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arXiv · 2607.14763

Riesz potential estimates for non-linear elliptic obstacle problems

Qi Xiong·Zhenqiu Zhang·Lingwei Ma
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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.

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Qi Xiong, Zhenqiu Zhang, Lingwei Ma. 2026-07-16. Riesz potential estimates for non-linear elliptic obstacle problems. https://arxiv.org/abs/2607.14763

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