# Weekly Activities

Elliptic solutions to nonsymmetric Monge-Amp\{e}re type equations I. The $d$-concavity and the comparison principle
 Speaker: Thai Thi Kim ChungTime: 9h30, Tuesday, December 5, 2017Location: Room 4, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi Abstract: We consider the Dirichlet problem for nonsymmetric Monge-Amp\{e}re type equations, in which a skew-symmetric matrix is introduced. We establish uniform with respect to a class of skew-symmetric matrices bounds for $\delta$-elliptic $C^{2, \alpha}(\overline{\Omega})$-solutions to the Dirichlet problem. Then we prove the classical solvability of the Dirichlet problem, provided those skew-symmetric matrices are sufficiently small in some sence.

### Highlights

 15/11/18, Conference:Hội thảo "Lý thuyết Đồ thị và Ứng dụng" 29/11/18, Conference:INTERNATIONAL AUTUMN SCHOOL AND WORKSHOP ON MATHEMATICAL MODELS AND APPLICATIONS TO TRANSPORTATION PROBLEMS 01/12/18, Conference:Hội thảo khoa học các cựu học viên, nghiên cứu sinh LIA 03/12/18, Conference:Arithmetic Geometry and de Rham Theory 14/12/18, Colloquium Lecture:BICMR-IHM Colloquium in Mathematics 04/03/19, Conference:Conference “Algorithms, Optimization and Learning in Dynamics Environments” 02/04/19, Conference:International Conference on Applied Probability and Statistics (CAPS 2019)