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Best constants in Sobolev trace inequalities

✍ Scribed by Rodney Josué Biezuner


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
163 KB
Volume
54
Category
Article
ISSN
0362-546X

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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