Weekly Activities

Some boundary value problems for Monge-Ampère type elliptic equations
Speaker: Thai Thi Kim Chung

Time: 9h30, Tuesday, April 10, 2018
Location: Room 201, Building A5, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract:: 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,

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