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math.AP2025
Non-isoparametric Serrin domains of with connected toric boundary
Andrea Bisterzo, Shigeru Sakaguchi
We investigate the overdetermined torsion problem $\begin{cases} -Δu = 1 & \text{in}\ Ω\\ u=0 & \text{on}\ \partial Ω\\ \frac{\partial u}{\partial ν}=\text{const.} & \text{on}\ \pa…
math.DG2025
Rigidity of an overdetermined heat equation and minimal helicoids in space-forms
Andrea Bisterzo, Alessandro Savo
Let be a Riemannian manifold and a smooth domain of . We study the following heat diffusion problem: assume that the initial temperature is equal to , uniformly on $Ω…