On the geometry of the $p$-Laplacian operator

Bernd Kawohl, Jiri Horák

The $p$-Laplacian operator ${\Delta }_{p}u=\mathrm{div}\left(|\nabla u{|}^{p-2}\nabla u\right)$ is not uniformly elliptic for any $p\in (1,2)\cup (2,\infty )$ and degenerates even more when $p\to \…