An interior estimate for convex solutions and a rigidity theorem
An interior estimate for convex solutions and a rigidity theorem
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DOI：
10.1016/j.jfa.2016.01.008
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发表时间：
2015-04
期刊：
影响因子：
--
通讯作者：
Ming Li;Changyu Ren;Zhizhang Wang
中科院分区：
文献类型：
--
作者：
Ming Li;Changyu Ren;Zhizhang Wang
建立了k-Hessian方程Dirichlet问题k+ 1个凸解的内部C2估计.利用这种估计，我们得到了欧氏空间中k-Hessian方程的k+ 1凸整解的刚性定理.
We establish an interior C 2 estimate for k+ 1 convex solutions to Dirichlet problems of k-Hessian equations. We also use such estimate to obtain a rigidity theorem for k+ 1 convex entire solutions of k-Hessian equations in Euclidean space.