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SOLUTIONS OF THE SCHRÖDINGER–POISSON PROBLEM CONCENTRATING ON SPHERES, PART I: NECESSARY CONDITIONS

    https://doi.org/10.1142/S0218202509003589Cited by:35 (Source: Crossref)

    In this paper we study a coupled nonlinear Schrödinger–Poisson 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.

    AMSC: 35B40, 35J60, 35Q55, 58E05

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