Yannick Sire, Enrico Valdinoci
Some elliptic PDEs on Riemannian manifolds with boundary
(230K, pdf)

ABSTRACT.  The goal of this paper is to investigate some rigidity properties 
of stable solutions of elliptic equations set on manifolds with 
boundary. 
We provide several types of 
results, according to the dimension of 
the manifold and the sign of its Ricci curvature.