| 含非线性凸函数的椭圆方程的多解存在性 |
| |
| 引用本文： | 戴清平, 徐本龙.含非线性凸函数的椭圆方程的多解存在性[J].上海师范大学学报(自然科学版),2010,39(1):24-29. |
| |
| 作者姓名： | 戴清平 徐本龙 |
| |
| 作者单位： | 上海师范大学数理学院,上海,200234 |
| |
| 基金项目： | Supported by the Science Foundation of Shanghai Municipal Education Commission(No 06DZ004); Innovational Program of Shanghai Normal University. |
| |
| 摘 要： | 研究含非线性凸函数的椭圆方程的狄利克雷边值问题．应用直接和Nehari—type的变分方法，得到多解存在性结果．
|
| 关 键 词： | 半线性椭圆方程 多解 Nehari变分方法 |
Multiplicity of positive solutions for elliptic equations with convex nonlinearity |
| |
| DAI Qing-ping,XU Ben-long.Multiplicity of positive solutions for elliptic equations with convex nonlinearity[J].Journal of Shanghai Normal University(Natural Sciences),2010,39(1):24-29. |
| |
| Authors: | DAI Qing-ping XU Ben-long |
| |
| Institution: | DAI Qing-ping,XU Ben-long (Mathematics , Science College,Shanghai Normal University,Shanghai 200234,China) |
| |
| Abstract: | This work is concerned with semilinear elliptic equation subject to homogeneous Dirichlet boundary conditions.By using Direct and Nehari-type variational method,we get some multiplicity results of positive solutions. |
| |
| Keywords: | semilinear elliptic equations multiplicity of solutions Nehari variational method |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《上海师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《上海师范大学学报(自然科学版)》下载免费的PDF全文 |
