Let be a smooth bounded domain in R N with 0 โ and let p โ (1; โ)\{N }. By a classical inequality of Hardy we have |โv| p ยฟ c \* p; N |v| p =|x| p , for all 0 = v โ W 1;p 0 ( \{0}), with c \* p; N = |(N -p)=p| p being the best constant in this inequality. More generally, for ร โ C( ) such that ร ยฟ 0
Minimization problems related to generalized Hardy's inequalities
โ Scribed by F. Colin; Y. Hupperts
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 148 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
The aim of this paper is to consider Hardy's inequality with weight on unbounded domains. In particular, using decomposition of minimizing sequences, we study the existence of a minimizer for
๐ SIMILAR VOLUMES
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