P. Sicbaldi

activity

20112015

collaborators

3 papers

math.AP2015

A rigidity result for overdetermined elliptic problems in the plane

Antonio Ros, David Ruiz, Pieralberto Sicbaldi

Let $f : [0, + \infty) \to R$ be a (locally) Lipschitz function and $Ω \subset R^{2}$ a $C^{1, α}$ domain whose boundary is unbounded and connected. If there exists a pos…

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 $O m e g a_{s} \subset R^{n + 1}$ bifurcating from the straight cylinder $B^{n} \times R$ for which the first eigenfunction o…