1. Růžička M., "Electro-rheological Fluids: Modeling and Mathematical Theory", Lecture Notes in Math., vol. 1784, Springer-Verlag, Berlin (2000). 2. Zhikov V. V., "Averaging of functionals of the calculus of variations and elasticity theory", Math. USSR. Izv., 29 (1987) 33-66. 3. Allaoui M., El Amrouss A. R., Ourraoui A., "Existence and multiplicity of solutions for a Steklov problem involving the p(x)-Laplace operator", Electron. J. Differential Equations, 132 (2012) 1-12. 4. Bonanno G., Chinnì A., "Discontinuous elliptic problems involving the p(x)-Laplacian", Math. Nachr., 284 (2011) 639-652. 5. Bonanno G., Chinnì A., "Multiple solutions for elliptic problems involving the p(x)-Laplacian", Matematiche (Catania), 66 (2011) 105-113. 6. Bonanno G., Chinnì A., "Existence results of infinitely many solutions for p(x)-Laplacian elliptic Dirichlet problems", Complex Var. Elliptic Equ., 57 (2012) 1233-1246. 7. Cammaroto F., Chinnì A., Di Bella B., "Multiple solutions for a Neumann problem involving the p(x)-Laplacian", Nonlinear Anal., 71 (2009) 4486-4492. 8. D’Aguì G., Sciammetta A., "Infinitely many solutions to elliptic problems with variable exponent and nonhomogeneous Neumann conditions", Nonlinear Anal., 75 (2012) 5612-5619. 9. Dai G., "Infinitely many non-negative solutions for a Dirichlet problem involving p(x)-Laplacian", Nonlinear Anal., 71 (2009) 5840-5849. 10. Fan X.L., Deng S.-G., "Remarks on Ricceri’s variational principle and applications to the p(x)-Laplacian equations", Nonlinear Anal., 67 (2007) 3064-3075. 11. Fan X.L., Han X., "Existence and multiplicity of solutions for p(x)-Laplacian equations in R^N", Nonlinear Anal., 59 (2004) 173-188. 12. Fan X.L., Zhang Q.H., "Existence of solutions for p(x)-Laplacian Dirichlet problem", Nonlinear Anal., 52 (2003) 1843-1852. 13. Harjulehto P., Hästö P., Latvala V., "Minimizers of the variable exponent, non-uniformly convex Dirichlet energy", J. Math. Pures Appl., 89 (2008) 174-197. 14. Ji C., "Remarks on the existence of three solutions for the p(x)-Laplacian equations", Nonlinear Anal., 74 (2011) 2908-2915. 15. Ricceri B., "A general variational principle and some of its applications", J. Comput. Appl. Math., 113 (2000) 401-410. 16. Bonanno G., Molica Bisci G., "Infinitely many solutions for a boundary value problem with discontinuous nonlinearities", Bound. Value Probl., 2009 (2009) 1-20. 17. Mavinga N., Nkashama M.N., "Steklov spectrum and nonresonance for elliptic equations with nonlinear boundary conditions", Electron. J. Differential Equations, Conf., 19 (2010) pp. 197-205. 18. Bonanno G., "A critical point theorem via the Ekeland variational principle", Nonlinear Anal., 75 (2012) 2992-3007. 19. Bonanno G., Candito P., "Infinitely many solutions for a class of discrete non-linear boundary value problems", Appl. Anal., 88 (2009) 605-616. 20. Bonanno G., Di Bella B., "Infinitely many solutions for a fourth-order elastic beam equation", NoDEA Nonlinear Differential Equations Appl., 18 (2011) 357-368. 21. Drábek P., Milota J., "Methods of Nonlinear Analysis: Applications to Differential Equations", in: Birkhäuser Advanced Texts, Birkhäuser, Basel, (2007). 22. Fan X. L., Zhao D., "On the spaces L^(p(x)) (Ω) and W^(m,p(x)) (Ω)", J. Math. Anal. Appl., 263 (2001) 424-446. 23. Kováčik O., Rákosník J., "On spaces L^(p(x)) and W^(k,p(x))", Czechoslovak Math. J., 41 (1991) 592-618. 24. Anello G., Cordaro G., "An existence theorem for the Neumann problem involving the p-Laplacian", J. Convex Anal., 10 (2003) 185-198. 25. Fan X. L., Shen J.S., Zhao D., "Sobolev embedding theorems for spaces W^(k,p(x)) (Ω)", J. Math. Anal. Appl., 262 (2001) 749-760. 26. Zeidler E., "Nonlinear Functional Analysis and its Applications", Berlin-Heidelberg-New York, 1985.
Mathematical Research