𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Optimal boundary holes for the Sobolev trace constant

✍ Scribed by Leandro Del Pezzo; Julián Fernández Bonder; Wladimir Neves


Book ID
113699147
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
261 KB
Volume
251
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


The best Sobolev trace constant in a dom
✍ Julián Fernández Bonder; Rafael Orive; Julio D. Rossi 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 219 KB

In this paper we study homogenization problems for the best constant for the Sobolev trace embedding W 1, p (Ω ) → L q (∂Ω ) 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