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arXiv · 2405.19621

Riesz potential estimates for double obstacle problems with Orlicz growth

Qi Xiong·Zhenqiu Zhang·Lingwei Ma
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Abstract

In this paper, we consider the solutions to the non-homogeneous double obstacle problems with Orlicz growth involving measure data. After establishing the existence of the solutions to this problem in the Orlicz-Sobolev space, we derive a pointwise gradient estimate for these solutions by Riesz potential, which leads to the result on the $C^1$ regularity criterion.

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Qi Xiong, Zhenqiu Zhang, Lingwei Ma. 2024-05-30. Riesz potential estimates for double obstacle problems with Orlicz growth. https://arxiv.org/abs/2405.19621

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