Data di Pubblicazione:
2010
Citazione:
Some elliptic PDEs on Riemannian manifolds with boundary / Y. Sire, E. Valdinoci. - In: PACIFIC JOURNAL OF MATHEMATICS. - ISSN 0030-8730. - 248:2(2010), pp. 475-492. [10.2140/pjm.2010.248.475]
Abstract:
We study some rigidity properties of stable solutions of elliptic equations set on manifolds with boundary. Our results are classified by the dimension of the manifold and the sign of its Ricci curvature. As a consequence of our results on boundary reactions, we obtain several symmetry and Liouville results for nonlocal equations.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Geometric analysis; PDEs on manifolds
Elenco autori:
Y. Sire, E. Valdinoci
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