A Note on the Existence of a Positive Solution for a Non-autonomous Schrödinger–Poisson System

DOI10.1007/978-3-319-04214-5_16zbMath1319.35035OpenAlexW182756306MaRDI QIDQ5261443

Marcelo F. Furtado, Everaldo S. Medeiros, Liliane A. Maia

Publication date: 3 July 2015

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-04214-5_16

zbMATH Keywords

variational methodsground state solutionSchrödinger-Poisson system

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)

Related Items (8)

Positive and nodal solutions for a nonlinear Schrödinger-Poisson system with sign-changing potentials ⋮ Positive and nodal ground state solutions for a critical Schrödinger-Poisson system with indefinite potentials ⋮ Existence of positive ground state solution for the nonlinear Schrödinger-Poisson system with potentials ⋮ Unnamed Item ⋮ Multiplicity of semiclassical states for Schrödinger-Poisson systems with critical frequency ⋮ Infinitely many positive solutions for Schrödinger-Poisson systems with nonsymmetry potentials ⋮ Ground state solutions for Kirchhoff-Schrödinger-Poisson system with sign-changing potentials ⋮ Bound and ground states for a class of Schrödinger-Poisson systems

Cites Work

• Ground states for Schrödinger-Poisson type systems
• Nonlinear scalar field equations. I: Existence of a ground state
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• Ground state solutions for the nonlinear Schrödinger-Maxwell equations
• Positive solutions of some nonlinear elliptic problems in exterior domains
• An eigenvalue problem for the Schrödinger-Maxwell equations
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Positive solutions for some non-autonomous Schrödinger-Poisson systems
• Positive and Nodal Solutions For a Nonlinear Schrödinger Equation with Indefinite Potential
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM

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