Solutions for a class of Schrödinger-Poisson system in bounded domains

DOI10.1007/s12190-015-0905-7zbMath1342.35094OpenAlexW836245036MaRDI QIDQ295464

Zhen Ba, Xiao-Ming He

Publication date: 13 June 2016

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-015-0905-7

zbMATH Keywords

Nehari manifoldground state solutionSchrödinger-Poisson system

Mathematics Subject Classification ID

Second-order elliptic systems (35J47)

Related Items (5)

Existence and asymptotical behavior of positive solutions for the Schrödinger-Poisson system with double quasi-linear terms ⋮ Existence and multiplicity of nontrivial solutions for Schrödinger-Poisson systems on bounded domains ⋮ Sufficient and necessary conditions for ground state sign-changing solutions to the Schrödinger-Poisson system with cubic nonlinearity on bounded domains ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple positive solutions for a Schrödinger-Poisson-Slater system
• On the existence of a solution for elliptic system related to the Maxwell-Schrödinger equations
• Ground state solutions for the nonlinear Schrödinger-Maxwell equations
• On the existence of solutions for the Schrödinger-Poisson equations
• On Schrödinger-Poisson systems
• Ljusternik-Schnirelmann theory on \(C^ 1\)-manifolds
• An eigenvalue problem for the Schrödinger-Maxwell equations
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• The Schrödinger-Poisson-\(X\alpha\) equation
• Long-time dynamics of the Schrödinger-Poisson-Slater system
• Minimax theorems
• Multiplicity and concentration of positive solutions for the Schrödinger-Poisson equations
• Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains
• Note on a Schrödinger-Poisson system in a bounded domain
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Positive solutions for some non-autonomous Schrödinger-Poisson systems
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
• On Concentration of Positive Bound States for the Schrödinger-Poisson Problem with Potentials
• ON NODAL SOLUTIONS OF THE NONLINEAR SCHRÖDINGER–POISSON EQUATIONS
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• Multi-bump solutions for the nonlinear Schrödinger-Poisson system
• Ground state solution of a nonlocal boundary-value problem

This page was built for publication: Solutions for a class of Schrödinger-Poisson system in bounded domains