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

M. Chmara, J. Maksymiuk

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…