Symmetry and Asymmetry: The Method of Moving Spheres

الأصل · EN

We consider some nonlinear elliptic equations on Rⁿ and 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.