Homogenization of the Neumann problem for a quasilinear elliptic equation in a perforated domain
β Scribed by Sango, Mamadou
- Book ID
- 120303395
- Publisher
- American Institute of Mathematical Sciences
- Year
- 2010
- Tongue
- English
- Weight
- 317 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1556-1801
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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
The existence and uniqueness of a weak solution of a Neumann problem is discussed for a second-order quasilinear elliptic equation in a divergence form. The note is a continuation of a recent paper, where mixed boundary value problems were considered, which guaranteed the coerciveness of the problem