Seminars & Colloquia Calendar

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Special Colloquium

On the Dirichlet principle for the fully nonlinear operators

Yi Wang, Johns Hopkins University

Location:  Hill 705
Date & time: Monday, 22 January 2018 at 3:30PM - 4:30PM

Abstract: In this talk, we will discuss the Dirichlet principle for two fully nonlinear operators.  One of them arises from the conformal deformation problem on manifolds with boundary which includes prescribing \(sigma_k\) curvature equation. We use conformally invariants as the key technical tool to prove the Dirichlet principle. The other operator is the \(k\)-Hessian operator. We construct the matching boundary integral for it to prove Dirichlet principle. 

This is joint work with Jeffrey Case.


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