Quantitative bounds for Hölder exponents in the Krylov--Safonov and Evans--Krylov theories
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915693330432000 |
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| author | Kim, Jongmyeong Lee, Se-Chan |
| author_facet | Kim, Jongmyeong Lee, Se-Chan |
| contents | We establish quantitative bounds for Hölder exponents in the Krylov--Safonov and Evans--Krylov theories when the ellipticity ratio is close to one. Our analysis relies on the Ishii--Lions method for the Krylov--Safonov theory and a Schauder-type perturbation argument for the Evans--Krylov theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21025 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantitative bounds for Hölder exponents in the Krylov--Safonov and Evans--Krylov theories Kim, Jongmyeong Lee, Se-Chan Analysis of PDEs 35B65, 35D40, 35J60 We establish quantitative bounds for Hölder exponents in the Krylov--Safonov and Evans--Krylov theories when the ellipticity ratio is close to one. Our analysis relies on the Ishii--Lions method for the Krylov--Safonov theory and a Schauder-type perturbation argument for the Evans--Krylov theory. |
| title | Quantitative bounds for Hölder exponents in the Krylov--Safonov and Evans--Krylov theories |
| topic | Analysis of PDEs 35B65, 35D40, 35J60 |
| url | https://arxiv.org/abs/2512.21025 |