On Non-topological Solutions of the 𝐴₂ and 𝐵₂ Chern-Simons System

DOI10.1090/memo/1132zbMath1330.35123arXiv1403.2348OpenAlexW4231927790MaRDI QIDQ3455227

Weiwei Ao, Chang-Shou Lin, Wei, Juncheng

Publication date: 4 December 2015

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2348

zbMATH Keywords

Toda systemChern-Simons systemnon-topological solutions

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Nonlinear elliptic equations (35J60) Perturbations of PDEs on manifolds; asymptotics (58J37) Second-order elliptic systems (35J47)

Related Items (11)

Existence of mixed type solutions in the Chern-Simons gauge theory of rank two in \(\mathbb{R}^2\) ⋮ Classification of solutions to Toda systems of types \(C\) and \(B\) with singular sources ⋮ Self-dual radial non-topological solutions to a competitive Chern-Simons model ⋮ Bubbling solutions of mixed type for a general non-abelian Chern-Simons-Higgs system of rank 2 over a torus ⋮ Analytical issues in the construction of self-dual Chern-Simons vortices ⋮ On the mean field type bubbling solutions for Chern-Simons-Higgs equation ⋮ Local profile of fully bubbling solutions to \(\mathrm {SU} (n+1)\) Toda systems ⋮ On the family of non-topological solutions for the elliptic system arising from a product abelian gauge field theory ⋮ Multiple solutions for the non-abelian Chern-Simons-Higgs vortex equations ⋮ Existence of radial mixed type solutions in Chern-Simons theories of rank 2 in \(\mathbb{R}^2\) ⋮ Blow up at infinity in the SU(3) Chern-Simons model, part I

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