%0 Journal Article %A S. E. Pastukhova %A D. A. Yakubovich %T Galerkin approximations for the Dirichlet problem with the $p(x)$-Laplacian %J Sbornik. Mathematics %D 2019 %P 145-164 %V 210 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_2019_210_1_a4/ %G en %F SM_2019_210_1_a4