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

 26/02/18, Conference:International conference "Nevanlinna theory and Complex Geometry in Honor of Lê Văn Thiêm's Centenary" 05/03/18, Conference:CIMPA-IMH-VAST research school on "Recent developments in stochastic dynamics and stochastic analysis" 05/03/18, Conference:IMH-SEAMS school 2018 "Hyperplane Arrangements" 19/03/18, Conference:7th International Conference on HIGH PERFORMANCE SCIENTIFIC COMPUTING Modeling, Simulation and Optimization of Complex Processes 15/04/18, Conference:Hội nghị Quốc tế về Tổ hợp, Lý thuyết đồ thị và Ứng dụng lần thứ I 19/04/18, Conference:16th Workshop on Optimization and Scientific Computing