Vortex-type solutions for magnetic pseudo-relativistic Hartree equation

DOI10.1080/00036811.2020.1769078zbMath1491.35364OpenAlexW3028512650MaRDI QIDQ3389521

Qian Gao, Guoqing Zhang

Publication date: 23 March 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1769078

zbMATH Keywords

asymptotic estimatespseudo-relativistic Hartree equationvortex-type solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

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• Multiple solutions to a magnetic nonlinear Choquard equation
• Existence of ground states for nonlinear, pseudo-relativistic Schrödinger equations
• The principle of symmetric criticality
• Uniqueness of ground states for pseudorelativistic Hartree equations
• The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
• Positive and sign changing solutions to a nonlinear Choquard equation
• Semiclassical analysis for pseudo-relativistic Hartree equations
• Vortex-type solutions to a magnetic nonlinear Choquard equation
• Intertwining semiclassical bound states to a nonlinear magnetic Schrödinger equation
• Intertwining solutions for magnetic relativistic Hartree type equations
• Multiple Sign Changing Solutions of Nonlinear Elliptic Problems in Exterior Domains

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