Tohoku Mathematical Journal

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

Zhi-You Chen, Jann-Long Chern, and Yong-Li Tang

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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

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

First available in Project Euclid: 24 June 2009

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Zentralblatt MATH identifier

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

Elliptic equation spherical Onsager vortex structure of solutions


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.

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