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Symmetry and Asymmetry: The Method of Moving Spheres

Qinian Jin·Yanyan Li·Haoyuan Xu
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Abstract

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.

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Qinian Jin, Yanyan Li, Haoyuan Xu. 2007-03-27. Symmetry and Asymmetry: The Method of Moving Spheres. https://arxiv.org/abs/math/0703808

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