Hardy Inequalities for Finsler p-Laplacian in the Exterior Domain

The Finsler p-Laplacian is the class of nonlinear differential operators given by Delta(H,p)u := div(H(del u)(p-1)del H-eta(del u)) where 1 < p < infinity and H : R-N -> [0, infinity) is in C-2(R-N\{0}) and is positively homogeneous of degree 1. Under some additional constraints on H, we derive the Hardy inequality for Finsler p-Laplacian in exterior domain for 1 < p <= N. We also provide an improved version of Hardy inequality for the case p = 2.