| 一类高阶拟线性椭圆型方程奇摄动边值问题 |
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| 引用本文： | 莫嘉琪,朱江. 一类高阶拟线性椭圆型方程奇摄动边值问题[J]. 应用数学, 2003, 16(3): 94-98 |
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| 作者姓名： | 莫嘉琪 朱江 |
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| 作者单位： | 1. 湖州师范学院,湖州,313000
2. 中国科学院大气物理研究所,北京,100029 |
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| 基金项目： | SupportedbytheimportantstudyprojectoftheNationalNaturalScienceFoundationofChina(GrantNo90 2110 0 4),andbythe”HundredTalentsProject”ofChineseAcademyofSciences |
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| 摘 要： | 本文讨论了一类拟线性椭圆型方程奇摄动Dirichlet边值问题．在适当的条件下，利用不动点定理，研究了边值问题解的存在唯一性及其渐近性态．
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| 关 键 词： | 拟线性椭圆型方程 奇摄动 Dirichlet边值问题 不动点定理 解 存在性 唯一性 渐近性 |
A Class of Singularly Perturbed Boundary Value Problems for Quasilinear Elliptic Equation of Higher Order |
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| MO Jia qi,ZHU Jiang. A Class of Singularly Perturbed Boundary Value Problems for Quasilinear Elliptic Equation of Higher Order[J]. Mathematica Applicata, 2003, 16(3): 94-98 |
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| Authors: | MO Jia qi ZHU Jiang |
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| Abstract: | A class of singularly perturbed boundary value problems for the quasilinear elliptic equation of higher order are considered.Under suitable conditions and by using the fixed point theorem the existence,uniqueness and asymptotic behavior of solution for the boundary value problems are studied. |
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| Keywords: | Elliptic equaiton Singular perturbation Fixed point theorem |
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