collaborators

2 papers

math.AP2026

Stable Semilinear Elliptic Equations: -Regularity à la Brezis and Dimensional Bounds for the Singular Set

Alessio Figalli, Federico Franceschini

We develop a quantitative partial regularity theory for stable solutions of \[ -Δu=f(u), \] where is increasing and convex. The theory is uniform in…

math.DG2026

Minimal Surfaces with Stratified Branching Sets

Federico Franceschini, Rafe Mazzeo, Paul Minter

Inspired by the Taubes-Wu construction of two-valued harmonic functions by the use of symmetry, we construct minimal surfaces with stratified branching sets as…