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

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Nonlinear elliptic equations Spaces of constant sectional curvature Hypersurfaces with prescribed curvature functions..
• 年，卷（期）: 2002,（3）
• 页码范围: 68-80
• 页数: 13页
• 分类号: O175.29,O175.25.
• 语种: 英文

摘要

We consider the problem of finding a compact starshaped hypersurfacein a space form for which the normalized m-th elementary symmetric function of prin-cipal curvatures is a prescribed function. In this paper the conditions for the existenceof at least one solution to a nonlinear second order elliptic equation of that problem areestablished in case of a space form with positive sectional curvature.