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Convergence of Eigenvalues and Eigenfunctions of Nonlinear Dirichlet Problems in Domains with Fine-Grain Boundary

✍ Scribed by I.V. Skrypnik; Yu.V. Namleeva


Book ID
111614189
Publisher
Springer
Year
2003
Tongue
English
Weight
210 KB
Volume
55
Category
Article
ISSN
0041-5995

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Homogenization of the Dirichlet problem
✍ Mamadou Sango πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 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