| Nehari流形在一个拟线性方程组中的应用 |
| |
| 引用本文： | 杨国英,冯佳佳.Nehari流形在一个拟线性方程组中的应用[J].纯粹数学与应用数学,2013(1):66-74,105. |
| |
| 作者姓名： | 杨国英 冯佳佳 |
| |
| 作者单位： | 河南理工大学数学系,河南 焦作 454000 |
| |
| 基金项目： | 国家自然科学基金(11201124);河南省教育厅自然科学基金(12A110009) |
| |
| 摘 要： | 主要研究带有非齐次边界条件的拟线性椭圆方程组的正解问题,在合适参数条件下,用变分方法和流形方法得到该椭圆方程组正解的存在性和多解性.结论推广了近期发表的结果.
|
| 关 键 词： | Nehari流形 能量泛函 多重正解 |
The Nehari manifold and application to a qusilinear elliptic systems |
| |
| Yang Guoying,Feng Jiajia.The Nehari manifold and application to a qusilinear elliptic systems[J].Pure and Applied Mathematics,2013(1):66-74,105. |
| |
| Authors: | Yang Guoying Feng Jiajia |
| |
| Affiliation: | (Department of Mathematics,Henan Polytechnic University,Jiaozuo 454000,China) |
| |
| Abstract: | In this paper, A qusilinear elliptic systems with the homogeneous boundary condition were discussed The existence and multiple positive solutions under the proper region of parameters were obtained. The main method relies on the variational theory and Nehari manifold. Our results complement those derived in the recent works. |
| |
| Keywords: | Nehari manifold Euler manifold multiple positive solutions |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
