| 一类相对极值超曲面及其Bernstein性质 |
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| 引用本文： | 金迎迎,岳洪伟. 一类相对极值超曲面及其Bernstein性质[J]. 五邑大学学报(自然科学版), 2009, 23(3): 37-41 |
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| 作者姓名： | 金迎迎 岳洪伟 |
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| 作者单位： | 1. 五邑大学,数理系,广东,江门,529020
2. 仲恺农业工程学院,信息学院,广东,广州,510230 |
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| 摘 要： | 在幺模仿射空间定义一个四阶偏微分方程，求出此方程的凸解，证明由此解函数所决定的局部严格凸超曲面的Bernstein性质。
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| 关 键 词： | 极值超曲面 Bernstein性质 四阶偏微分方程 |
A Class of Relative Extremal Hypersurface and Their Bernstein Property |
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| JIN Ying-ying,YUE Hong-wei. A Class of Relative Extremal Hypersurface and Their Bernstein Property[J]. Journal of Wuyi University(Natural Science Edition), 2009, 23(3): 37-41 |
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| Authors: | JIN Ying-ying YUE Hong-wei |
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| Affiliation: | JIN Ying-ying, YUE Hong-wei(1. Department of Mathematics and Physics, Wuyi University, Jiangmen 529020, China;2. Information College, Zhongkai University of Agriculture and Engineering,Guangzhou 510230, China) |
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| Abstract: | In this paper, we first define a forth order PDE on local unimodular affine space of n＋1 and then solve the equation. We investigate locally strong convex hypersurfaces by giving a convex solution of the forth order PDE and prove a Bernstein property of the convex solutions of this equation. |
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| Keywords: | extremal hypersurface Bernstein property fourth order partial differential equations |
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