Some questions on fully nonlinear elliptic equations
Speaker: Ha Tien Ngoan

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.


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