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math.AP2026
Serrin problems with vertical boundary behavior
Julián Pozuelo, Simone Verzellesi
We study Serrin-type overdetermined problems for a class of possibly degenerate elliptic operators under a vertical boundary condition forcing gradient blow-up. We identify the pre…
math.AP2026
Renormalization of contact vector fields with horizontal Sobolev regularity in Heisenberg groups
Luigi Ambrosio, Gianluca Somma, Simone Verzellesi +1
In this paper we obtain the well-posedness of the transport and continuity equations in the Heisenberg groups for a class of contact vector fields , under…
math.AP2025
A survey on anisotropic integral representation results
Simone Verzellesi
In this note we review some recent results concerning integral representation properties of local functionals driven by Lipschitz continuous anisotropies.