The logarithmic $p$-Laplacian on hyperbolic spaces

Jorge J. Betancor, Lourdes Rodr\'ıguez-Mesa

In this paper, the logarithmic $p$-Laplacian operator $\log (-{\Delta }_{{\mathbb{H}}^n}{)}_p$ on the hyperbolic space ${\mathbb{H}}^n$, with $n\ge 2$, is introduced. We prove that if $f$ is a l…