报告题目：Krylov type equation in Conformal geometry

报告人：刘馨莹博士，浙江大学

报告时间：2024年4月30日（周二）10:30-11:20

报告地点：20-200

报告摘要：We consider a class of nonlinear elliptic equations in the Krylov type, which can be viewed as a generalization of the Hessian equation for Schouten tensor. After a conformal change, we proved an existence theorem under the assumption that k > n/2. Moreover, we considered the Dirichlet problem and Neumann problem for a modified Schouten tensor in the smooth closed Riemannian manifold with smooth boundary. A k-admissible solution can be assured under some suitable settings.

邀请人：陈豪杰