Geodesic
Averaging in a~perforated domain with an~oscillating third boundary condition
Sbornik. Mathematics, Tome 192 (2001) no. 7, pp. 933-949

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We study an example averaging problem for a second-order elliptic equation in a periodically perforated domain with a third boundary condition (Fourier condition) on the boundary of the holes. Under the assumption that the coefficients of the boundary operator are bounded and the corresponding averages are small we construct the leading terms of the asymptotic expansion of the solution and estimate the error. 
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     author = {A. G. Belyaev and A. L. Piatnitski and G. A. Chechkin},
     title = {Averaging in a~perforated domain with an~oscillating third boundary condition},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2001_192_7_a0/}
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A. G. Belyaev; A. L. Piatnitski; G. A. Chechkin. Averaging in a~perforated domain with an~oscillating third boundary condition. Sbornik. Mathematics, Tome 192 (2001) no. 7, pp. 933-949. http://geodesic.mathdoc.fr/item/SM_2001_192_7_a0/