Symmetry and Asymmetry: The Method of Moving Spheres

2007/03/27 by Jin, Qinian, Li, Yanyan, Xu, Haoyuan
#35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0703808

Abstract

We consider some nonlinear elliptic equations on \mathbb Rⁿ and \mathbb Sⁿ. 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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