Gamma limit of the nonself-dual Chern-Simons-Higgs energy

DOI10.1016/j.jfa.2008.04.020zbMath1158.81025OpenAlexW2027435653MaRDI QIDQ941419

Matthias W. Kurzke, Daniel P. Spirn

Publication date: 1 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.04.020

zbMATH Keywords

vorticesGamma convergencecritical fieldChern-Simons-Higgs theoryJacobian compactness

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Methods involving semicontinuity and convergence; relaxation (49J45) Yang-Mills and other gauge theories in quantum field theory (81T13) Variational methods for second-order elliptic equations (35J20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

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Stability for radial solutions of equations of the Chern-Simons-Higgs type ⋮ Gamma convergence of Maxwell-Chern-Simons-Higgs energy ⋮ A classical \(\mathbb{S}^2\) spin system with discrete out-of-plane anisotropy: variational analysis at surface and vortex scalings ⋮ Boundedness for solutions of equations of the Chern-Simons-Higgs type ⋮ Unnamed Item ⋮ A model problem for nematic-isotropic transitions with highly disparate elastic constants ⋮ On the Chern-Simons-Higgs vortex equation without gauge fields ⋮ Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy ⋮ Analysis of nematic liquid crystals with disclination lines ⋮ Symmetric Chern-Simons-Higgs vortices ⋮ Minimizers near the first critical field for the nonself-dual Chern-Simons-Higgs energy

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