𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Best constant in Sobolev trace inequalities on the half-space

✍ Scribed by Bruno Nazaret


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
181 KB
Volume
65
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The best Sobolev trace constant in a dom
✍ JuliΓ‘n FernΓ‘ndez Bonder; Rafael Orive; Julio D. Rossi πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 219 KB

In this paper we study homogenization problems for the best constant for the Sobolev trace embedding W 1, p (Ω ) β†’ L q (βˆ‚β„¦ ) in a bounded smooth domain when the boundary is perturbed by adding an oscillation. We find that there exists a critical size of the amplitude of the oscillations for which th