Symmetry and Asymmetry: The Method of Moving Spheres

Details Symmetry and Asymmetry: The Method of Moving Spheres Symmetry and Asymmetry: The Method of Moving Spheres

2007-03-27

arxiv.org/abs/math/0703808v1

Mathematics

Analysis of PDEs

Scientific paper

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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