ABP estimate and Harnack inequality for a class of degenerate fully nonlinear pseudo-$p$-Laplacian equations
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915773537058816 |
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| author | Byun, Sun-Sig Kim, Hongsoo |
| author_facet | Byun, Sun-Sig Kim, Hongsoo |
| contents | We prove Aleksandrov-Bakelman-Pucci estimates and Harnack inequalities for viscosity solutions of a class of degenerate fully nonlinear pseudo-$p$-Laplacian equations in nondivergence form. Our main approach is an adaptation of the sliding paraboloid method with anisotropic functions tailored to the coordinatewise degeneracy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24442 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | ABP estimate and Harnack inequality for a class of degenerate fully nonlinear pseudo-$p$-Laplacian equations Byun, Sun-Sig Kim, Hongsoo Analysis of PDEs 35B65, 35D40, 35J15, 35J70 We prove Aleksandrov-Bakelman-Pucci estimates and Harnack inequalities for viscosity solutions of a class of degenerate fully nonlinear pseudo-$p$-Laplacian equations in nondivergence form. Our main approach is an adaptation of the sliding paraboloid method with anisotropic functions tailored to the coordinatewise degeneracy. |
| title | ABP estimate and Harnack inequality for a class of degenerate fully nonlinear pseudo-$p$-Laplacian equations |
| topic | Analysis of PDEs 35B65, 35D40, 35J15, 35J70 |
| url | https://arxiv.org/abs/2509.24442 |