𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Optimal Hardy–Sobolev inequalities on compact Riemannian manifolds

✍ Scribed by Jaber, Hassan


Book ID
126821383
Publisher
Elsevier Science
Year
2015
Tongue
English
Weight
476 KB
Volume
421
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Optimal Sobolev Inequalities of Arbitrar
✍ Olivier Druet 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 341 KB

Let (M, g) be a smooth compact Riemannian N-manifold, N 2, let p # (1, N) real, and let H p 1 (M) be the Sobolev space of order p involving first derivatives of the functions. By the Sobolev embedding theorem, H p 1 (M)/L p\* (M) where p\*=NpÂ(N& p). Classically, this leads to some Sobolev inequalit