Asymptotics for Maxwell-Chern-Simons multivortices

DOI10.1016/S0362-546X(01)00752-0zbMath1079.58504WikidataQ126267807 ScholiaQ126267807MaRDI QIDQ1612624

Tonia Ricciardi

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Yang-Mills and other gauge theories in quantum field theory (81T13) Statistical mechanics of superconductors (82D55) PDEs in connection with quantum mechanics (35Q40) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (11)

Multi-peak solutions to the Schrödinger equations coupled with a neutral scalar field ⋮ Periodic Maxwell-Chern-Simons vortices with concentrating property ⋮ On the asymptotic behavior of solutions for the self-dual Maxwell-Chern-Simons \(O(3)\) sigma model ⋮ Standing wave solutions to the Maxwell-Chern-Simons-Schrödinger equations ⋮ Chern-Simons limit of the standing wave solutions for the Schrödinger equations coupled with a neutral scalar field ⋮ Nontopological bare solutions in the relativistic self-dual Maxwell–Chern–Simons–Higgs model ⋮ Nonself-dual Chern--Simons and Maxwell--Chern--Simons vortices on bounded domains ⋮ Uniqueness of topological multivortex solutions in the Maxwell-Chern-Simons model ⋮ On the Chern-Simons limit for a Maxwell-Chern-Simons model on bounded domains ⋮ Multi-bubbling condensates for the Maxwell-Chern-Simons model ⋮ On Some Elliptic Problems in the Study of Selfdual Chern-Simons Vortices

Cites Work

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• Topological multivortex solutions of the self-dual Maxwell-Chern-Simons-Higgs system
• 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
• An analysis of the two-vortex case in the Chern-Simons Higgs model
• Vortex condensation in the Chern-Simons Higgs model: An existence theorem
• Vortices in the Maxwell‐Chern‐Simons theory
• Self-dual Chern-Simons vortices
• Multivortex solutions of the Abelian Chern-Simons-Higgs theory
• Self-Dual Chern-Simons Theories
• Multiple condensate solutions for the Chern–Simons–Higgs theory
• The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory

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