CONCENTRATION ON CIRCLES FOR NONLINEAR SCHRÖDINGER–POISSON SYSTEMS WITH UNBOUNDED POTENTIALS VANISHING AT INFINITY

DOI10.1142/S0219199712500095zbMath1250.35077arXiv1009.2595MaRDI QIDQ5388166

Denis Bonheure, Jonathan Di Cosmo, Carlo Mercuri

Publication date: 18 April 2012

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2595

zbMATH Keywords

weighted Sobolev spacesdegenerate potentialsstationary nonlinear Schrödinger-Poisson system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)

Related Items (7)

Nodal solutions of an NLS equation concentrating on lower dimensional spheres ⋮ Positive solutions for double singularly perturbed Schrödinger Maxwell systems ⋮ Existence of multiple solutions for modified Schrödinger-Kirchhoff-Poisson type systems via perturbation method with sign-changing potential ⋮ On a class of nonlinear Schrödinger-Poisson systems involving a nonradial charge density ⋮ Concentration phenomena at saddle points of potential for Schrödinger-Poisson systems ⋮ Groundstates and infinitely many high energy solutions to a class of nonlinear Schrödinger-Poisson systems ⋮ Quasilinear Schrödinger-Poisson equations involving a nonlocal term and an integral constraint

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