On the Chern-Simons-Higgs vortex equation without gauge fields
type: Item
instance of: scholarly article
title: On the Chern-Simons-Higgs vortex equation without gauge fields
zbMATH Open document ID: 1155.35473
author: Jongmin Han
author: Jaeduck Jang
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2008-10-21T00:00:00Z
Mathematics Subject Classification ID: 35Q75
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 81T13
zbMATH DE Number: 5355041
zbMATH Keywords: Abelian Chern-Simons-Higgs models
zbMATH Keywords: radial solutions
zbMATH Keywords: shooting method
MaRDI profile type: Publication
full work available at URL: j.na.2007.08.065
OpenAlex ID: W2030507642
cites work: Asymptotics for the minimization of a Ginzburg-Landau functional
cites work: Ginzburg-Landau vortices
cites work: Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon
cites work: Quantization effects for \(-\Delta u=u(1-| u|^ 2)\) in \(\mathbb{R}^ 2\)
cites work: Vortices for a variational problem related to superconductivity
cites work: The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory
cites work: Non-topological multi-vortex solutions to the self-dual Chern-Simons-Higgs equation
cites work: Shooting method for vortex solutions of a complex-valued Ginzburg–Landau equation
cites work: A nonlinear elliptic equation arising from gauge field theory and cosmology
cites work: Uniqueness of the topological multivortex solution in the self-dual Chern–Simons theory
cites work: Self-Dual Chern-Simons Theories
cites work: A qualitative study of the real solutions of an ordinary differential equation related to the Ginzburg-Landau equation
cites work: Nonself-dual Chern--Simons and Maxwell--Chern--Simons vortices on bounded domains
cites work: Multivortex solutions of the Abelian Chern-Simons-Higgs theory
cites work: Self-dual Chern-Simons vortices
cites work: Gamma limit of the nonself-dual Chern-Simons-Higgs energy
cites work: Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
cites work: The existence of non-topological solitons in the self-dual Chern-Simons theory
cites work: Topological solutions in the self-dual Chern-Simons theory: Existence and approximation
cites work: Selfdual Maxwell-Chern-Simons vortices
cites work: On the equivalence of the first and second order equations for gauge theories
cites work: Q2734533
cites work: The existence of Chern-Simons vortices
DOI: 10.1016/J.NA.2007.08.065
description: scientific article; zbMATH DE number 5355041