1 citations · 1 across the 3 of their papers we have counts for
3 papers
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.DG2025
Variational properties of the total inverse mean curvature in the plane under boundary constraints
Julián Pozuelo, Simone Verzellesi, Giacomo Vianello
We study the variational behavior of the total inverse mean curvature of curves with prescribed boundary in the half-plane. We characterize the existence of critical points with pr…
math.DG2024★ 1 cited
Existence and uniqueness of -graphs of prescribed mean curvature in Heisenberg groups
Julián Pozuelo, Simone Verzellesi
We study the prescribed mean curvature equation for -graphs in a Riemannian Heisenberg group of arbitrary dimension. We characterize the existence of classical solutions in a bo…