Symmetry and Asymmetry: The Method of Moving Spheres

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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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Analysis of PDEs, 35J60

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http://salesiana.dossiersoluciones.com/handle/123456789/126487

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703808
 http://arxiv.org/abs/math/0703808

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arXiv