论文标题
退化$ K $ -Hessian方程的凸解决方案的二阶估算
Second order estimates for convex solutions of degenerate $k$-Hessian equations
论文作者
论文摘要
$ c^{1,1} $估计的dirichlet问题的否定$ k $ - hessian方程具有非家庭边界条件是一个开放的问题，如果右手侧函数$ f $仅被认为满足$ f^{1/（k-1）} \ in C^{1,1} $。在本文中，我们解决了严格凸有界域中定义的凸解决方案的问题。
The $C^{1,1}$ estimate of the Dirichlet problem for degenerate $k$-Hessian equations with non-homogenous boundary conditions is an open problem, if the right hand side function $f$ is only assumed to satisfy $f^{1/(k-1)} \in C^{1,1}$. In this paper, we solve this problem for convex solutions defined in the strictly convex bounded domain.
