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20112024
most citedExistence and regularity of Faber Krahn minimizers in a Riemannian manifold

8 citations · 8 across the 5 of their papers we have counts for

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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…

math.DG2011

Bifurcating extremal domains for the first eigenvalue of the Laplacian

Felix Schlenk, Pieralberto Sicbaldi

We prove the existence of a smooth family of non-compact domains bifurcating from the straight cylinder for which the first eigenfunction o…