Positive solutions for a planar Schrödinger-Poisson system with prescribed mass

DOI10.1016/j.aml.2022.108488zbMath1506.35071OpenAlexW4308112246MaRDI QIDQ2106128

Mengfei Tao, Binlin Zhang

Publication date: 8 December 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108488

zbMATH Keywords

existence of positive solutionsfixed point theoremSchrödinger-Poisson system

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)

Related Items (1)

On the Schrödinger-Poisson system with \((p,q)\)-Laplacian

Cites Work

• The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate
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• Elliptic problems with lack of compactness via a new fixed point theorem
• Energy Solution to a Schrödinger–Poisson System in the Two-Dimensional Whole Space
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Normalized Solutions for Lower Critical Choquard Equations with Critical Sobolev Perturbation
• Stationary Waves with Prescribed $L^2$-Norm for the Planar Schrödinger--Poisson System
• Ground states and high energy solutions of the planar Schrödinger–Poisson system

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