| 一类含梯度项的二阶半线性椭圆型方程的爆炸解 |
| |
| 引用本文： | 唐仲伟,萧礼.一类含梯度项的二阶半线性椭圆型方程的爆炸解[J].应用数学学报,2004,27(2):274-280. |
| |
| 作者姓名： | 唐仲伟 萧礼 |
| |
| 作者单位： | 1. 中国科学院数学与系统科学研究院,北京,100080
2. 西北师范大学数学与信息科学学院,兰州,730070 |
| |
| 摘 要： | 本文运用非线性变换、摄动方法结合上、下解方法得到了一类含梯度项的二阶半线性椭圆型方程爆炸解的存在性．
|
| 关 键 词： | 半线性椭圆型方程 爆炸解 边界条件 黎曼曲面 |
EXPLOSIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC EQUTIONS OF SECOND ORDER WITH GRADIENT |
| |
| TANG ZHONGWEI Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing XIAO LI College of Mathematics and Information,Northwest Normal University,Lanzhou.EXPLOSIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC EQUTIONS OF SECOND ORDER WITH GRADIENT[J].Acta Mathematicae Applicatae Sinica,2004,27(2):274-280. |
| |
| Authors: | TANG ZHONGWEI Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing XIAO LI College of Mathematics and Information Northwest Normal University Lanzhou |
| |
| Institution: | TANG ZHONGWEI Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080 XIAO LI College of Mathematics and Information,Northwest Normal University,Lanzhou 730070 |
| |
| Abstract: | In present paper, The existence of explosive solutions to a class of semilinear
elliptic equations is obtained in bounded domain by the change of varible and the pertrubed
method combining sub--supersolutions method. |
| |
| Keywords: | Semilinear elliptic equationm explosive solution existence |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
