Open Access

Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities

Boundary Value Problems20062006:80347

DOI: 10.1155/BVP/2006/80347

Received: 24 August 2004

Accepted: 9 August 2005

Published: 14 February 2006


A boundary-value problem for a semilinear elliptic equation in a convex ring is considered. Under suitable structural conditions, any classical solution lying between its (constant) boundary values is shown to decrease along each ray starting from the origin, and to have convex level surfaces.


Authors’ Affiliations

Dipartimento di Matematica e Informatica


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© Antonio Greco 2006

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