Time: 9h30, Tuesday, November 7, 2017
Location: Room 4, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: We survey some important research directions and results by Nirenberg, Caffarelli, Evans, Trudinger, Krylov, .... on fully nonlinear elliptic equations. The following topics will be discussed:

1. Some examples on fully elliptic equations
2. Questions on the definitions and their extensions of fully elliptic equation.
3. Classical and generalized solutions to fully nonlinear elliptic equations
4. A priori estimates of solutions to fully nonlinear elliptic equations
5. Continuous methods for solving boundary value problems for fully nonlinear elliptic equations
6. Monge-Ampère type equations and their relations to optimal transport problems.