%0 Journal Article
%T Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities
%A Antonio Greco
%J Boundary Value Problems
%D 2006
%I Springer
%R 10.1155/bvp/2006/80347
%X A boundary-value problem for a semilinear elliptic equation in a convex ring is considered. Under suitable structural conditions, any classical solution u lying between its (constant) boundary values is shown to decrease along each ray starting from the origin, and to have convex level surfaces.
%U http://dx.doi.org/10.1155/BVP/2006/80347