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Solvability of the Dirichlet problem for quasi-linear elliptic systems with identical principal parts in unbounded domains in a class of bounded functions

โœ Scribed by A. P. Oskolkov


Publisher
Springer US
Year
1973
Tongue
English
Weight
390 KB
Volume
1
Category
Article
ISSN
1573-8795

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Homogenization of the Dirichlet problem
โœ Mamadou Sango ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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