## Tohoku Mathematical Journal

### 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.

#### Article information

Source
Tohoku Math. J. (2), Volume 61, Number 2 (2009), 287-307.

Dates
First available in Project Euclid: 24 June 2009

https://projecteuclid.org/euclid.tmj/1245849449

Digital Object Identifier
doi:10.2748/tmj/1245849449

Mathematical Reviews number (MathSciNet)
MR2541411

Zentralblatt MATH identifier
1182.35105

Subjects
Primary: 35J60: Nonlinear elliptic equations
Secondary: 35B05: Oscillation, zeros of solutions, mean value theorems, etc.

#### Citation

Chen, Zhi-You; Chern, Jann-Long; Tang, Yong-Li. The structure of radial solutions for elliptic equations arising from the spherical Onsager vortex. Tohoku Math. J. (2) 61 (2009), no. 2, 287--307. doi:10.2748/tmj/1245849449. https://projecteuclid.org/euclid.tmj/1245849449

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