A remark on Chern-Simons-Schrödinger equations with Hartree type nonlinearity

DOI10.23952/jnva.7.2023.3.06OpenAlexW4384567379MaRDI QIDQ6085617

Dengfeng Lü, Shu-Wei Dai

Publication date: 12 December 2023

Published in: Journal of Nonlinear and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.23952/jnva.7.2023.3.06

zbMATH Keywords

asymptotic behaviorvariational methodsground state solutionHartree-type nonlinearityChern-Simons-Schrödinger equation

Mathematics Subject Classification ID

Operator theory (47-XX) Functional analysis (46-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Standing waves of nonlinear Schrödinger equations with the gauge field
• Chern-Simons limit of the standing wave solutions for the Schrödinger equations coupled with a neutral scalar field
• A variational analysis of a gauged nonlinear Schrödinger equation
• Existence of semiclassical ground state solutions for a generalized Choquard equation
• Classification of positive solitary solutions of the nonlinear Choquard equation
• Multiple normalized solutions of Chern-Simons-Schrödinger system
• A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity
• Existence of solitary waves in higher dimensions
• Existence and multiplicity of solutions for asymptotically 3-linear Chern-Simons-Schrödinger systems
• Sign-changing solutions to a gauged nonlinear Schrödinger equation
• Standing waves for a Schrödinger-Chern-Simons-Higgs system
• Existence, nonexistence and multiplicity results of a Chern-Simons-Schrödinger system
• Semiclassical analysis for pseudo-relativistic Hartree equations
• Existence of groundstates for a class of nonlinear Choquard equations in the plane
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Standing waves of the Schrödinger equation coupled with the Chern-Simons gauge field
• Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
• The Choquard equation and related questions
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
• Existence and concentration of solutions for singularly perturbed doubly nonlocal elliptic equations
• Existence of groundstates for a class of nonlinear Choquard equations

This page was built for publication: A remark on Chern-Simons-Schrödinger equations with Hartree type nonlinearity