A direct approach to Orlicz–Sobolev capacity |
| |
Institution: | Department of Mathematics, University of Texas at Austin, Austin, TX 78712, USA |
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|