Gradient potential estimates for elliptic double obstacle problems with Orlicz growth
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929388149276672 |
|---|---|
| author | Xiong, Qi Zhang, Zhenqiu Ma, Lingwei |
| author_facet | Xiong, Qi Zhang, Zhenqiu Ma, Lingwei |
| contents | In this paper,we consider the solutions of the elliptic double obstacle problems with Orlicz growth involving measure data. Some pointwise estimates for the approximable solutions to these problems are obtained in terms of fractional maximal operators. Furthermore, we establish pointwise and oscillation estimates for the gradients of solutions via the non-linear Wolff potentials, which in turn yield $C^{1,α}$-regularity of solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11542 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gradient potential estimates for elliptic double obstacle problems with Orlicz growth Xiong, Qi Zhang, Zhenqiu Ma, Lingwei Analysis of PDEs In this paper,we consider the solutions of the elliptic double obstacle problems with Orlicz growth involving measure data. Some pointwise estimates for the approximable solutions to these problems are obtained in terms of fractional maximal operators. Furthermore, we establish pointwise and oscillation estimates for the gradients of solutions via the non-linear Wolff potentials, which in turn yield $C^{1,α}$-regularity of solutions. |
| title | Gradient potential estimates for elliptic double obstacle problems with Orlicz growth |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.11542 |