The structure of radial solutions for elliptic equations arising from the
spherical Onsager vortex
Zhi-You Chen, Jann-Long Chern, and Yong-Li Tang
Source: Tohoku Math. J. (2)
Volume 61, Number 2
(2009), 287-307.
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.
Primary Subjects: 35J60
Secondary Subjects: 35B05
Keywords: Elliptic equation; spherical Onsager vortex; structure of solutions
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.tmj/1245849449
Digital Object Identifier: doi:10.2748/tmj/1245849449
Zentralblatt MATH identifier:
05608376
Mathematical Reviews number (MathSciNet):
MR2541411
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