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Homogenization in a thin domain with an oscillatory boundary

✍ Scribed by José M. Arrieta; Marcone C. Pereira

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
397 KB
Volume
96
Category
Article
ISSN
0021-7824

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Homogenization of the Dirichlet problem
Homogenization of the Dirichlet problem for a system of quasilinear elliptic equations in a domain with fine-grained boundary
✍ Mamadou Sango 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 211 KB

We study the Dirichlet problem for a system of nonlinear elliptic equations of Leray-Lions type in a sequence of domains (s) , s = 1, 2, . . ., with fine-grained boundaries. Under appropriate structure conditions on the system and the geometry of (s) , we prove that the sequence of solutions of the