(1)
Mizuta, Y.; Ohno, T.; Shimomuraand, T.; Shioji, N. 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. Ann. Fenn. Math. 2010, 35, 115-130.