Some qualitative properties of Finsler \(p\)-Laplacian (Q1678015)

The aim of this note is to generalize some results available for the isotropic case to the anisotropic \(p\)-Laplacian, called also the Finsler \(p\)-Laplacian. Indeed, the authors provide some qualitative properties such as a Liouville theorem, a Hardy inequality, a comparison principle for sub and super solutions, and a weighted Poincaré inequality. They start by generalizing the Picone identity in the nonlinear setting and then use it to study various properties related to the Finsler \(p\)-Laplace operator.