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This paper is concerned with the existence of a nonnegative ground statesolution of the following quasilinear Schr\"{o}dinger equation\begin{equation*} \begin{split}  -\Delta_{H,p}u+V(x)|u|^{p-2}u-\Delta_{H,p}(|u|^{2\alpha})|u|^{2\alpha-2}u=\lambda |u|^{q-1}u \text{ in }\;R^n;\;  u\in W^{1,p}(\;R^n)\cap L^\infty(\;R^N) \end{split} \end{equation*} where$N\geq2$; $(\alpha,p)\in D_N=\{(x,y)\in \;R^2 : 2xy\geq y+1,\; y\geq2x,\;y<N\}$ and $\lambda>0$ is a parameter. The operator $\Delta_{H,p}$ is thereversible Finsler p-Laplacian operator with the function $H$ being theMinkowski norm on $\;R^N$. Under certain conditions on $V$, we establish theexistence of a non-trivial non-negative bounded ground state solution of theabove equation.

Ground state solutions for quasilinear Schrodinger type equation involving anisotropic p-laplacian