5 papers · 1 filter
On the Dirichlet problem for general augmented Hessian equations
Feida Jiang, Neil S. Trudinger
In this paper we apply various first and second derivative estimates and barrier constructions from our treatment of oblique boundary value problems for augmented Hessian equations…
Oblique boundary value problems for augmented Hessian equations III
Feida Jiang, Neil S Trudinger
In bounded domains, without any geometric conditions, we study the existence and uniqueness of globally Lipschitz and interior strong C^{1,1}, (and classical C^2), solutions of gen…
Interior C^{1,1} regularity of solutions to degenerate Monge-Ampère type equations
Feida Jiang, Juhua Shi, Xiaoping Yang
In this paper, we study the interior C^{1,1} regularity of viscosity solutions for a degenerate Monge-Ampère type equation \det[D^{2}u-A(x, u, Du)]=B(x, u, Du) when B \geq 0 and B^…
Oblique boundary value problems for augmneted Hessian equations II
Feida Jiang, Neil S. Trudinger
In this paper, we continue our investigations into the global theory of oblique boundary value problems for augmented Hessian equations. We construct a global barrier function in t…
On the Dirichlet problem for Monge-Ampere type equations
Feida Jiang, Neil S Trudinger, Xiao-Ping Yang
In this paper, we prove second derivative estimates together with classical solvability for the Dirichlet problem of certain Monge-Ampere type equations under sharp hypotheses. In…