%0 Journal Article %A Yoshihiro Mizuta %A Takao Ohno %A Tetsu Shimomuraand %A Naoki Shioji %T Compact embeddings for Sobolev spaces of variable exponents and existence of solutions for nonlinear elliptic problems involving the p(x)-Laplacian and its critical exponent %J Annales Fennici Mathematici %D 2010 %P 115-130 %V 35 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5186/aasfm.2010.3507/ %R 10.5186/aasfm.2010.3507 %G en %F AFM_2010_35_1_a6