STARSHAPED COMPACT HYPERSURFACES WITH PRESCRIBED M－TH MEAN CURVATURE IN ELLIPTIC SPACE

作     者：LiYanyan VladimirI.Oliker 

作者机构：RutgersUniversityNewBrunswickNewJersey08903USA EmoryUniversityAtlantaGeorgiaUSA 

出 版 物：《Journal of Partial Differential Equations》 (偏微分方程（英文版）)

年 卷 期：2002年第15卷第3期

页      面：68-80页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：1 Work partially supported by NSF grant DMS-0100819 2 Supported by Emory University Research Committee and Emory-TU Berlin Exchange Program 

主　　题：室形紧超曲面 椭圆空间 平均曲率 非线性椭圆方程 指定曲率函数 截面曲率 先验估计 

摘      要：We consider the problem of finding a compact starshaped hypersurface in a space form for which the normalized m-th elementary symmetric funciton of principal curvatures is a prescribed funciton .In this paper the conditions for the existence of at least on solution to a nonlinear second order elliptic equation of that problem are established in case of a space form with positive sectional curvature.