Existence and concentration behavior of ground state solutions for magnetic nonlinear Choquard equations

DOI10.3934/cpaa.2016014zbMath1351.35185OpenAlexW2467501727MaRDI QIDQ324045

Dengfeng Lü

Publication date: 10 October 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016014

zbMATH Keywords

magnetic fieldvariational methodpotential wellground state solutionnonlinear Choquard equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70)

Related Items (6)

Existence and concentration behavior of ground states for a generalized quasilinear Choquard equation involving steep potential well ⋮ A critical fractional Choquard–Kirchhoff problem with magnetic field ⋮ On concentration of least energy solutions for magnetic critical Choquard equations ⋮ Necessary and sufficient condition for the existence of positive solutions of a coupled system for reaction-diffusion equations ⋮ Existence and asymptotical behavior of solutions for a quasilinear Choquard equation with singularity ⋮ Critical Growth Elliptic Problems with Choquard Type Nonlinearity: A Survey

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