# 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

 10/09/18, Conference:The 10th Japan-Vietnam Joint Seminar on Commutative Algebra 15/09/18, Conference:The 6th Franco-Japanese-Vietnamese Symposium on Singularities 17/10/18, Conference:The Winter School on Algebraic Geometry 22/10/18, Conference:The Third Mongolia-Russia-Vietnam Workshop on Numerical Solution of Integral and Differential Equations (NSIDE 2018) 23/10/18, Conference:ALGEBRAIC GEOMETRY IN EAST ASIA 03/12/18, Conference:Arithmetic Geometry and de Rham Theory