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math.AP2024
A shape optimization problem in cylinders and related overdetermined problems
Paolo Caldiroli, Alessandro Iacopetti, Filomena Pacella
In this paper, we study a shape optimization problem for the torsional energy associated with a domain contained in an infinite cylinder, under a volume constraint. We prove that a…
math.AP2024
Nontrivial solutions to the relative overdetermined torsion problem in a cylinder
Filomena Pacella, David Ruiz, Pieralberto Sicbaldi
Given a bounded regular domain and the half-cylinder , we consider the relative overdetermined torsion problem in , i.e. \[\l…