INFINITELY MANY BOUND STATE SOLUTIONS OF SCHRÖDINGER-POISSON EQUATIONS IN R<sup>3</sup>
DOI10.11948/2018.1239zbMath1459.35116OpenAlexW2886477430MaRDI QIDQ5148016
Qinlin Xie, Shiwang Ma, Xu Zhang
Publication date: 29 January 2021
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11948/2018.1239
Variational methods applied to PDEs (35A15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Second-order elliptic systems (35J47)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
- Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
- Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential
- Schrödinger-Poisson system with steep potential well
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- On Schrödinger-Poisson systems
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Concentration estimates and multiple solutions to elliptic problems at critical growth
- Infinitely many bound states for some nonlinear scalar field equations
- Infinite dimensional Morse theory and multiple solution problems
- Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\)
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Positive solutions for some non-autonomous Schrödinger-Poisson systems
- INFINITELY MANY POSITIVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER–POISSON SYSTEM
- MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
- SOLUTIONS OF THE SCHRÖDINGER–POISSON PROBLEM CONCENTRATING ON SPHERES, PART I: NECESSARY CONDITIONS
- SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
- SEMICLASSICAL STATES FOR COUPLED SCHRÖDINGER–MAXWELL EQUATIONS: CONCENTRATION AROUND A SPHERE
- Existence of multi-bump solutions for a semilinear Schrödinger–Poisson system
- Multi-bump solutions for the nonlinear Schrödinger-Poisson system
- SOLUTIONS OF THE SCHRÖDINGER–POISSON PROBLEM CONCENTRATING ON SPHERES, PART II: EXISTENCE
- On Bound States Concentrating on Spheres for the Maxwell--Schrödinger Equation
- Multiple Solitary Waves For a Non-homogeneous Schrödinger–Maxwell System in ℝ3
- Infinitely many positive solutions for a Schrödinger-Poisson system
This page was built for publication: INFINITELY MANY BOUND STATE SOLUTIONS OF SCHRÖDINGER-POISSON EQUATIONS IN R<sup>3</sup>