Multiplicity of solutions for a NLS equations with magnetic fields in \(\mathbb {R}^{N}\) (Q405730)
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scientific article; zbMATH DE number 6340805
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicity of solutions for a NLS equations with magnetic fields in \(\mathbb {R}^{N}\) |
scientific article; zbMATH DE number 6340805 |
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Multiplicity of solutions for a NLS equations with magnetic fields in \(\mathbb {R}^{N}\) (English)
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5 September 2014
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The authors establish existence and 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 Schrödinger equation. The main result is established by using minimax methods and Lusternik-Schnirelman theory of critical points.
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nonlinear Schrödinger equation
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solitary waves
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electromagnetic fields
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complex-value solutions
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minimax method
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Lusternik-Schnirelman theory
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0.9511547
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0.9353903
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0.91992736
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0.91531813
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0.9127028
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0.9052894
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0.90174055
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0.8961661
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