The Finsler
p-Laplacian is the class of nonlinear differential operators given by
$$\begin{aligned} \Delta _{H,p}u:= \text {div}(H(\nabla u)^{p-1}\nabla _{\eta } H(\nabla u)) \end{aligned}$$
where
\(1<p<\infty \) and
\(H:\mathbf {R}^N\rightarrow 0,\infty )\) is in
\(C^2(\mathbf {R}^N\backslash \{0\})\) and is positively homogeneous of degree 1. Under some additional constraints on
H, we derive the Hardy inequality for Finsler
p-Laplacian in exterior domain for
\(1<p\le N\). We also provide an improved version of Hardy inequality for the case
\(p=2\).