Pieralberto Sicbaldi

collaborators

2 papers

math.AP2016

Solutions to overdetermined elliptic problems in nontrivial exterior domains

Antonio Ros, David Ruiz, Pieralberto Sicbaldi

In this paper we construct nontrivial exterior domains $Ω \subset R^{N}$ , for all $N \geq 2$ , such that the problem $$\left\{ {ll} -Δu +u -u^p=0,\ u >0 & \mbox{in }\; Ω, {1mm]…

math.DG2014

New examples of extremal domains for the first eigenvalue of the Laplace-Beltrami operator in a Riemannian manifold with boundary

Jimmy Lamboley, Pieralberto Sicbaldi

We build new examples of extremal domains with small prescribed volume for the first eigenvalue of the Laplace-Beltrami operator in some Riemannian manifold with boundary. These do…