Riesz potential estimates for double obstacle problems with Orlicz growth
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910464238157824 |
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| author | Xiong, Qi Zhang, Zhenqiu Ma, Lingwei |
| author_facet | Xiong, Qi Zhang, Zhenqiu Ma, Lingwei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19621 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Riesz potential estimates for double obstacle problems with Orlicz growth Xiong, Qi Zhang, Zhenqiu Ma, Lingwei Analysis of PDEs 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. |
| title | Riesz potential estimates for double obstacle problems with Orlicz growth |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.19621 |