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| POINCARE INEQUALITIES IN WEIGHTED SOBOLEV SPACES | |
| 作者姓名： | 王万义 孙炯 郑志明 |
| 作者单位： | Department of Mathematics，Department of Mathematics，School of Mathematical Sciences Inner Mongolia University，Huhhot 010021，P.R.China Department of Mathematics，Inner Mongolia Normal University，Huhhot 010022，P.R.China School of Mathematical Sciences，Beijing University，Beijing 100871，P.R.China，Inner Mongolia University，Huhhot 010021，P.R.China，Beijing University，Beijing 100871，P.R.China |
| 摘 要： | The weighted Poincaréinequalities in weighted Sobolev spaces are discussed, and the necessary and sufficient conditions for them to hold are given.That is,the Poincaréinequalities hold if,and only if,the ball measure of non-compactness of the natural embedding of weighted Sobolev spaces is less than 1. |
| 关 键 词： | Poincaré inequalities |
| 收稿时间： | 2003-02-25 |
| 修稿时间： | 2005-08-23 |
Poincaré inequalities in weighted Sobolev spaces |
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| Wan-yi Wang,Jiong Sun,Zhi-ming Zheng.POINCARE INEQUALITIES IN WEIGHTED SOBOLEV SPACES[J].Applied Mathematics and Mechanics(English Edition),2006,27(1):125-132. | |
| Authors: | Wan-yi Wang Jiong Sun Zhi-ming Zheng |
| Institution: | 1. Department of Mathematics, Inner Mongolia University, Huhhot 010021, P.R.China;Department of Mathematics, Inner Mongolia Normal University, Huhhot 010022, P.R.China;School of Mathematical Sciences, Beijing University, Beijing 100871, P.R.China 2. Department of Mathematics, Inner Mongolia University, Huhhot 010021, P.R.China 3. School of Mathematical Sciences, Beijing University, Beijing 100871, P.R.China |
| Abstract: | The weighted Poincare inequalities in weighted Sobolev spaces are discussed, and the necessary and sufficient conditions for them to hold are given. That is, the Poincare inequalities hold if, and only if, the ball measure of non-compactness of the natural embedding of weighted Sobolev spaces is less than 1. |
| Keywords: | weighted sobolev spaces Poincar inequalities embeddings |
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