Semi-classical solutions for Schrödinger-Poisson equations with a critical frequency

DOI10.1016/j.jde.2018.04.023zbMath1392.35098OpenAlexW2800173247MaRDI QIDQ1753211

Xu Zhang, Jiankang Xia

Publication date: 28 May 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.04.023

zbMATH Keywords

multiplicity of solutionsSchrödinger-Poisson systemleast energy solution

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Related Items (9)

Existence and concentration of solution for Schrödinger-Poisson system with local potential ⋮ Localized nodal solutions of higher topological type for nonlinear Schrödinger-Poisson system ⋮ Semiclassical states for coupled nonlinear Schrödinger equations with critical frequency ⋮ Existence and concentration of ground state solutions for doubly critical Schrödinger-Poisson-type systems ⋮ Existence and uniqueness of multi-bump solutions for nonlinear Schrödinger-Poisson systems ⋮ Multiplicity of semiclassical states for Schrödinger-Poisson systems with critical frequency ⋮ Ground state solution for a class of Schrödinger-Poisson-type systems with partial potential ⋮ Existence of solutions to the logarithmic Choquard equations in high dimensions ⋮ Semiclassical solutions for Choquard equations with Berestycki-Lions type conditions

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