Riesz potential estimates for non-linear elliptic obstacle problems

Qi Xiong; Zhenqiu Zhang; Lingwei Ma

Riesz potential estimates for non-linear elliptic obstacle problems

Analysis of PDEs 2026-07-16 v1

Authors: Qi Xiong , Zhenqiu Zhang , Lingwei Ma

Abstract

This paper investigates a class of nonlinear elliptic obstacle problems involving measure data, where the nonlinearity depends on the variable of the possibly unbounded solution itself. We establish pointwise gradient estimates for the solutions in terms of Riesz potentials.

Cite

@article{arxiv.2607.14763,
  title  = {Riesz potential estimates for non-linear elliptic obstacle problems},
  author = {Qi Xiong and Zhenqiu Zhang and Lingwei Ma},
  journal= {arXiv preprint arXiv:2607.14763},
  year   = {2026}
}