In this paper, we study the existence of three solutions to the p(x)-Kirchhoff type
equations in RN: By means of nonsmooth three critical points theorem and the theory of the
variable exponent Sobolev spaces, we establish the existence of three critical points for the
problem. Moreover, we study the existence of three radially symmetric solutions for a class of
quasilinear elliptic inclusion problem with discontinuous nonlinearities in RN: Our approach
is based on critical point theory for locally Lipschitz functionals due to Iannizzotto.