| 具有不定位势的渐近线性p-Laplacian Dirichlet问题 |
| |
| 引用本文： | 马草川,王亚平,孙小科,裴瑞昌.具有不定位势的渐近线性p-Laplacian Dirichlet问题[J].纯粹数学与应用数学,2012(4):501-506. |
| |
| 作者姓名： | 马草川 王亚平 孙小科 裴瑞昌 |
| |
| 作者单位： | 1. 天水师范学院数学与统计学院,甘肃天水741001
2. 天水市第一中学,甘肃天水741000 |
| |
| 基金项目： | 天水师范学院中青年教师科研资助项目(TSA0937) |
| |
| 摘 要： | 利用山路引理及极小作用原理,证明了当非线性项在无穷远处满足一定的渐近线性条件时,具有不定位势的渐近线性p-Laplacian Dirichlet问题,存在非平凡解.
|
| 关 键 词： | 非平凡解 渐近线性 Dirichlet问题 不定位势 |
Asymptotically linear p-Laplacian Dirichlet problem with indefinite weights |
| |
| Ma Caochuan,Wang Yaping,Sun Xiaoke,Pei Ruichang.Asymptotically linear p-Laplacian Dirichlet problem with indefinite weights[J].Pure and Applied Mathematics,2012(4):501-506. |
| |
| Authors: | Ma Caochuan Wang Yaping Sun Xiaoke Pei Ruichang |
| |
| Institution: | 1(1.School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,China;2.Tianshui No.1 Middle School,Tianshui 741000,China) |
| |
| Abstract: | By using mountain pass and the least action theorems,the existience of nontrivial solution is obtained for a class of asymptotically linear p-Laplacian Dirichlet problem with indefinite weights. |
| |
| Keywords: | nontrivial solution asymptotically linear Dirichlet problem indefinite weights |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
