Harnack Inequality for Nonlinear Equations Driven by the Normalized Infinity-Laplacian
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912799711559680 |
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| author | Mohammed, Ahmed Pocock, Carson |
| author_facet | Mohammed, Ahmed Pocock, Carson |
| contents | This paper aims to investigate a Harnack inequality for non-negative solutions of the normalized infinity Laplacian with nonlinear absorption and gradient terms. More specifically, we establish a Harnack inequality for non-negative viscosity solutions of the PDE $Δ_\infty^Nu=f(u)+g(u)|Du|^q$, where $0\le q\le 1$, and for a large class of non-decreasing continuous functions $f$ and $g$ that meet suitable growth conditions at infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00177 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Harnack Inequality for Nonlinear Equations Driven by the Normalized Infinity-Laplacian Mohammed, Ahmed Pocock, Carson Analysis of PDEs This paper aims to investigate a Harnack inequality for non-negative solutions of the normalized infinity Laplacian with nonlinear absorption and gradient terms. More specifically, we establish a Harnack inequality for non-negative viscosity solutions of the PDE $Δ_\infty^Nu=f(u)+g(u)|Du|^q$, where $0\le q\le 1$, and for a large class of non-decreasing continuous functions $f$ and $g$ that meet suitable growth conditions at infinity. |
| title | Harnack Inequality for Nonlinear Equations Driven by the Normalized Infinity-Laplacian |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.00177 |