5 papers
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…
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…
Quantitative -stability of spheres in rank one symmetric spaces of non-compact type
Lauro Silini
We prove that in any rank one symmetric space of non-compact type , geodesic spheres are uniformly quantitative…
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…
Local existence of smooth solutions for the semigeostrophic equations on curved domains
Lauro Silini
We prove local-in-time existence of smooth solutions to the semigeostrophic equations in the general setting of smooth, bounded and simply connected domains of endow…