The best Sobolev trace constant in a dom
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Julián Fernández Bonder; Rafael Orive; Julio D. Rossi
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Article
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2007
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Elsevier Science
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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