Diff. Geom, Math. Phys., PDE Seminar: Xin Zhou

  • Date: 04/11/2017
  • Time: 15:30
Xin Zhou, U.C. Santa Barbara

University of British Columbia


Min-max minimal hypersurfaces with free boundary


I will present a joint work with Martin Li. Minimal surfaces with free boundary are natural critical points of the area functional in compact smooth manifolds with boundary. In this talk, I will describe a general existence theory for minimal surfaces with free boundary. In particular, I will show the existence of a smooth embedded minimal hypersurface with free boundary in any compact smooth Euclidean domain. The minimal surfaces with free boundary were constructed using the min-max method. I will explain the basic ideas behind the min-max theory as well as our new contributions.

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Location: ESB 2012