The structure of radial solutions for elliptic equations arising from the spherical onsager vortex

Zhi You Chen; Jann Long Chern; Yong Li Tang

doi:10.2748/tmj/1245849449

The structure of radial solutions for elliptic equations arising from the spherical onsager vortex

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

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

In this paper, we consider a nonlinear elliptic equation on the plane away from the origin, which arises from the spherical Onsager vortex theory in physics or the problem of prescribing Gaussian curvature in geometry. Depending on various situations for the prescribed function in the nonlinear term, the complete structure of radial solutions in terms of initial data will be offered.

Original language	English
Pages (from-to)	287-307
Number of pages	21
Journal	Tohoku Mathematical Journal
Volume	61
Issue number	2
DOIs	https://doi.org/10.2748/tmj/1245849449
Publication status	Published - 2009 Jun
Externally published	Yes

Keywords

Elliptic equation
Spherical Onsager vortex
Structure of solutions

ASJC Scopus subject areas

General Mathematics

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10.2748/tmj/1245849449

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title = "The structure of radial solutions for elliptic equations arising from the spherical onsager vortex",

abstract = "In this paper, we consider a nonlinear elliptic equation on the plane away from the origin, which arises from the spherical Onsager vortex theory in physics or the problem of prescribing Gaussian curvature in geometry. Depending on various situations for the prescribed function in the nonlinear term, the complete structure of radial solutions in terms of initial data will be offered.",

keywords = "Elliptic equation, Spherical Onsager vortex, Structure of solutions",

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

year = "2009",

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AU - Chern, Jann Long

AU - Tang, Yong Li

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N2 - In this paper, we consider a nonlinear elliptic equation on the plane away from the origin, which arises from the spherical Onsager vortex theory in physics or the problem of prescribing Gaussian curvature in geometry. Depending on various situations for the prescribed function in the nonlinear term, the complete structure of radial solutions in terms of initial data will be offered.

AB - In this paper, we consider a nonlinear elliptic equation on the plane away from the origin, which arises from the spherical Onsager vortex theory in physics or the problem of prescribing Gaussian curvature in geometry. Depending on various situations for the prescribed function in the nonlinear term, the complete structure of radial solutions in terms of initial data will be offered.

KW - Elliptic equation

KW - Spherical Onsager vortex

KW - Structure of solutions

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The structure of radial solutions for elliptic equations arising from the spherical onsager vortex

Abstract

Keywords

ASJC Scopus subject areas

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