Solutions of the Schrödinger-Poisson problem concentrating on spheres. I: Necessary conditions. (English) Zbl 1173.35687


35Q55 NLS equations (nonlinear Schrödinger equations)
35B40 Asymptotic behavior of solutions to PDEs
35J60 Nonlinear elliptic equations
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
58J05 Elliptic equations on manifolds, general theory
35A15 Variational methods applied to PDEs
Full Text: DOI


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