Mountain-pass type solution for planar Schrödinger-Poisson systems with critical exponential growth

DOI10.1016/j.aml.2023.108865zbMath1529.35196OpenAlexW4386935908MaRDI QIDQ6066892

Xiaoping Wang, Fu-Lai Chen, Fang-Fang Liao

Publication date: 16 November 2023

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

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108865

zbMATH Keywords

planar Schrödinger-Poisson systemexistence of an axially symmetric solution

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

Cites Work

• On the planar Schrödinger-Poisson system
• The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
• Solutions of Hartree-Fock equations for Coulomb systems
• Planar Schrödinger-Poisson system with critical exponential growth in the zero mass case
• Axially symmetric solutions for the planar Schrödinger-Poisson system with critical exponential growth
• Ground state solutions for Schrödinger-Poisson system with critical exponential growth in \(\mathbb{R}^2\)
• On the planar Schrödinger-Poisson system with the axially symmetric potential