Bubbling solutions for the Chern-Simons gauged \(O(3)\) sigma model on a torus
type: Item
instance of: scholarly article
title: Bubbling solutions for the Chern-Simons gauged \(O(3)\) sigma model on a torus
zbMATH Open document ID: 1327.35103
author: Kwangseok Choe
author: Jongmin Han
author: Youngae Lee
author: Chang-Shou Lin
published in: Calculus of Variations and Partial Differential Equations
publication date: 2015-10-14T00:00:00Z
review text: The authors are concerned with the nonlinear partial differential equation \[ \Delta u+\frac{f_\tau(u)}{\varepsilon^2}=4\pi \sum_{j=1}^{d_1}m_{j,1}\delta_{q_j,1}-4\pi \sum_{j=1}^{d_2}m_{j,2}\delta_{q_j,2}, \] where \(u\) is subject to doubly periodic boundary condition, \(\varepsilon=\sqrt{8/\kappa^2}\) and \(f_\tau(u)=e^u(1-e^u)(\tau+e^u)^{-3}\). The authors study the stability, asymptotic behavior and the existence of multiple nontopological periodic solutions for sufficiently small \(\varepsilon>0\). Bubbling solutions which exhibit concentration phenomena at one point of the domain are also investigated.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 6494030
zbMATH Keywords: Chern-Simons gauged \(O(3)\)
zbMATH Keywords: bubbling solutions
MaRDI profile type: Publication
full work available at URL: s00526-015-0825-2
OpenAlex ID: W206205363
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DOI: 10.1007/S00526-015-0825-2
description: scientific article; zbMATH DE number 6494030