A proof of Hessian Sobolev inequality
β Scribed by Shuxuan Li
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 257 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
Let N 5, a > 0, be a smooth bounded domain in We prove there exists an Ξ± 0 > 0 such that, for all u β H 1 ( )
Nous donnons ici une dtmonstration nouvelle, trts courte, de I'iGgaliti de Fisher, qui gCntralise un rCsultat bien connu de de Bruijn et ErdGs. Cette dtmonstration utilise essentiellement une id&e de Tverberg (1982) pour dt-montrer un autre tnonct combinatoire. We prove the following result.
We give an alternative proof of a theorem by Brothers and Ziemer concerning extremal functions in the PΓ³lya-SzegΓΆ rearrangements inequality for Dirichlet type integrals.