Second Order Interior Estimates of Monge-Ampere Type Equations

Second Order Interior Estimates of Monge-Ampere Type Equations

Explore a 56-minute lecture on second order interior estimates of Monge-Ampere type equations presented by Feida Jiang at ICBS2024. Delve into a series of fully nonlinear elliptic equations related to Monge-Ampere equations, reviewing their interior second order derivative estimates. Focus on the interior second order derivative estimates of Monge-Ampere type equations with partial structure, examining the application of partial Pogorelov estimates and partial Legendre transforms in this context.