| 椭圆型Monge-Ampere方程解的正则性的进一步探讨 |
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| 引用本文： | 廖亮源.椭圆型Monge-Ampere方程解的正则性的进一步探讨[J].西南交通大学学报,1988(4). |
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| 作者姓名： | 廖亮源 |
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| 摘 要： | 椭圆型Monge-Ampere方程的解的内部正则性已为作者证明,本文进一步探讨该方程的解Z(x,y)的正则性,藉助散度型方程的Campanato技巧证明在引言中所给出的两个正则性定理。
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| 关 键 词： | Monge-Ampere万程 正则性定理 Campanato技巧 |
Further Research on the Regularity of Solutions of Elliptic Monge-Ampere Equations |
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| Liao Liangyuan.Further Research on the Regularity of Solutions of Elliptic Monge-Ampere Equations[J].Journal of Southwest Jiaotong University,1988(4). |
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| Authors: | Liao Liangyuan |
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| Institution: | Liao Liangyuan |
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| Abstract: | The interior regularity of solutions Z(x, y)of elliptic Monge- Ampere equations has ben proved by the author in 1]. In this paper, two theorems concerning the regularity of solutions Z(x, y) of such equations are further deduced via Campanato's technique for equations in divergence form. |
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| Keywords: | Monge-Ampere equations regularity theorems Campanato's technique |
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