| 二阶完全非线性椭圆型方程强解的估计和存在性 |
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| 引用本文： | 赖善钟.二阶完全非线性椭圆型方程强解的估计和存在性[J].厦门大学学报(自然科学版),1988(4). |
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| 作者姓名： | 赖善钟 |
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| 作者单位： | 厦门大学数学系 |
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| 摘 要： | 作者研究了二维二阶完全非线性椭圆型方程的W~(2,2)整体估价问题,得到W~(3,2)强解的存在性,对二维拟线性方程和Bellman方程得到W~(2,2)强解的估计和存在性。
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| 关 键 词： | 强解 完全非线性 椭圆型方程 |
Estimates and Existence Theorems for Strong Solutions of Fully Nonlinear Second Order Elliptic Equations |
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| Lai Shanzhong.Estimates and Existence Theorems for Strong Solutions of Fully Nonlinear Second Order Elliptic Equations[J].Journal of Xiamen University(Natural Science),1988(4). |
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| Authors: | Lai Shanzhong |
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| Abstract: | In this paper, the w2,2 global estimates for 2-dimensional fully nonlinear second order elliptic equations and the existence theorems of w-3,2 strong solutions are derived. The estimates and existance theorems (or w2,2 solutions of quasilinear equations and Bellman equations are also obtained. |
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| Keywords: | Strong solutions Fully nonlinear Elliptic equations |
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