| 具间断系数的N维拟线性椭圆方程弱解的正则性 |
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| 引用本文： | 谭启建,冷忠建.具间断系数的N维拟线性椭圆方程弱解的正则性[J].数学研究及应用,2008,28(4):779-788. |
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| 作者姓名： | 谭启建 冷忠建 |
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| 作者单位： | 四川教育学院数学系, 四川 成都 610041;四川大学数学学院, 四川 成都 610064 |
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| 基金项目： | 四川省教育学院科研基金(No.2006015). |
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| 摘 要： | 讨论了具间断系数的N维拟线性椭圆方程. 利用估计和差分逼近方法,证明了弱解的一阶导数H\"{o}lder连续到方程系数间断的内边界.
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| 关 键 词： | 拟线性椭圆方程 间断系数 弱解 正则性. |
| 收稿时间： | 2006/9/20 0:00:00 |
| 修稿时间： | 2007/5/24 0:00:00 |
The Regularity of the Weak Solutions for the $N$-Dimensional Quasilinear Elliptic Equations with Discontinuous Coefficients |
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| TAN Qi Jian and LENG Zhong Jian.The Regularity of the Weak Solutions for the $N$-Dimensional Quasilinear Elliptic Equations with Discontinuous Coefficients[J].Journal of Mathematical Research with Applications,2008,28(4):779-788. |
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| Authors: | TAN Qi Jian and LENG Zhong Jian |
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| Institution: | Department of Mathematics, Sichuan College of Education, Sichuan 610041, China;College of Mathematics, Sichuan University, Sichuan 610064, China |
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| Abstract: | The $n$-dimensional quasilinear elliptic equations with discontinuous coefficients are studied. Using estimate and difference approach methods, we prove that the first derivatives of the weak solutions are continuous in the sense of H\"{o}lder up to the inner boundary on which the coefficients are discontinuous. |
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| Keywords: | Quasilinear elliptic equation discontinuous coefficients weak solution regularity |
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