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Nonlinear Analysis

Progress on minimal hypersurfaces with free boundary

Xin Zhou, UC Santa Barbara & Institute for Advanced Study

Location:  Hill 705
Date & time: Wednesday, 10 October 2018 at 1:40PM - 3:00PM

Abstract:  Minimal surfaces with free boundary are natural critical points of the area functional in compact smooth manifolds with boundary. I will start with my joint work with Martin Li, where we obtained a general existence theory for minimal surfaces with free boundary using the min-max method. Then I will discuss some questions and recent progresses in this field.

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