A fully nonlinear transmission problem degenerating on the interface
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914984053702656 |
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| author | Giovagnoli, Davide Jesus, David |
| author_facet | Giovagnoli, Davide Jesus, David |
| contents | In this paper we prove that solutions to a transmission problem degenerating on the interface are Hölder differentiable up to the interface with universal estimates. Furthermore, we obtain a sharper pointwise $C^{1,α(\cdot)}$ with optimal variable exponent and uniform estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16957 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A fully nonlinear transmission problem degenerating on the interface Giovagnoli, Davide Jesus, David Analysis of PDEs 35B65, 35J70, 35Q74, 74A50 In this paper we prove that solutions to a transmission problem degenerating on the interface are Hölder differentiable up to the interface with universal estimates. Furthermore, we obtain a sharper pointwise $C^{1,α(\cdot)}$ with optimal variable exponent and uniform estimates. |
| title | A fully nonlinear transmission problem degenerating on the interface |
| topic | Analysis of PDEs 35B65, 35J70, 35Q74, 74A50 |
| url | https://arxiv.org/abs/2410.16957 |