Pieralberto Sicbaldi

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20142024

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math.AP2024

Nontrivial solutions to the relative overdetermined torsion problem in a cylinder

Filomena Pacella, David Ruiz, Pieralberto Sicbaldi

Given a bounded regular domain $ω \subset R^{N - 1}$ and the half-cylinder $Σ = ω \times (0, + \infty)$ , we consider the relative overdetermined torsion problem in $Σ$ , i.e. \[\l…

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]…