Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502757 | Journal of Mathematical Analysis and Applications | 2005 | 9 Pages |
Abstract
Taking advantage of the “invariance” under conformal transformations of certain elliptic operators and combining it with symmetry results obtained by moving totally geodesic hypersurfaces in Hn, we are able to prove the symmetry of positive solutions of âÎu=f(r,u), in balls in Rn, for a class of nonlinearities that do not satisfy the classical hypothesis of f being decreasing in r.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
LuÃs Almeida, Yuxin Ge, Giandomenico Orlandi,