Weak Harnack estimates for a doubly nonlinear nonlocal p-Laplace equation
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909514688626688 |
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| author | Shang, Bin Zhang, Chao |
| author_facet | Shang, Bin Zhang, Chao |
| contents | We establish a new type of weak Harnack estimates with optimal parabolic tail for the weak supersolutions to a doubly nonlinear nonlocal $p$-Laplace equation, which is modeled on the nonlocal Trudinger equation. Our results are achieved by employing the expansion of positivity and measure theoretical techniques. In particular, the weak Harnack estimates highlight the nonlocal feature, as we only require the local positivity of weak supersolutions instead of the global one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19925 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weak Harnack estimates for a doubly nonlinear nonlocal p-Laplace equation Shang, Bin Zhang, Chao Analysis of PDEs We establish a new type of weak Harnack estimates with optimal parabolic tail for the weak supersolutions to a doubly nonlinear nonlocal $p$-Laplace equation, which is modeled on the nonlocal Trudinger equation. Our results are achieved by employing the expansion of positivity and measure theoretical techniques. In particular, the weak Harnack estimates highlight the nonlocal feature, as we only require the local positivity of weak supersolutions instead of the global one. |
| title | Weak Harnack estimates for a doubly nonlinear nonlocal p-Laplace equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2502.19925 |