On the solutions to a Liouville-type system involving singularity

Zhi You Chen; Jann Long Chern; Yong Li Tang

doi:10.1007/s00526-011-0403-1

On the solutions to a Liouville-type system involving singularity

Zhi You Chen^*, Jann Long Chern, Yong Li Tang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	57-81
Number of pages	25
Journal	Calculus of Variations and Partial Differential Equations
Volume	43
Issue number	1-2
DOIs	https://doi.org/10.1007/s00526-011-0403-1
Publication status	Published - 2012 Jan
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s00526-011-0403-1

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title = "On the solutions to a Liouville-type system involving singularity",

abstract = "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.",

author = "Chen, {Zhi You} and Chern, {Jann Long} and Tang, {Yong Li}",

year = "2012",

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AU - Chern, Jann Long

AU - Tang, Yong Li

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AB - 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.

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AN - SCOPUS:81755186856

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JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

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On the solutions to a Liouville-type system involving singularity

Abstract

ASJC Scopus subject areas

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