Do you know some interpretation or practical application of one-dimensional p-Laplacian systems (which is also an example of Euler-Lagrange system)$ \frac{d}{dt}(|\dot u(t)|^{p-2}\dot u(t))=\nabla W(t,u(t)), $ where $\nabla W(t,u)$ is the gradient $W$ in $u$, $t\in\mathbb{R}$, $u\in\mathbb{R}^N$. Or even more general system $ \frac{d}{dt} \nabla G(\dot{u}(t))=\nabla W(t,u(t)), $ where $G$ is some convex, $C^1$ function?
We know that in pde's one practical application is image denoising Intuition and applications for the p-Laplacian
