Title: Asymptotic behavior of solutions to Hessian equations over exterior domains
Speaker: Yu Yuan (University of Washington)
Abstract: We present a unified approach to quadratic asymptote of solutions to a class of fully nonlinear elliptic equations over exterior domains, including Monge-Ampere equations (previously known), special Lagrangian equations, quadratic Hessian equations, and inverse harmonic Hessian equations. The argument is based on the consequence of our "exterior" Evans-Krylov--an exterior Liouville type result for general fully nonlinear elliptic equations toward constant asymptotics of bounded Hessian--and also certain rotation arguments developed earlier toward Hessian bound. This is joint work with Dongsheng Li and Zhisu Li.
Seminar URL: https://research.math.osu.edu/pde/