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A multiplicity result for singular NLS equations with magnetic potentials

Article ID Journal Published Year Pages File Type
844137 Nonlinear Analysis: Theory, Methods & Applications 2008 16 Pages PDF
Abstract

In this paper, we obtain multiple solutions u:RN→Cu:RN→C of the singular nonlinear Schrödinger equation with an external electromagnetic field equation(1)(ħi∇−A(x))2u+(V(x)−ε(ħ)W(x))u=|u|p−2ux∈RN, where N≥2N≥2, 2

Keywords
35Q5535J2035J10Semiclassical limitExternal magnetic fieldSingular potentials
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
A multiplicity result for singular NLS equations with magnetic potentials
Authors
Sara Barile,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
Related Categories
35Q55
35J20
35J10
Semiclassical limit
External magnetic field
Singular potentials
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