Capacity Estimates, Differentiation Bases and Quasisuperminimizers in Orlicz-Sobolev Spaces on Metric Measure Spaces
Year: 2026
Type: article
Abstract: Based on the capacity instead of measure, we characterize Orlicz-Sobolev capacity and variational Orlicz-Sobolev capacity in Orlicz-Sobolev spaces on metric measure spaces. Meanwhile, we also obtain the equivalent results about the differentiation bases and quasisuperminimizers for the convex integral functional.
Source: Journal of Mathematical Study
Authors: Pinhong Long, Jingshi Xu
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7225636491