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Nonlinear Analysis

The singular Yamabe problem and some fully nonlinear generalizations  

Matt Gursky, University of Notre Dame

Location:  Hill 705
Date & time: Tuesday, 13 November 2018 at 1:40PM - 3:00PM

Abstract:  I will begin with an overview of the work of Loewner-Nirenberg on constructing complete conformal metrics of constant negative scalar curvature on domains in Euclidean space, and the question of regularity up to the boundary. 

I will then describe some fully nonlinear generalizations of their work, and some recent joint work with R. Graham on the geometric content of these generalizations and boundary/interior regularity issues that arise in their study.  

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