# Seminars & Colloquia Calendar

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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