  We consider the following $(p, q)$-Laplacian Kirchhoff type problem
\begin{align*} \begin{split} &-\left(a+b\int_{\mathbb{R}^{3}}|\nabla u|^{p}\,
dx \right)\Delta_{p}u - \left(c+d\int_{\mathbb{R}^{3}}|\nabla u|^{q}\, dx
\right ) \Delta_{q}u
  + V(x) (|u|^{p-2}u + |u|^{q-2}u)= K(x) f(u) \quad \mbox{ in } \mathbb{R}^{3},
\end{split} \end{align*} where $a, b, c, d>0$ are constants, $\frac{3}{2}< p<
q<3$, $V: \mathbb{R}^{3}\rightarrow \mathbb{R}$ and $K:
\mathbb{R}^{3}\rightarrow \mathbb{R}$ are positive continuous functions allowed
vanishing behavior at infinity, and $f$ is a continuous function with
quasicritical growth. Using a minimization argument and a quantitative
deformation lemma we establish the existence of nodal solutions.
