The optimal global estimate and boundary behavior for large solutions to the k-Hessian equation

Haitao Wan, Yongxiu Shi

In this paper, we consider the $k$-Hessian equation $S_{k}(D^{2}u)=b(x)f(u)\mbox{ in }Ω,\,u=+\infty \mbox{ on }\partialΩ$, where $\Omega$ is a smooth, bounded, strictly convex domain in…