Taking lim sup L Ä lim k Ä in both sides of (2.10), by (i), (2.8), (2.9), and the fact that lim k Ä \* k =1 we get a contradiction. Hence, , is not identically zero.
Poincaré inequalities in weighted Sobolev spaces
✍ Scribed by Wan-yi Wang; Jiong Sun; Zhi-ming Zheng
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 148 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0253-4827
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