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20112026
most citedExistence and regularity of Faber Krahn minimizers in a Riemannian manifold

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math.DG2013

Extremal domains for the first eigenvalue in a general Riemannian manifold

Erwann Delay, Pieralberto Sicbaldi

We prove the existence of extremal domains with small prescribed volume for the first eigenvalue of the Laplace-Beltrami operator in any compact Riemannian manifold. This result ge…