Cong Wang

collaborators

2 papers

math.AP2024

Two Necessary and Sufficient Conditions to the Solvability of the Exterior Dirichlet Problem for the Monge-Ampère Equation

Cong Wang, Jiguang Bao

The present paper provides two necessary and sufficient conditions for the existence of solutions to the exterior Dirichlet problem of the Monge-Ampère equation with prescribed asy…

math.AP2022

Interior estimates of derivatives and a Liouville type theorem for Parabolic $k$ -Hessian equations

Jiguang Bao, Jiechen Qiang, Zhongwei Tang +1

In this paper, we establish the gradient and Pogorelov estimates for $k$ -convex-monotone solutions to parabolic $k$ -Hessian equations of the form $- u_{t} σ_{k} (λ (D^{2} u)) = ψ (x, t, u)$ . We al…

Two Necessary and Sufficient Conditions to the Solvability of the Exterior Dirichlet Problem for the Monge-Ampère Equation

Interior estimates of derivatives and a Liouville type theorem for Parabolic k-Hessian equations

Interior estimates of derivatives and a Liouville type theorem for Parabolic $k$ -Hessian equations