Some elliptic PDEs on Riemannian manifolds with boundary

Details Some elliptic PDEs on Riemannian manifolds with boundary Some elliptic PDEs on Riemannian manifolds with boundary

2009-07-15

arxiv.org/abs/0907.2534v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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