| 一个Hessian商方程强解的光滑性 |
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| 引用本文： | 保继光,李美生. 一个Hessian商方程强解的光滑性[J]. 数学进展, 2004, 33(3): 303-315 |
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| 作者姓名： | 保继光 李美生 |
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| 作者单位： | 1. 北京师范大学数学系,北京,100875
2. 北京航空航天大学应用数学系,北京,100083 |
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| 基金项目： | The project is partially supported by the National Natural Science Foundation(No.10071005),the Specialized Research Fund for the Doctoral Program of Higher Education(No.1999002705)and the Scientific Research Foundation for the Returned Overseas Chinese S |
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| 摘 要： | 我们获得了一个Hessian商方程W2p强解当p＞n(n-1)/2时的C1,1局部估计,并证明了这些解是光滑的.有反例表明这个正则性结果在n=3时是最优的.
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| 关 键 词： | C^1 1局部估计 W^2p强解 Hessian商方程 光滑性 |
Smoothness for Strong Solutions of a Hessian Quotient Equation |
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| Abstract. Smoothness for Strong Solutions of a Hessian Quotient Equation[J]. Advances in Mathematics(China), 2004, 33(3): 303-315 |
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| Authors: | Abstract |
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| Abstract: | We obtain the local C~(1,1) estimates for the W~(2,p) strong solutions of a Hessianquotient equations with p>n(n-1)/2, and then prove these solutions are smooth. There is acouaterexample to show that this regularity result is optimal for n=3. |
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| Keywords: | local C~(1.1) estimate W~(2 p) strong solution Hessian quotient equation smoothness |
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