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