Ambrosetti A., Rabinowitz P.H.; Dual variational methods in critical point theory and applications, J. Funct. Anal. 14, 1973, pp. 349–381. Barna´s S.; Existence result for hemivariational inequality involving p(x)-Laplacian, Opuscula Mathematica 32, 2012, pp. 439–454. Chang K.C.; Critical Point Theory and Applications, Shanghai Scientific and Technology Press, Shanghai 1996. Chang K.C.; Variational methods for nondifferentiable functionals and their applications to partial differential equations, J. Math. Anal. Appl. 80, 1981, pp. 102–129. Clarke F.H.; Optimization and Nonsmooth Analysis, Wiley, New York 1993. D’Agu`ı G., Bisci G.M.; Infinitely many solutions for perturbed hemivariational inequalities, Bound. Value Probl., 2010, pp. 1–15. Dai G.; Infinitely many solutions for a hemivariational inequality involving the p(x)-Laplacian, Nonlinear Anal. 71, 2009, pp. 186–195. Fan X.L., Zhang Q.H.; Existence of solutions for p(x)-Laplacian Dirichlet problem, Nonlinear Anal. 52, 2003, pp. 1843–1852. Fan X.L., Zhang Q.H., Zhao D.; Eigenvalues of p(x)-Laplacian Dirichlet problem, J. Math. Anal. Appl. 302, 2005, pp. 306–317. Fan X.L., Zhao D.; On the generalized Orlicz–Sobolev space Wk,p(x)(), J. Gansu Educ. College 12(1), 1998, pp. 1–6. Fan X.L., Zhao D.; On the spaces Lp(x)() and Wm,p(x)(), J. Math. Anal. Appl. 263, 2001, pp. 424–446. Gasi´nski L.; Existence and multiplicity results for quasilinear hemivariational inequalities at resonance, Mathematische Nachrichten 281(12), 2008, pp. 1728–1746. Gasi´nski L., Papageorgiou N.S.; Solutions and multiple solutions for quasilinear hemi- variational inequalities at resonance, Proc. Roy. Soc. Edinb. 131A:5, 2001, pp. 1091– 1111. Gasi´nski L., Papageorgiou N.S.; Nonlinear Analysis: Volume 9, Series in Mathematical Analysis and Applications, 2005. Gasi´nski L., Papageorgiou N.S.; Anisotropic nonlinear Neumann problems, Calculus of Variations and Partial Differential Equations 42, 2011, pp. 323–354. Ge B., Xue X.; Multiple solutions for inequality Dirichlet problems by the p(x)- Laplacian, Nonlinear Anal. 11, 2010, pp. 3198–3210. Hu S., Papageorgiou N.S.; Handbook of multivalued analysis. Volume 1: Theory, Kluver, Dordrecht, The Netherlands 1997. Kourogenic N., Papageorgiou N.S.; Nonsmooth critical point theory and nonlinear elliptic equations at resonance, J. Aust. Math. Soc. 69, 2000, pp. 245–271. Kov´aˇcik O., R´akosnik J.; On Spaces Lp(x) and W1,p(x), Czechoslovak Math. J. 41, 1991, pp. 592–618. Marano S.A., Bisci G.M., Motreanu D.; Multiple solutions for a class of elliptic hemivariational inequalities, J. Math. Anal. Appl. 337, 2008, pp. 85–97. Motreanu D., Panagiotopoulos P.D.; Minimax theorems and qualitative properties of the solutions of hemivariational inequalities: Volume 29, Nonconvex Optimization and its Applications, Kluwer Academic Publishers, Dordrecht 1999. Motreanu D., Radulescu V.; Variational and nonvariational methods in nonlinear analysis and boundary value problems: Volume 67, Nonconvex Optimization and its Applications, Kluwer Academic Publishers, Dordrecht 2003. Naniewicz Z., Panagiotopoulos P.D.; Mathematical theory of hemivariational inequalities and applications, Marcel-Dekker, New York 1995. Qian Ch., Zhen Z.; Existence and multiplicity of solutions for p(x)-Laplacian equation with nonsmooth potential, Nonlinear Anal. 11, 2010, pp. 106–116. Qian Ch., Shen Z., Yang M.; Existence of solutions for p(x)-Laplacian nonhomogeneous Neumann problems with indefinite weight, Nonlinear Anal. 11, 2010, pp. 446– 458. Radulescu V.; Mountain pass type theorems for non-differentiable functions and applications, Proc. Japan Acad. 69A, 1993, pp. 193–198. Ruˇziˇcka M.; Electrorheological Fluids: Modelling and Mathematical Theory, Springer-Verlag, Berlin 2000.