Yannick Sire, Enrico Valdinoci
Published 2009-07-15Version 1
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.
Harnack inequality for degenerate and singular operators of $p$-Laplacian type on Riemannian manifolds
Stable solutions of elliptic equations on Riemannian manifolds
Residue-Torsion of the Laplacian on Riemannian Manifolds
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