Article ID Journal Published Year Pages File Type
9502757 Journal of Mathematical Analysis and Applications 2005 9 Pages PDF
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 −Δu=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.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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