most citedCapacite et inegalite de Faber-Krahn dans l'espace euclidien

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math.DG2005

Stabilite de Faber-Krahn en courbure de Ricci positive

Jerome Bertrand

P. Berard and D. Meyer proved a Faber-Krahn inequality for domains in compact manifolds with positive Ricci curvature. We prove stability results for this inequality.

math.DG2005

Pincement spectral en courbure de Ricci positive

Jerome Bertrand

We show that for n dimensional manifolds whose the Ricci curvature is greater or equal to n-1 and for k in {1,...,n+1}, the k-th eigenvalue for the Laplacian is close to n if and o…

math.DG2005★ 1 cited

Capacite et inegalite de Faber-Krahn dans l'espace euclidien

Jerome Bertrand, Bruno Colbois

In this paper, we define a new capacity which allows us to control the behaviour of the Dirichlet spectrum of a compact Riemannian manifold with boundary, with "small" subsets (whi…