Third order estimates and the regularity of the stress field for solutions to $p$-Laplace equations
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914953102884864 |
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| author | Baratta, Daniel Sciunzi, Berardino Vuono, Domenico |
| author_facet | Baratta, Daniel Sciunzi, Berardino Vuono, Domenico |
| contents | We consider solutions to $$ - Δ_{p} u = f(x) \quad \text{in } Ω\, ,$$ when $p$ approaches the semilinear limiting case $p=2$ and we get third order estimates. As a consequence we deduce improved regularity properties of the stress field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17566 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Third order estimates and the regularity of the stress field for solutions to $p$-Laplace equations Baratta, Daniel Sciunzi, Berardino Vuono, Domenico Analysis of PDEs 35J60, 35B65 We consider solutions to $$ - Δ_{p} u = f(x) \quad \text{in } Ω\, ,$$ when $p$ approaches the semilinear limiting case $p=2$ and we get third order estimates. As a consequence we deduce improved regularity properties of the stress field. |
| title | Third order estimates and the regularity of the stress field for solutions to $p$-Laplace equations |
| topic | Analysis of PDEs 35J60, 35B65 |
| url | https://arxiv.org/abs/2402.17566 |