Some qualitative properties of Finsler p-Laplacian

The Finsler p-Laplacian is the class of nonlinear differential operators given by ΔH,pu≔div(H(∇u)p−1∇ηH(∇u))where p>1, H:Rn→[0,∞) is a convex function which is in C1(Rn∖{0}) and is positively homogeneous of degree 1. In this article we provide a comparison principle, weighted Poincare Inequality, Liouville Theorem and Hardy type inequality for the Finsler p-Laplacian.