Second order regularity for degenerate p-Laplace type equations with log-concave weights
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917889440743424 |
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| author | Antonini, Carlo Alberto Ciraolo, Giulio Pagliarin, Francesco |
| author_facet | Antonini, Carlo Alberto Ciraolo, Giulio Pagliarin, Francesco |
| contents | We consider weighted p-Laplace type equations with homogeneous Neumann boundary conditions in convex domains, where the weight is a log-concave function which may degenerate at the boundary. In the case of bounded domains, we provide sharp global second-order estimates. For unbounded domains, we prove local estimates at the boundary. The results are new even for the case p = 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02106 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Second order regularity for degenerate p-Laplace type equations with log-concave weights Antonini, Carlo Alberto Ciraolo, Giulio Pagliarin, Francesco Analysis of PDEs Functional Analysis 35B65, 35D30, 35J25, 35J62, 35J70, 35J92 We consider weighted p-Laplace type equations with homogeneous Neumann boundary conditions in convex domains, where the weight is a log-concave function which may degenerate at the boundary. In the case of bounded domains, we provide sharp global second-order estimates. For unbounded domains, we prove local estimates at the boundary. The results are new even for the case p = 2. |
| title | Second order regularity for degenerate p-Laplace type equations with log-concave weights |
| topic | Analysis of PDEs Functional Analysis 35B65, 35D30, 35J25, 35J62, 35J70, 35J92 |
| url | https://arxiv.org/abs/2501.02106 |