Nonself-dual Chern--Simons and Maxwell--Chern--Simons vortices on bounded domains

DOI10.1016/j.jfa.2004.09.012zbMath1080.35104OpenAlexW2016604795MaRDI QIDQ1772695

Namkwon Kim, Jongmin Han

Publication date: 21 April 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.09.012

zbMATH Keywords

asymptotic behavior of solutionsChern-Simons limitAbelian-Higgs modelMaxwell limitnonself-dual Chern-Simons-Higgs modelnonself-dual Maxwell-Chern-Simons-Higgs model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40)

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Multi-peak solutions to the Schrödinger equations coupled with a neutral scalar field ⋮ Periodic Maxwell-Chern-Simons vortices with concentrating property ⋮ Stability for radial solutions of equations of the Chern-Simons-Higgs type ⋮ Local and global solutions of the Chern-Simons-Higgs system ⋮ Standing wave solutions to the Maxwell-Chern-Simons-Schrödinger equations ⋮ Nonexistence results of semilinear elliptic equations coupled with the Chern-Simons gauge field ⋮ SCALING LIMITS OF THE CHERN–SIMONS–HIGGS ENERGY ⋮ Boundedness for solutions of equations of the Chern-Simons-Higgs type ⋮ Unnamed Item ⋮ Gamma limit of the nonself-dual Chern-Simons-Higgs energy ⋮ On the Chern-Simons-Higgs vortex equation without gauge fields ⋮ Analysis of nematic liquid crystals with disclination lines ⋮ Minimizers near the first critical field for the nonself-dual Chern-Simons-Higgs energy ⋮ Multi-bubbling condensates for the Maxwell-Chern-Simons model ⋮ On Some Elliptic Problems in the Study of Selfdual Chern-Simons Vortices

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