| 与Gauss测度有关的椭圆方程比较结果中等号成立的条件 |
| |
| 引用本文： | 田玉娟,李风泉.与Gauss测度有关的椭圆方程比较结果中等号成立的条件[J].数学研究及应用,2010,30(5):761-774. |
| |
| 作者姓名： | 田玉娟 李风泉 |
| |
| 作者单位： | 大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024 |
| |
| 基金项目： | 中国国家自然科学基金 (Grant No.10401009),教育部新世纪优秀人才支持计划资助 (Grant No.060275). |
| |
| 摘 要： | In this paper, we deal with a Dirichlet problem for linear elliptic equations related to Gauss measure. For this problem, we study the converse of some inequalities proved by other authors, in the sense that we study the case of equalities and show that equalities are achieved only in the ＂symmetrized＂ situations. In addition, under other assumptions, we give a different form of comparison results and discuss the corresponding case of equalities.
|
| 关 键 词： | comparison results equalities rearrangements Gauss measure elliptic equation. |
| 收稿时间： | 2010/4/13 0:00:00 |
| 修稿时间： | 2010/5/28 0:00:00 |
On the Case of Equalities in Comparison Results for Elliptic Equations Related to Gauss Measure |
| |
| Yu Juan TIAN and Feng Quan LI.On the Case of Equalities in Comparison Results for Elliptic Equations Related to Gauss Measure[J].Journal of Mathematical Research with Applications,2010,30(5):761-774. |
| |
| Authors: | Yu Juan TIAN and Feng Quan LI |
| |
| Institution: | School of Mathematical Sciences,Dalian University of Technology,Liaoning 116024,P.R.China |
| |
| Abstract: | In this paper, we deal with a Dirichlet problem for linear elliptic equations related to Gauss measure. For this problem, we study the converse of some inequalities proved by other authors, in the sense that we study the case of equalities and show that equalities are achieved only in the ``symmetrized" situations. In addition, under other assumptions, we give a different form of comparison results and discuss the corresponding case of equalities. |
| |
| Keywords: | comparison results equalities rearrangements Gauss measure elliptic equation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
