Existence, uniqueness and multiplicity of positive solutions for Schrödinger-Poisson system with singularity
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Publication:5962552
DOI10.1016/J.JMAA.2015.12.061zbMath1334.35048OpenAlexW2223565986MaRDI QIDQ5962552
Publication date: 12 February 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.12.061
Variational methods for elliptic systems (35J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)
Related Items (27)
On a Schrödinger-Poisson system with singularity and critical nonlinearities ⋮ Existence and uniqueness of positive solution for \(p\)-Laplacian Kirchhoff-Schrödinger-type equation ⋮ On a fractional Schrödinger-Poisson system with strong singularity ⋮ GROUND STATE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SCHRÖDINGER-POISSON-KIRCHHOFF TYPEPROBLEMS WITH A CRITICAL NONLINEARITY IN ℝ 3 ⋮ Existence and multiplicity of nontrivial solutions for Schrödinger-Poisson systems on bounded domains ⋮ Existence and multiplicity of positive solutions for Schrödinger-Kirchhoff-Poisson system with singularity ⋮ An elliptic system with singular nonlinearities: Existence via non variational arguments ⋮ Multiple positive solutions for Kirchhoff-Schrödinger-Poisson system with general singularity ⋮ An existence result for singular nonlocal fractional Kirchhoff–Schrödinger–Poisson system ⋮ Multiple and asymptotical behavior of solutions to a Choquard equation with singularity ⋮ Uniqueness and asymptotical behavior of solutions to a Choquard equation with singularity ⋮ Ground state solution for a Schrödinger-Poisson equation with critical growth ⋮ Existence and concentration of ground state solutions for a Schrödinger-Poisson-type system with steep potential well ⋮ Solution for a generalized Schrödinger-Poisson system involving both singular and general nonlinearities ⋮ Existence of positive solution to Kirchhoff-Schrödinger-Poisson system with strong singular term ⋮ FRACTIONAL SCHRÖDINGER–POISSON SYSTEM WITH SINGULARITY: EXISTENCE, UNIQUENESS, AND ASYMPTOTIC BEHAVIOR ⋮ Sufficient and necessary conditions for ground state sign-changing solutions to the Schrödinger-Poisson system with cubic nonlinearity on bounded domains ⋮ Existence of solutions for the Schrödinger-Kirchhoff-Poisson systems with a critical nonlinearity ⋮ Ground state and nodal solutions for a Schrödinger-Poisson equation with critical growth ⋮ Existence of Optimal Control for a Class of Kirchhoff–Poisson System ⋮ Multiple positive solutions for Schrödinger-Poisson system with singularity on the Heisenberg group ⋮ The Brezis-Nirenberg type double critical problem for a class of Schrödinger-Poisson equations ⋮ Positive solutions for a Schrödinger-Poisson system with singularity and critical exponent ⋮ Multiple positive solutions for a kind of singular Schrödinger–Poisson system ⋮ Existence of nontrivial solutions for Schrödinger-Poisson systems with critical exponent on bounded domains ⋮ Least energy sign-changing solutions for a class of Schrödinger–Poisson system on bounded domains ⋮ Existence of positive ground state solutions of Schrödinger-Poisson system involving negative nonlocal term and critical exponent on bounded domain
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