Analysis Seminar

A short proof of Allard's theorem

by Carlo Gasparetto (SISSA)

Aula Magna (Dipartimento di Matematica)

Aula Magna

Dipartimento di Matematica


Allard's theorem roughly states that a minimal surface, that is close enough to a plane, coincides with the graph of a smooth function which enjoys suitable a priori estimates. In this talk we will show how one can prove this result by exploiting viscosity technique and a weighted monotonicity formula.

This talk is based on a joint work with Guido De Philippis and Felix Schulze.