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Some elliptic PDEs on Riemannian manifolds with boundary

Analysis of PDEs 2009-07-16 v1
Authors: Yannick Sire , Enrico Valdinoci
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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.

Keywords

elliptic PDEs Riemannian manifolds with boundary stable solutions rigidity Ricci curvature

Cite

@article{arxiv.0907.2534,
  title  = {Some elliptic PDEs on Riemannian manifolds with boundary},
  author = {Yannick Sire and Enrico Valdinoci},
  journal= {arXiv preprint arXiv:0907.2534},
  year   = {2009}
}

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