In this paper we find estimates for the optimal constant in the critical Sobolev trace inequality λ 1 (Ω ) u L 1 (∂Ω ) ≤ u W 1,1 (Ω ) that are independent of Ω . These estimates generalize those of [J. Fernandez Bonder, N. Saintier, Estimates for the Sobolev trace constant with critical exponent and
✦ LIBER ✦
Regularity of the Free Boundary in an Optimization Problem Related to the Best Sobolev Trace Constant
✍ Scribed by Bonder, Julián Fernández; Rossi, Julio D.; Wolanski, Noemi
- Book ID
- 118205573
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2005
- Tongue
- English
- Weight
- 250 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0363-0129
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