Abstract
In this article we consider differential inclusion problem involving the p(x)-Kirchhoff-type. Applying a version of the nonsmooth three critical points theorem we obtain the existence of three solutions of the problem in .
Acknowledgements
Supported by the National Science Fund (grant nos. 10971043, 11001063), the Fundamental Research Funds for the Central Universities (no. HEUCF20111134), Heilongjiang Province Foundation for Distinguished Young Scholars (no. JC200810), Program of Excellent Team in Harbin Institute of Technology and the Natural Science Foundation of Heilongjiang Province (no. A200803).