"{o}dinger equation. The main result is established by using minimax methods and Lusternik-Schnirelman theory of critical points.

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Claudianor O. Alves, Giovany M. Figueiredo. 2013-04-17. Multiplicity of solutions for a NLS equations with magnetic fields in $\mathbb{R}^{N}$}. https://arxiv.org/abs/1304.4960

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