Mountain pass solutions to Euler-Lagrange equations with general anisotropic operator

Using the Mountain Pass Theorem we show that the problem \begin{equation*} \begin{cases} \frac{d}{dt}$\mathcal{L}$_v(t,u(t),\dot u(t))=$\mathcal{L}$_x(t,u(t),\dot u(t))\quad $\text{ for a.e. }$t\in[a,b]\ u(a)=u(b)=0 \end{cases} \end{equation*} has a solution in anisotropic Orlicz-Sobolev space. We consider Lagrangian $\mathcal{L}=F(t,x,v)+V(t,x)+⟨f(t),x⟩$ with growth condition determined by anisotropic G-function and some geometric condition of Ambrosetti-Rabinowitz type.