Symmetry and Asymmetry: The Method of Moving Spheres
Analysis of PDEs
2007-05-23 v1
Abstract
We consider some nonlinear elliptic equations on and . 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.
Keywords
Cite
@article{arxiv.math/0703808,
title = {Symmetry and Asymmetry: The Method of Moving Spheres},
author = {Qinian Jin and Yanyan Li and Haoyuan Xu},
journal= {arXiv preprint arXiv:math/0703808},
year = {2007}
}