In this paper we study a coupled nonlinear SchrödingerPoisson problem with radial functions. This system has been introduced as a model describing standing waves for the nonlinear Schrödinger equations in the presence of the electrostatic field. We provide necessary conditions for concentration on sphere for the solutions of this kind of problem extending the results already known. © 2009 World Scientific Publishing Company.

Solutions of the schrödingerpoisson problem concentrating on spheres, part I: Necessary conditions

Vaira G.
2009-01-01

Abstract

In this paper we study a coupled nonlinear SchrödingerPoisson problem with radial functions. This system has been introduced as a model describing standing waves for the nonlinear Schrödinger equations in the presence of the electrostatic field. We provide necessary conditions for concentration on sphere for the solutions of this kind of problem extending the results already known. © 2009 World Scientific Publishing Company.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/348661
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