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

Claudianor O. Alves; Giovany M. Figueiredo

arxiv: 1304.4960 · v1 · pith:THMYVJGQnew · submitted 2013-04-17 · 🧮 math.AP

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

Claudianor O. Alves , Giovany M. Figueiredo This is my paper

classification 🧮 math.AP

keywords classequationsmultiplicitysolutionscomplexcriticaldingerequation

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

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