| 带强迫项的二阶非线性椭圆方程的区域振动准则 |
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| 引用本文： | 庄容坤,姚正安.带强迫项的二阶非线性椭圆方程的区域振动准则[J].数学物理学报(A辑),2007,27(5):855-861. |
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| 作者姓名： | 庄容坤 姚正安 |
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| 作者单位： | 中山大学数学系，惠州学院数学系 惠州 516015，中山大学数学系 广州 510275，广州 510275 |
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| 摘 要： | 对二阶非线性椭圆型方程∑ i,j=1n DiAij(x)Djy]+∑i=1n bi(x)Diy+q(x)f(y)=e(x)建立了若干新的振动准则, 所得结果仅依赖于方程在外区域Ω С Rn的一个子区域序列的信息而有别于已知的大多数结论.
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| 关 键 词： | 二阶非线性椭圆型方程 强迫项 振动性 区域准则 |
| 文章编号： | 1003-3998（2007）05-855-07 |
| 收稿时间： | 2005-01-10 |
| 修稿时间： | 2005-01-10 |
Domain Oscillation Criteria for a Forced Second Order Elliptic Differential Equations |
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| Zhuang Rongkun,Yao Zhengan.Domain Oscillation Criteria for a Forced Second Order Elliptic Differential Equations[J].Acta Mathematica Scientia,2007,27(5):855-861. |
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| Authors: | Zhuang Rongkun Yao Zhengan |
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| Institution: | Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275 |
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| Abstract: | In this paper, new oscillation criteria are obtained for nonlinear elliptic differential equations of the form∑ i,j=1n DiAij(x)Djy]+∑i=1n bi(x)Diy+q(x)f(y)=e(x)where x∈ Rn. These criteria are only based on the information of a sequence of subdomain of Ω С Rnand different from most known ones. |
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| Keywords: | Second order nonlinear elliptic equation Forcing term Oscillation Domain criteria |
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