Cordes-Nirenberg type results for nonlocal equations with deforming kernels
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866929405140402176 |
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| author | Prazeres, Disson dos Sobral, Aelson Urbano, José Miguel |
| author_facet | Prazeres, Disson dos Sobral, Aelson Urbano, José Miguel |
| contents | We derive Cordes-Nirenberg type results for nonlocal elliptic integro-differential equations with deforming kernels comparable to sections of a convex solution of a Monge-Ampère equation. Under a natural integrability assumption on the Monge-Ampère solution, we prove a stability lemma allowing the ellipticity class to vary. Using a compactness method, we then derive Hölder regularity estimates for the gradient of the solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_07228 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Cordes-Nirenberg type results for nonlocal equations with deforming kernels Prazeres, Disson dos Sobral, Aelson Urbano, José Miguel Analysis of PDEs Primary 35B65. Secondary 45H05, 35J96, 35J60, 35D40 We derive Cordes-Nirenberg type results for nonlocal elliptic integro-differential equations with deforming kernels comparable to sections of a convex solution of a Monge-Ampère equation. Under a natural integrability assumption on the Monge-Ampère solution, we prove a stability lemma allowing the ellipticity class to vary. Using a compactness method, we then derive Hölder regularity estimates for the gradient of the solutions. |
| title | Cordes-Nirenberg type results for nonlocal equations with deforming kernels |
| topic | Analysis of PDEs Primary 35B65. Secondary 45H05, 35J96, 35J60, 35D40 |
| url | https://arxiv.org/abs/2212.07228 |