On condensate of solutions for the Chern-Simons-Higgs equation
type: Item
instance of: scholarly article
title: On condensate of solutions for the Chern-Simons-Higgs equation
zbMATH Open document ID: 1387.35512
author: Chang-Shou Lin
author: Shusen Yan
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2017-12-08T00:00:00Z
review text: The purpose of this paper is to study the structure of doubly periodic solutions for the Chern-Simons-Higgs equation with a small coupling constant. First, the Dirac measure is eliminated by Greens function to obtain the related equation. The following problems are solved: {\parindent=0.7cm \begin{itemize}\item[1.] Do the MF type blow-up point and the CS type blow-up point co-exist in a sequence of bubbling solutions? \item[2.] What are the necessary and sufficient conditions for the set \({q_1, \ldots , q_k}\) to be a blow-up set of a sequence of bubbling solutions? \end{itemize}} The proofs use the maximum principle and the Pohozaev identity.
reviewed by: Thomas Ernst
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35B50
zbMATH DE Number: 6816530
zbMATH Keywords: condensate
zbMATH Keywords: Chern-Simons-Higgs equation
zbMATH Keywords: bubbling phenomena
zbMATH Keywords: Pohozaev identity
zbMATH Keywords: uniqueness
MaRDI profile type: Publication
full work available at URL: j.anihpc.2016.10.006
OpenAlex ID: W2543637670
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DOI: 10.1016/J.ANIHPC.2016.10.006
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description: scientific article; zbMATH DE number 6816530