I. Holopainen

collaborators

2 papers

math.AP2009

Global comparison principles for the $p$ -Laplace operator on Riemannian manifolds

Stefano Pigola, Giona Veronelli

We prove global comparison results for the $p$ -Laplacian on a $p$ -parabolic manifold. These involve both real-valued and vector-valued maps with finite $p$ -energy.

math.DG2006

p-Capacity and p-hyperbolicity of submanifolds

Ilkka Holopainen, Steen Markvorsen, Vicente Palmer

We use drifted Brownian motion in warped product model spaces as comparison constructions to show $p$ -hyperbolicity of a large class of submanifolds for $p \geq 2$ . The condition for…

Global comparison principles for the p-Laplace operator on Riemannian manifolds

p-Capacity and p-hyperbolicity of submanifolds

Global comparison principles for the $p$ -Laplace operator on Riemannian manifolds