Existence and uniqueness of topological multivortex solutions of the self-dual Chern--Simons \(CP(1)\) model

DOI10.1016/j.na.2006.04.008zbMath1206.35100OpenAlexW1976971792MaRDI QIDQ876956

Kwangseok Choe, Hee-Seok Nam

Publication date: 19 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.na.2006.04.008

zbMATH Keywords

existenceuniquenessself-dual Chern--Simons \(CP(1)\) modeltopological multivortex solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Yang-Mills and other gauge theories in quantum field theory (81T13) Soliton equations (35Q51)

Related Items (13)

Topological solutions for the self-dual Chern-Simons $CP(1)$ model with large Chern-Simons coupling constant ⋮ Existence and asymptotics of topological solutions in the self-dual Maxwell-Chern-Simons \(O(3)\) sigma model ⋮ Uniqueness and solution structure of nonlinear equations arising from the Chern-Simons gauged \(O(3)\) sigma models ⋮ Bubbling solutions for the Chern-Simons gauged \(O(3)\) sigma model in \(\mathbb{R}^2\) ⋮ Existence of non-topological multi-string solutions for a gravitational $O(3)$ gauge field model ⋮ Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy ⋮ Bubbling solutions for the Chern-Simons gauged \(O(3)\) sigma model on a torus ⋮ Condensate solutions of the self-dual \(O\)(3) Maxwell-Chern-Simons-Higgs equations with symmetric vacua ⋮ The analysis of solutions for Maxwell-Chern-Simons \(O(3)\) sigma model ⋮ On Some Elliptic Problems in the Study of Selfdual Chern-Simons Vortices ⋮ Classification of solutions for self-dual Chern–Simons CP(1) model ⋮ Nontopological solutions in the self-dual Maxwell-Chern-Simons gauged \(O(3)\) sigma model ⋮ Asymptotic analysis of solutions to a gauged O(3) sigma model

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