  In this paper, we study two classes of Kirchhoff type problems set on a
double phase framework. That is, the functional space where finding solutions
coincides with the Musielak-Orlicz-Sobolev space $W^{1,\mathcal H}_0(\Omega)$,
with modular function $\mathcal H$ related to the so called double phase
operator. Via a variational approach, we provide existence and multiplicity
results.
