Multiple Existence Results for the Self-Dual Chern–Simons–Higgs Vortex Equation

DOI10.1080/03605300903296280zbMath1185.35274OpenAlexW2060561848MaRDI QIDQ3653281

Kwangseok Choe

Publication date: 22 December 2009

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300903296280

zbMATH Keywords

Chern-Simons-Higgs modelAsymptotic behaviorcondensate solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Nonlinear elliptic equations (35J60)

Related Items (12)

Self-dual radial non-topological solutions to a competitive Chern-Simons model ⋮ New type of nontopological bubbling solutions in the \(\operatorname{SU}(3)\) Chern-Simons model in \(\mathbb{R}^2\) ⋮ Nonexistence results of semilinear elliptic equations coupled with the Chern-Simons gauge field ⋮ The existence and asymptotics of solutions for the abelian Chern-Simons system with two Higgs fields and two gauge fields ⋮ Existence of self-dual non-topological solutions in the Chern-Simons Higgs model ⋮ On the entire radial solutions of the Chern-Simons SU(3) system ⋮ Analytical issues in the construction of self-dual Chern-Simons vortices ⋮ The domain geometry and the bubbling phenomenon of rank two gauge theory ⋮ Existence of mixed type solutions in the SU(3) Chern-Simons theory in \(\mathbb {R}^2\) ⋮ Self-dual symmetric nontopological solutions in the \(\mathrm{SU}(3)\) model in \(\mathbb R^2\) ⋮ Uniqueness of topological multi-vortex solutions for a skew-symmetric Chern-Simons system ⋮ Uniqueness of topological solutions of self-dual Chern-Simons equation with collapsing vortices

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