| 高阶半线性椭圆型方程奇摄动广义Dirichlet边值问题 |
| |
| 引用本文： | 莫嘉琪.高阶半线性椭圆型方程奇摄动广义Dirichlet边值问题[J].数学进展,2006,35(1):75-81. |
| |
| 作者姓名： | 莫嘉琪 |
| |
| 作者单位： | 湖州师范学院数学系,湖州,浙江,313000 |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China(No.10471039)and the Natural Science Foundation of Zhejiang Province(No.Y604127) |
| |
| 摘 要： | 本文讨论了半线性椭圆型方程奇摄动广义边值问题,在适当的条件下研究了Dirichlet边值问题广义解的存在唯一性及其渐近性态。
|
| 关 键 词： | 椭圆型方程 奇异摄动 广义解 |
| 文章编号： | 1000-0917（2006）01-0075-07 |
| 收稿时间： | 2003-06-09 |
| 修稿时间： | 2003年6月9日 |
The Singularly Perturbed Generalized Dirichlet Problems for Semilinear Elliptic Equation of Higher Order |
| |
| MO Jia-qi.The Singularly Perturbed Generalized Dirichlet Problems for Semilinear Elliptic Equation of Higher Order[J].Advances in Mathematics,2006,35(1):75-81. |
| |
| Authors: | MO Jia-qi |
| |
| Institution: | Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang, 313000, P. R. China |
| |
| Abstract: | The singularly perturbed generalized boundary value problems for the semilinear elliptic equation of higher order are considered. Under suitable conditions, the existence, uniqueness and asymptotic behavior of generalized solution for the Dirichlet boundary value problems are studied. |
| |
| Keywords: | elliptic equation singular perturbation generalized solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
