A Note on Sobolev‐Lorentz Capacity and Hausdorff Measure
ABSTRACT In this paper, we give an elementary proof that sets of zero ‐Sobolev‐Lorentz capacity are ‐null sets, independently of nonlinear potential theory. We further show that there exists a set of Sobolev‐Lorentz‐ capacity equal to zero with Hausdorff dimension equal .
Authors
- Daniel Campbell (ORCID: https://orcid.org/0000-0001-7490-0317)
Institutions
- Charles University (CZ)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2026-05-13
- DOI
- https://doi.org/10.1002/mana.70157
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Grantová Agentura České Republiky