Geodesic
Homogenization of the~boundary-value problem for the~biharmonic equation in a~domain containing thin canals of small length
Sbornik. Mathematics, Tome 192 (2001) no. 10, pp. 1553-1585

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The present paper is devoted to homogenization of the boundary-value problem for the biharmonic equation in a planar domain containing thin canals of width $a_\varepsilon$ and of small length $\varepsilon^q$ $(q>0)$ situated $\varepsilon$-periodically along one of the coordinate axes. 
@article{SM_2001_192_10_a7,
     author = {T. A. Shaposhnikova},
     title = {Homogenization of the~boundary-value problem for the~biharmonic equation in a~domain containing thin canals of small length},
     journal = {Sbornik. Mathematics},
     pages = {1553--1585},
     publisher = {mathdoc},
     volume = {192},
     number = {10},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2001_192_10_a7/}
}
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T. A. Shaposhnikova. Homogenization of the~boundary-value problem for the~biharmonic equation in a~domain containing thin canals of small length. Sbornik. Mathematics, Tome 192 (2001) no. 10, pp. 1553-1585. http://geodesic.mathdoc.fr/item/SM_2001_192_10_a7/