Regularity for Doubly Nonlinear Equations in the Mixed Regime
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917264093085696 |
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| author | Ciani, Simone Henriques, Eurica Savchenko, Mariia Skrypnik, Igor I. Yevgenieva, Yevgeniia |
| author_facet | Ciani, Simone Henriques, Eurica Savchenko, Mariia Skrypnik, Igor I. Yevgenieva, Yevgeniia |
| contents | We study the local Hölder continuity of nonnegative solutions to doubly nonlinear equations by introducing a new technique that allows us to treat the cases where the equation is both singular and degenerate, up to specific Barenblatt numbers. Our argument relies on a new integral $L^1$-$L^1$ Harnack estimate, of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09906 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Regularity for Doubly Nonlinear Equations in the Mixed Regime Ciani, Simone Henriques, Eurica Savchenko, Mariia Skrypnik, Igor I. Yevgenieva, Yevgeniia Analysis of PDEs 35B65, 35B45 We study the local Hölder continuity of nonnegative solutions to doubly nonlinear equations by introducing a new technique that allows us to treat the cases where the equation is both singular and degenerate, up to specific Barenblatt numbers. Our argument relies on a new integral $L^1$-$L^1$ Harnack estimate, of independent interest. |
| title | Regularity for Doubly Nonlinear Equations in the Mixed Regime |
| topic | Analysis of PDEs 35B65, 35B45 |
| url | https://arxiv.org/abs/2602.09906 |