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math.AP2026
Regularity results for elliptic equations on cones
Carlo Alberto Antonini, Filomena Pacella, Camilla Chiara Polvara +1
We study global regularity of solutions to Dirichlet or Neumann elliptic problems in spherical sectors of radius in , where is the bounded…
math.AP2026
A Constructive Approach to a Class of Overdetermined Problems
Alessandro Fortunati, Filomena Pacella
In this paper we study an overdetermined problem which is directly related to the well known torsion problem studied by J. Serrin. A perturbed version of the latter is tackled by u…