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In this paper, we deal with the existence of multiple nontrivial solutions for the following fractionalp   $p$   -Laplacian Kirchhoff problems(∬R2  N|   u  (  x  )  −  u  (  y  )    |    p|   x  −  y    |    N  +  p  sd   x   d   y    )    θ  −  1    (  −  Δ    )  p  s    u  =  λ   |   u    |    θ  p  −  2    u+   |   u    |p  s  ∗   −  2    u  in        Ω  ,u  =  0in      R    N   ∖  Ω  ,$$  \displaystyle\left\{ \begin{array}{ll}  &amp;\Bigr( \displaystyle\iint_{{\mathbb R}^{2N}}\frac{|u(x)-u(y)|^{p}}{|x-y|^{N  +ps}}\mathrm{d}x\mathrm{d}y\Bigr)^{\theta-1}(-\Delta)^s_p u = \lambda |u|^{\theta p-2}u \vspace{.2cm}\\  &amp;\quad+ |u|^{p_s^*-2}u \hfill \hbox{in}\ \ \Omega ,  \vspace{.2cm}\\ &amp;u = 0 \hfill \qquad\qquad\quad\hbox{in}\ \ {\mathbb R}^N\setminus\Omega, \end{array} \right. $$

Multiplicity Results for Degenerate Fractional p $\boldsymbol{p}$ -Laplacian Problems with Critical Growth