论文标题
pogorelov估计退化曲率方程
The Pogorelov estimates for degenerate curvature equations
论文作者
论文摘要
我们建立了退化开处方的K映射方程以及K-Hessian方程的Pogorelov类型估计。此外，我们研究了解决方案的内部C1,1针对Dirichlet问题的规律性。这些技术还使我们能够改善双曲线空间中渐近高原类型问题的存在定理。
We establish the Pogorelov type estimates for degenerate prescribed k-curvature equations as well as k-Hessian equations. Furthermore,we investigate the interior C1,1 regularity of the solutions for Dirichlet problems. These techniques also enable us to improve the existence theorem for an asymptotic Plateau type problem in hyperbolic space.
