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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Jeffrey Case Penn State Title: Some results on a fully nonlinear boundary value problem from conformal geometry Abstract: A natural problem in geometry is to conformally deform a metric to one for which the k-th elementary symmetric function of the eigenvalues of the Schouten tensor is constant; as a problem in PDE, this is a fully nonlinear second-order PDE. In this talk, I will describe an existence and uniqueness result for the Dirichlet problem by minimizing a certain conformally invariant energy functional. Using similar ideas, I will describe a uniqueness theorem for a related Neumann problem which is closely related to the Sobolev trace embedding. If time allows, I will discuss generalizations to other fully nonlinear second-order operators. This is joint work with Yi Wang.Recording: http://mm.math.cmu.edu/recordings/cna/jeffrey_case_small.mp4Date: Thursday, November 30, 2017Time: 1:30 pmLocation: Wean Hall 7218Submitted by: Ian Tice |