| 摘要: |
| 本文考虑了广义Christoffel-Minkowski问题 σk(uij+uδij)/σl(uij+uδij)=up-1f(x), x∈Sn,其中 0≤l <k≤n是整数, p-1 > 0, f是一个正函数.对于上述方程的的正凸偶解,本文建立了解的加权梯度估计和一致C0估计.这是对Guan-Xia[1]和Guan[2]中结果的一般化. |
| 关键词: 加权梯度估计 凸解 Minkowski型问题 |
| DOI： |
| 分类号:O175.25 |
| 基金项目: |
|
| The UNIFORM C0 ESTIMATE AND WEIGHTED ESTIMATE OF GENERALIZED CHRISTOFFEL-MINKOWSKI PROBLEMS |
|
ZHANG Jin-hu
|
|
School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China
|
| Abstract: |
| In this paper, we consider generalized Christoffel-Minkowski problems as follows σk(uij+uδij)/σl(uij+uδij)=up-1f(x), x∈Sn, where 0≤l <k≤n, p-1>0 and f is positive, and we establish the weighted gradient estimate and uniform C0 estimate for the positive convex even solutions, which is a generalization of Guan-Xia [1] and Guan [2]. |
| Key words: weighted gradient estimate convex solution minkowski type problem |
