Periodic Maxwell-Chern-Simons vortices with concentrating property

DOI10.1007/s00208-020-02057-7OpenAlexW3047817319MaRDI QIDQ832508

Weiwei Ao, Youngae Lee, Oh Sang Kwon

Publication date: 25 March 2022

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03559

zbMATH Keywords

superconductivityfractional quantum Hall effectAbelian-Higgs modelcharged vorticesChern-Simons (CS) modelMaxwell-Chern-Simons (MCS) model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Fractional derivatives and integrals (26A33) Statistical mechanics of superconductors (82D55) PDEs in connection with quantum mechanics (35Q40) Constructive quantum field theory (81T08) Many-body theory; quantum Hall effect (81V70) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11) Ginzburg-Landau equations (35Q56)

Related Items

Existence of nontopological solutions for the generalized Maxwell-Chern-Simons-Higgs model ⋮ Topological multi-vortex solutions of the Maxwell-Chern-Simons-Higgs model with a background metric ⋮ Multi-bubbling condensates for the Maxwell-Chern-Simons model

Cites Work

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• Mixed type solutions of the \(\mathrm{SU}(3)\) models on a torus
• Topological multivortex solutions of the self-dual Maxwell-Chern-Simons-Higgs system
• The existence of Chern-Simons vortices
• Selfdual Maxwell-Chern-Simons vortices
• Bubbling solutions for relativistic Abelian Chern-Simons model on a torus
• Arbitrary N-vortex solutions to the first order Ginzburg-Landau equations
• A boundary value problem related to the Ginzburg-Landau model
• The existence of non-topological solitons in the self-dual Chern-Simons theory
• Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere
• On a sharp Sobolev-type inequality on two-dimensional compact manifolds
• Double vortex condensates in the Chern-Simons-Higgs theory
• Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
• An analysis of the two-vortex case in the Chern-Simons Higgs model
• Self-dual Chern--Simons vortices on bounded domains
• Topological solutions in the self-dual Chern-Simons-Higgs theory in a background metric
• Linear and nonlinear aspects of vortices. The Ginzburg-Landau model
• Asymptotics for Maxwell-Chern-Simons multivortices
• Nonself-dual Chern--Simons and Maxwell--Chern--Simons vortices on bounded domains
• Existence of non-topological solutions for a nonlinear elliptic equation arising from Chern-Simons-Higgs theory in a general background metric
• Liouville type equations with singular data and their applications to periodic multivortices for the electroweak theory
• Solitons of the self-dual Chern-Simons theory on a cylinder
• Non-topological multi-vortex solutions to the self-dual Chern-Simons-Higgs equation
• Vortex condensation in the Chern-Simons Higgs model: An existence theorem
• Topological solutions in the self-dual Chern-Simons theory: Existence and approximation
• Existence of bubbling solutions without mass concentration
• Blow-up solutions of the self-dual Chern-Simons-Higgs vortex equation
• Existence of multivortex solutions in the self-dual Chern–Simons–Higgs theory in a background metric
• Bubbling Solutions for the SU(3) Chern-Simons Model on a Torus
• Uniqueness of the topological multivortex solution in the self-dual Chern–Simons theory
• Global existence in the Cauchy problem of the relativistic Chern-Simons-Higgs theory
• Profile of Blow-up Solutions to Mean Field Equations with Singular Data
• Asymptotic behavior of condensate solutions in the Chern-Simons-Higgs theory
• Integrability of Chern–Simons–Higgs and Abelian Higgs vortex equations in a background metric
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Abrikosov’s Vortices in the Critical Coupling
• A nonlinear elliptic equation arising from gauge field theory and cosmology
• Asymptotic limit for condensate solutions in the Abelian Chern-Simons Higgs model II
• Vortices in the Maxwell‐Chern‐Simons theory
• Self-dual Chern-Simons vortices
• Multivortex solutions of the Abelian Chern-Simons-Higgs theory
• Asymptotic limit for condensate solutions in the Abelian Chern-Simons Higgs model
• Self-dual Chern–Simons vortices on Riemann surfaces
• The global existence in the Cauchy problem of the Maxwell–Chern–Simons–Higgs system
• Self-Dual Chern-Simons Theories
• Nontopological Condensates for the Self‐Dual Chern‐Simons‐Higgs Model
• Multiple condensate solutions for the Chern–Simons–Higgs theory
• Ginzburg-Landau vortices
• Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6th order potentials
• The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory