Paolo Valentini

collaborators

2 papers

math.DG2026

Legendrian cycles and Reilly-type variational formulae for $F_{n} W^{2, n}$ -sets

Paolo Valentini

We construct a natural Legendrian cycle $N_{S}$ associated with any $F_{n} W^{2, n}$ -set $S$ , that is, a closed set locally described as a finite union of g…

math.DG2025

Alexandrov sphere theorems for $W^{2, n}$ -hypersurfaces

Mario Santilli, Paolo Valentini

In this paper we extend Alexandrov's sphere theorems for higher-order mean curvature functions to $W^{2, n}$ -regular hypersurfaces under a general degenerate elliptic condition. T…

Legendrian cycles and Reilly-type variational formulae for Fn​W2,n-sets

Alexandrov sphere theorems for W2,n-hypersurfaces

Legendrian cycles and Reilly-type variational formulae for $F_{n} W^{2, n}$ -sets

Alexandrov sphere theorems for $W^{2, n}$ -hypersurfaces