| 一类具有边界摄动的非线性泛函椭圆型方程奇摄动问题 |
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| 引用本文： | 吴钦宽,莫嘉琪. 一类具有边界摄动的非线性泛函椭圆型方程奇摄动问题[J]. 应用泛函分析学报, 2004, 6(2): 122-127 |
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| 作者姓名： | 吴钦宽 莫嘉琪 |
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| 作者单位： | 1. 南京工程学院基础部,江苏,南京,210013
2. 湖州师范学院数学系,浙江,湖州,313000 |
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| 基金项目： | Supported by importantstudy project of The National Natural Science Foundation of Chi-na (90 2 110 0 4 ) |
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| 摘 要： | 研究了具有边界摄动的非线性泛函椭圆型方程奇摄动边值问题．在适当的条件下．利用伸长变量、微分不等式理论，讨论了问题解的渐近性态和原问题解的存在唯一性。
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| 关 键 词： | 边界摄动 非线性泛函椭圆型方程 奇摄动 边值问题 伸长变量 微分不等式 |
The Nonlinear Functional Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation |
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| WU Qin-kuan,MO Jia-qi. The Nonlinear Functional Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation[J]. Acta Analysis Functionalis Applicata, 2004, 6(2): 122-127 |
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| Authors: | WU Qin-kuan MO Jia-qi |
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| Affiliation: | WU Qin-kuan~1,MO Jia-qi~2 1. Nanjing Institute of Technogy,Nanjing 210013,China 2. Huzhou Teachers College,Huzhou 313000,China |
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| Abstract: | The nonlinear functional for singularly perturbed boundary value problems for elliptic equation with boundary perturbation is considered. Under suitable conditions, using stretched variable, theory of differential inequalities the asymptotic behavior of solution for the boundary value problems is studied and the existence and uniqueness of solution for the original problem are discussed. |
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| Keywords: | nonlinear elliptic equation singular perturbation |
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