2 papers
math.AP2022
The Dirichlet Problem for mixed Hessian type equations on Riemannian manifolds
Xiaojuan Chen, Juhua Shi, Xiaocui Wu +1
In this paper, we derive estimates for a class of mixed Hessian type equations with Dirichlet boundary condition, and obtain the existence theorem of admissible solutions for…
math.AP2018
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^…