| 一类二阶椭圆偏微分方程的估计 |
| |
| 引用本文： | 徐金菊,孙霞.一类二阶椭圆偏微分方程的估计[J].德州学院学报,2006,22(6):83-85. |
| |
| 作者姓名： | 徐金菊 孙霞 |
| |
| 作者单位： | 1. 曲阜师范大学数学系,山东,曲阜,273165
2. 北京海淀区职工大学,北京,100083 |
| |
| 摘 要： | 在偏微分方程中,解的凸性的研究是一个有趣的问题,它反映了解的几何性质.Pinching-估计是一个重要的估计,也是研究解的凸性的一种重要方法,Pinching-估计主要来源于几何问题,把它在几何上的应用推广到半线性二阶椭圆偏微分方程,并且给出半线性二阶椭圆方程的Pinching-估计.
|
| 关 键 词： | 椭圆方程 pinching-估计 凸性 |
| 文章编号： | 1004-9444（2006）06-0083-03 |
| 收稿时间： | 2006-01-16 |
| 修稿时间： | 2006-05-16 |
Estimate for Some Second Order Elliptic Equations |
| |
| XU Jin-ju,SUN Xia.Estimate for Some Second Order Elliptic Equations[J].Journal of Dezhou University,2006,22(6):83-85. |
| |
| Authors: | XU Jin-ju SUN Xia |
| |
| Institution: | 1. Department of Mathematics,Qufu Normal University, Qufu Shandong 273165, China ; 2. Adult University of Haidian District, BeiJing 100083, China |
| |
| Abstract: | The study for the convexity of solutions in partial differential equations is very interesting. And it denoted the geometric property of the solutions. Pinching-estimate is an important estimate and also is one of the important methods for studying the convexity of the solutions. It is known that the Pinching-estimate is important in Geometry, and we apply it into partial differential equations. In this paper, we mainly give the Pinching-estimates for some semilinear second order elliptic equations. |
| |
| Keywords: | Elliptic equations pinching-estimate convexity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
