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Traces of functions with summable gradient in a domain with a peak summit on the boundary

✍ Scribed by V. G. Maz'ya; S. V. Poborchii


Publisher
SP MAIK Nauka/Interperiodica
Year
1989
Tongue
English
Weight
414 KB
Volume
45
Category
Article
ISSN
0001-4346

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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