P. Sicbaldi

activity

20112026

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

8 citations · 8 across the 9 of their papers we have counts for

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Showing 2024 · math.APShow all

2 papers · 2 filters

math.AP2024

Overdetermined elliptic problems in nontrivial exterior domains of the hyperbolic space

Guowei Dai, Pieralberto Sicbaldi, Yong Zhang

We construct nontrivial unbounded domains $Ω$ in the hyperbolic space $H^{N}$ , $N \in {2, 3, 4}$ , bifurcating from the complement of a ball, such that the overdetermined ell…

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…