| 与Minkowski空间中类空超曲面有关的一类二阶非线性椭圆型方程 |
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| 引用本文： | 陈柏辉. 与Minkowski空间中类空超曲面有关的一类二阶非线性椭圆型方程[J]. 四川大学学报(自然科学版), 1996, 33(3): 237-242 |
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| 作者姓名： | 陈柏辉 |
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| 摘 要： | 讨论了与Ｈｅｓｓｉａｎ阵本征值函数有关的非线性椭圆型方程，作为应用，对ｎ维Ｍｉｎｋｏｗｓｋｉ空间中预定主曲率对称多项式的类空超曲面方程的Ｄｉｒｉｃｈｌｅｔ型问题给出了解的存在性。
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| 关 键 词： | 对称多项式 椭圆型方程 类空超曲面 |
A SORT OF THE FULLY NONLINEAR SECOND ORDER ELLIPTIC EQUATIONS RELATE TO THE SPACELIKE HYPERSURFACE IN MINKOWSXI SPACE |
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| Chen Bohui. A SORT OF THE FULLY NONLINEAR SECOND ORDER ELLIPTIC EQUATIONS RELATE TO THE SPACELIKE HYPERSURFACE IN MINKOWSXI SPACE[J]. Journal of Sichuan University (Natural Science Edition), 1996, 33(3): 237-242 |
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| Authors: | Chen Bohui |
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| Affiliation: | Department of Mathematics |
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| Abstract: | The author discussed a sort of the fully nonlinear second order elliptic equations about the function of eigenvalues of Hessian matrix. Finally,as an application,the Dirichlet problem of spacelike hypersurfaces with prescribed function of principal curvatures in n -Minkowski space is established and solved. |
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| Keywords: | symmetric polynominal elliptic equation spacelike hypersurface |
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