On the solutions to a Liouville-type system involving singularity

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Title:	On the solutions to a Liouville-type system involving singularity
Authors:	陳建隆;Chen, Zhi-You;Chern, Jann-Long;Tang, Yong-Li
Contributors:	光電科學研究中心
Keywords:	Analysis;Calculus of variations;Calculus of Variations and Optimal Control;Optimization;Control;Curvature;Dirichlet problem;Mathematical analysis;Mathematical and Computational Physics;Mathematical problems;Mathematics;Mathematics and Statistics;Partial differential equations;Physics;Planes;Singularities;Systems Theory;Theoretical;Uniqueness
Date:	2012-01-01
Issue Date:	2026-04-23 11:21:59 (UTC+8)
Publisher:	Springer New York;Berlin/Heidelberg: Springer-Verlag
Abstract:	摘要： In this paper, we consider a Liouville-type system with singularity in the plane. The existence and uniqueness of solutions to the Dirichlet problem are proved. In addition, the structure of solutions in terms of analogues of the so-called total curvature in geometry or total mass in physics will be offered as well. 其他題名： Calc. Var 出版者： Berlin/Heidelberg: Springer-Verlag 出版日期： 2012-01 出處： Calculus of variations and partial differential equations, 2012-01, Vol.43 (1-2), p.57-81 資源來源： SpringerLink Journals 版權： Springer-Verlag 2011 版權： Springer-Verlag 2012 識別號： ISSN: 0944-2669 識別號： ISSN: 1432-0835 識別號： EISSN: 1432-0835 識別號： DOI: 10.1007/s00526-011-0403-1
Appears in Collections:	[Optical Sciences Center] journal & Dissertation

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