12–16 Jun 2023
Pisa
Europe/Rome timezone
Conference in honor of Luigi Ambrosio on the occasion of his 60th birthday

Min-Max construction of anisotropic minimal surfaces

13 Jun 2023, 09:00
1h
Aula magna ex Presidenza facoltà di Scienze (Pisa)

Aula magna ex Presidenza facoltà di Scienze

Pisa

Speaker

Guido De Philippis (New York University)

Description

Since the seminal work of Birkhoff min max techniques have been a powerful tool in showing existence of stationary point of geometric variational problem. Almgren-Pitts developed in the 80`s extended the min-max framework to the area functional, to show existence of minimal surfaces. In this talk I will discuss the extension of the Almgren-Pitts theory to anisotropic energies. The lack of local area bounds requires to devise a new strategy to the regularity theory. This is a joint work with A. De Rosa.

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