Open Access
2009 The structure of radial solutions for elliptic equations arising from the spherical Onsager vortex
Zhi-You Chen, Jann-Long Chern, Yong-Li Tang
Tohoku Math. J. (2) 61(2): 287-307 (2009). DOI: 10.2748/tmj/1245849449

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.

Citation

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Zhi-You Chen. Jann-Long Chern. Yong-Li Tang. "The structure of radial solutions for elliptic equations arising from the spherical Onsager vortex." Tohoku Math. J. (2) 61 (2) 287 - 307, 2009. https://doi.org/10.2748/tmj/1245849449

Information

Published: 2009
First available in Project Euclid: 24 June 2009

zbMATH: 1182.35105
MathSciNet: MR2541411
Digital Object Identifier: 10.2748/tmj/1245849449

Subjects:
Primary: 35J60
Secondary: 35B05

Keywords: elliptic equation , spherical Onsager vortex , structure of solutions

Rights: Copyright © 2009 Tohoku University

Vol.61 • No. 2 • 2009
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