Symmetry and Asymmetry: The Method of Moving Spheres

We consider some nonlinear elliptic equations on \({\mathbb R}^n\) and \({\mathbb S}^n\). By the method of moving spheres, we obtain the symmetry properties of solutions and some nonexistence results. Moreover, by the global bifurcation theory, we obtain a multiplicity result for a class of semiline...

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Bibliographic Details
Published in:arXiv.org 2007-03
Main Authors: Jin, Qinian, Li, Yanyan, Xu, Haoyuan
Format: Article
Language:English
Subjects:
Asymmetry
Symmetry
Online Access:Get full text
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Summary:We consider some nonlinear elliptic equations on \({\mathbb R}^n\) and \({\mathbb S}^n\). By the method of moving spheres, we obtain the symmetry properties of solutions and some nonexistence results. Moreover, by the global bifurcation theory, we obtain a multiplicity result for a class of semilinear elliptic equations.
ISSN:2331-8422