Diff. Geom, Math. Phys., PDE Seminar: Nam Q. Le

  • Date: 02/06/2018
  • Time: 15:30
Nam Q. Le, Indiana University

University of British Columbia


The Monge-Ampere eigenvalue problem, Brunn-Minkowski inequality and global smoothness of the eigenfunctions


In this talk, I will first introduce the Monge-Ampere eigenvalue problem on general bounded convex domains and related analysis including the Brunn-Minkowski inequality for the eigenvalue. Then I will discuss the recent resolution, in joint work with Ovidiu Savin, of global smoothness of the eigenfunctions of the Monge-Ampere operator on smooth, bounded and uniformly convex domains in all dimensions. A key ingredient in our analysis is boundary Schauder estimates for certain degenerate Monge-Ampere equations.

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Location: ESB 2012