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Zbl 1020.35011
Sango, Mamadou
Homogenization of the Dirichlet problem for a system of quasilinear elliptic equations in a domain with fine-grained boundary.
(English)
[J] Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No.2, 183-212 (2003). ISSN 0294-1449

The author studies the asymptotic behavior of a Dirichlet problem for a system of nonlinear elliptic equations in a domain with holes and zero Dirichlet condition on the boundary of holes. The convergence of the solutions in a suitable space is proved and the limit problem is characterized by capacitary methods.
[Marco Biroli (Monza)]
MSC 2000:
*35B27 Homogenization, etc.
35J55 Systems of elliptic equations, boundary value problems
35J60 Nonlinear elliptic equations
35J65 (Nonlinear) BVP for (non)linear elliptic equations

Keywords: limit problem; capacitary methods

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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