Singular solutions to the Monge-Ampere equation

  • Connor Mooney (ETH Zürich)
G3 10 (Lecture hall)


The Monge-Ampere equation det D^2u = 1 arises in several applications. Examples of Pogorelov show that interior regularity is not expected in general. We will discuss optimal estimates on the Hausdorff dimension of the singular set, and sharp integrability conditions for the second derivatives that rule out singularities. Some of this is joint work with T. Collins.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • 14.05.2024 tba with Barbara Verfürth
  • 14.05.2024 tba with Lisa Hartung
  • 04.06.2024 tba with Vadim Gorin
  • 25.06.2024 tba with Paul Dario
  • 16.07.2024 tba with Michael Loss
  • 20.08.2024 tba with Tomasz Komorowski
  • 03.12.2024 tba with Patricia Gonçalves