Báo cáo viên: Thái Thị Kim Chung
Thời gian: 9h30, Thứ 3 ngày 10/4/2018 Địa điểm: Phòng 201, Nhà A5, Viện Toán học, 18 Hoàng Quốc Việt, Cầu Giấy, Hà Nội Tóm tắt: The reporter will continue to talk on principal contains of the PhD Thesis, entitled: "Some boundary value problems for Monge-Ampère type elliptic equations". The report consists of:
5) The interior a priori estimates for second derivatives of $delta$-elliptic solutions;
6) The boundary a priori estimates for second derivatives of $delta$-elliptic solutions to the Dirichlet problem;
7) A priori Holder estimates for second derivatives of $delta$-elliptic solutions to the Dirichlet problem;
8) The uniform with respect to a class of skew-symmetric matrices bounds for $delta$-elliptic $C^{2, alpha}(overline{Omega})$-solutions to the Dirichlet problem;
9) A neccessary condition for the existence of $delta$-elliptic solution to nonsymmetric Monge-Ampère type equations;
10) Sufficient conditions for the existence of $delta$-elliptic solution to nonsymmetric Monge-Ampère type equations;
11) Some examples, |