A note on new mapping properties for Wolff potential

Petteri Harjulehto; Ritva Hurri-Syrjänen

A note on new mapping properties for Wolff potential

Analysis of PDEs 2026-07-06 v1 Functional Analysis

Authors: Petteri Harjulehto , Ritva Hurri-Syrjänen

Abstract

We study integrability properties of the Wolff potential in context of Choquet integrals with respect to the Hausdorff content. As an application we give integrability results to the solutions of the $p$ -Laplace equation in this context.

Cite

@article{arxiv.2607.04947,
  title  = {A note on new mapping properties for Wolff potential},
  author = {Petteri Harjulehto and Ritva Hurri-Syrjänen},
  journal= {arXiv preprint arXiv:2607.04947},
  year   = {2026}
}