| 二阶椭圆方程的下解及Holder连续的一个新证明(英文) |
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| 引用本文： | 李彬,杨晗,沈洁琼.二阶椭圆方程的下解及Holder连续的一个新证明(英文)[J].应用数学,2010,23(4). |
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| 作者姓名： | 李彬 杨晗 沈洁琼 |
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| 作者单位： | 西南交通大学数学学院,四川,成都,610031 |
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| 摘 要： | 借助于检试函数和迭代技术,在系数弱光滑性假设条件下,本文研究了二阶椭圆方程的下解和正则性.进一步借助于局部估计和Poincare不等式,我们给出了Holder连续的一个新证明.
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| 关 键 词： | 下解 正则性 Holder连续 检试函数 迭代法 Poincare不等式 |
Subsolution and a Novel Proof of Holder's Continuity for Elliptic Equations of Second Order |
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| LI Bin,YANG Han,SHEN Jieqiong.Subsolution and a Novel Proof of Holder's Continuity for Elliptic Equations of Second Order[J].Mathematica Applicata,2010,23(4). |
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| Authors: | LI Bin YANG Han SHEN Jieqiong |
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| Abstract: | By using the test functions and technique of iteration,the paper focus on the subsolution and regularity for elliptic equations of second order under the weak smoothness assumption on the coefficients. Furthermore, we shall give a novel proof of Holder's continuity that relies on the local estimate and the Poincare inequality. |
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| Keywords: | Subsolution Regularity Holder's continuity Test function Iteration method Poincare inequality |
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