| 一维p-laplace方程解的存在性 |
| |
| 引用本文： | 谭俊艳.一维p-laplace方程解的存在性[J].中国农业大学学报,2004,9(1):54-56. |
| |
| 作者姓名： | 谭俊艳 |
| |
| 作者单位： | 中国农业大学,理学院,北京,100083 |
| |
| 摘 要： | 利用时间-映射结合Leray—Shauder度的方法对一维p-laplace方程混合边值问题进行了研究。通过建立Leray-Shauder度引理，提出了一维p-laplace方程混合边值问题正解的存在性定理，并且证明了该定理的正确性。
|
| 关 键 词： | 一维p-laplace方程 混合边值 Leray-Shauder度引理 正解 存在性定理 时间-映射 |
| 文章编号： | 1007-4333(2004)01-0054-03 |
| 修稿时间： | 2003年6月5日 |
The existence of solutions of the one-dimensional p-laplace equation with mixed boundary value problem |
| |
| Tan Junyan.The existence of solutions of the one-dimensional p-laplace equation with mixed boundary value problem[J].Journal of China Agricultural University,2004,9(1):54-56. |
| |
| Authors: | Tan Junyan |
| |
| Abstract: | The Dirichlet problem of the one-dimensional p-laplace was studied extensively. Many scholars have proved the existence of the solution, the weak solution and the positive solution of the Dirichlet problem. But there is a little research about the one-dimensional p-laplace with the mixed boundary value problem. Using the method of time-mapping and Leray-Shauder degree to study the existence of solutions of the one-dimensional p-Laplace with the mixed boundary value condition was studied. From the lemma of Leray-Shauder degree the existence theory of the positive solution was put foward. The result indicated that the theory is correct. |
| |
| Keywords: | p-Laplace time-mapping mixing boundary value condition |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《中国农业大学学报》浏览原始摘要信息 |
| 点击此处可从《中国农业大学学报》下载免费的PDF全文 |
