POINCAR(E) INEQUALITIES IN WEIGHTED SOBOLEV SPACES

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POINCAR(E) INEQUALITIES IN WEIGHTED SOBOLEV SPACES

The weighted Poincaré inequalities in weighted Sobolev spaces are discussed,and the necessary and sufficient conditions for them to hold are given. That is, the natural embedding of weighted Sobolev spaces is less than 1.

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作 者: WANG Wan-yi SUN Jiong ZHENG Zhi-ming  
作者单位:WANG Wan-yi(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)水利论文 f:C*~y7q@/I'] Iy
SUN Jiong(Department of Mathematics, Inner Mongolia University, Huhhot 010021, P.R.China)水利论文5aM6It.w
ZHENG Zhi-ming(School of Mathematical Sciences, Beijing University, Beijing 100871, P.R.China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2006 27(1) 
分类号:O177 
关键词:weighted sobolev spaces   Poincaré inequalities   embeddings  
机标关键词:weighted Sobolev spacessufficient conditions 
基金项目:中国科学院资助项目,the Visiting Scholar Foundation of Key Laboratory of University,the Natural Science Foundation of the Inner Mongolia Autonomous Region of China 
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