In this paper we study a coupled nonlinear Schrodinger-Poisson problem with radial functions. This system has been introduced as a model describing standing waves for the nonlinear Schrodinger 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.
Solutions of the Schrodinger-Poisson problem concentrating on spheres, part I: necessary conditions / Ianni, I; Vaira, Giusi. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - 19:5(2009), pp. 707-720. [10.1142/S0218202509003589]
Solutions of the Schrodinger-Poisson problem concentrating on spheres, part I: necessary conditions
IANNI I;VAIRA GIUSI
2009
Abstract
In this paper we study a coupled nonlinear Schrodinger-Poisson problem with radial functions. This system has been introduced as a model describing standing waves for the nonlinear Schrodinger 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.| File | Dimensione | Formato | |
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