3 papers
math.DG2026
Alexandrov Theorem for constant weighted mean curvature surfaces
Florian Johne, Lauro Silini
We prove a Heintze--Karcher type inequality for a large class of log-convex weights in Euclidean and Hyperbolic spaces. As a consequence we obtain an Alexandrov theorem for -sel…
math.AP2025
Free energy minimizers with radial densities: classification and quantitative stability
Shrey Aryan, Lauro Silini
We study the isoperimetric problem with a potential energy in weighted by a radial density and analyze the geometric properties of minimizers. Notably, we co…
math.DG2022
Approaching the isoperimetric problem in via the hyperbolic log-convex density conjecture
Lauro Silini
We prove that geodesic balls centered at some base point are isoperimetric in the real hyperbolic space endowed with a smooth, radial, strictly log-convex density…