Bound and ground states for a class of Schrödinger-Poisson systems

DOI10.1186/s13661-019-1238-5zbMath1503.35081OpenAlexW2957531472MaRDI QIDQ2108346

Fubao Zhang, Li Cai

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1238-5

zbMATH Keywords

variational methodbound stateSchrödinger-Poisson systemlack of compactnessthree times growth

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Second-order elliptic systems (35J47) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (1)

Semiclassical states for Schrödinger-Poisson system with Hartree-type nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of positive solutions for a discrete fractional boundary value problem
• Bound state solutions of Schrödinger-Poisson system with critical exponent
• Schrödinger-Poisson equations without Ambrosetti-Rabinowitz condition
• On ground state solutions for some non-autonomous Schrödinger-Poisson systems
• Ground state solutions for the nonlinear Schrödinger-Maxwell equations
• On the existence of solutions for the Schrödinger-Poisson equations
• On Schrödinger-Poisson systems
• An eigenvalue problem for the Schrödinger-Maxwell equations
• The effect of concentrating potentials in some singularly perturbed problems
• Multiple solutions for a quasilinear Schrödinger equation
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Positive solutions for some non-autonomous Schrödinger-Poisson systems
• Positive bound state solutions for some Schrödinger–Poisson systems
• Existence of positive solutions to Schrödinger–Poisson type systems with critical exponent
• INFINITELY MANY POSITIVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER–POISSON SYSTEM
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• A Note on the Existence of a Positive Solution for a Non-autonomous Schrödinger–Poisson System
• On Bound States Concentrating on Spheres for the Maxwell--Schrödinger Equation

This page was built for publication: Bound and ground states for a class of Schrödinger-Poisson systems