| 二阶非线性椭圆型微分方程振动的区域准则 |
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| 引用本文： | 庄容坤,王其如,朱思铭. 二阶非线性椭圆型微分方程振动的区域准则[J]. 数学学报, 2005, 48(3): 527-534. DOI: cnki:ISSN:0583-1431.0.2005-03-013 |
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| 作者姓名： | 庄容坤 王其如 朱思铭 |
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| 作者单位： | [1]中山大学数学系，广州510275／／惠州学院数学系，惠州516015 [2]中山大学数学系，广州510275 |
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| 基金项目： | 国家自然科学基金资助项目(11071097)广东省教育厅自然科学基金资助项目 |
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| 摘 要： | 本文对二阶非线性椭圆型方程∑i,jn=1Di[AijDjy]+q(x)f(y)=0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(?)Rn的一个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： | 非线性椭圆型微分方程 二阶 振动性 |
Domain Oscillation Criteria for Second Order Nonlinear Elliptic Differential Equations |
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| Rong Kun ZHUANG. Domain Oscillation Criteria for Second Order Nonlinear Elliptic Differential Equations[J]. Acta Mathematica Sinica, 2005, 48(3): 527-534. DOI: cnki:ISSN:0583-1431.0.2005-03-013 |
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| Authors: | Rong Kun ZHUANG |
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| Affiliation: | Rong Kun ZHUANG Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China Department of Mathematics, Huizhou University, Huizhou 516015, P. R. China Qi Ru WANG Si Ming ZHU Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China |
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| Abstract: | In this paper, new oscillation criteria are obtained for nonlinear elliptic differential equations of the form Σi,jn=1 Di[AijDjy] + q(x)f(y) = 0, where x ∈ Rn. These criteria are only based on the information of a sequence of subdomain of Ω (?) Rn and different from most known ones. |
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| Keywords: | Nonlinear elliptic differential equation Second order Oscillation |
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