加权Sobolev空间中的Poincaré不等式

基金项目: 国家自然科学基金资助项目(10261004,10461006);高校重点实验室访问学者基金;内蒙古自治区自然科学基金资助项目(200408020104)

Poincaré Inequalities in Weighted Sobolev Spaces

Deptartment of Mathematics, Inner Mongolia University, Huhhot 010021, P. R. China;

摘要: 在加权Sobolov空间中讨论了加权的Poincaré不等式,利用嵌入映射给出了加权Poincaré不等式成立的充分和必要条件．
- 加权的Sobolev空间 /
- Poincaré不等式 /
- 嵌入映射
Abstract: The weighted Poincar inequalities in weighted Sobolev spaces were discussed and some necessary and sufficient conditions for them to hold were given.
- weighted Sobolev spaces /
- Poincar inequality /
- embedding

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