Local behaviour of the second order derivatives of solutions to $p$-Laplace equations
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908588316819456 |
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| author | Iandoli, Felice Vuono, Domenico |
| author_facet | Iandoli, Felice Vuono, Domenico |
| contents | We consider the equation $- Δ_{p} u = f(x)$ in $Ω,$ where $Δ_{p}$ is the $p$-Laplace operator. We provide $L^{\infty}$-type estimates for the second derivatives of solutions when $p$ approaches to $2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06273 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local behaviour of the second order derivatives of solutions to $p$-Laplace equations Iandoli, Felice Vuono, Domenico Analysis of PDEs 35J60, 35B65 We consider the equation $- Δ_{p} u = f(x)$ in $Ω,$ where $Δ_{p}$ is the $p$-Laplace operator. We provide $L^{\infty}$-type estimates for the second derivatives of solutions when $p$ approaches to $2$. |
| title | Local behaviour of the second order derivatives of solutions to $p$-Laplace equations |
| topic | Analysis of PDEs 35J60, 35B65 |
| url | https://arxiv.org/abs/2502.06273 |