A direct approach to Orlicz-Sobolev capacity

This paper is motivated by Federer and Ziemer's potential-free approach to Sobolev capacity. We extend their results to Orlicz-Sobolev spaces and analyze the resulting notion of Orlicz-Sobolev capacity. In particular, we explore the relationship between the Orlicz-Sobolev capacity of a set and its Hausdorff dimension and then establish the quasicontinuity of Orlicz-Sobolev functions.