Global second order optimal regularity for the vectorial $p$-Laplacian
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917935526707200 |
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| author | Sciunzi, Berardino Spadaro, Giuseppe Vuono, Domenico |
| author_facet | Sciunzi, Berardino Spadaro, Giuseppe Vuono, Domenico |
| contents | We obtain optimal regularity results for solutions to vectorial $p$-Laplace equations $$ -{\boldsymbol Δ}_p{\boldsymbol u}=-\operatorname{\bf div}(|D{\boldsymbol u}|^{p-2}D{\boldsymbol u}) = {\boldsymbol f}(x)\,\, \mbox{ in $Ω$}\,.$$ More precisely we address the issue of global second order estimates for the stress field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17067 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global second order optimal regularity for the vectorial $p$-Laplacian Sciunzi, Berardino Spadaro, Giuseppe Vuono, Domenico Analysis of PDEs 35J25, 35J92, 35B65 We obtain optimal regularity results for solutions to vectorial $p$-Laplace equations $$ -{\boldsymbol Δ}_p{\boldsymbol u}=-\operatorname{\bf div}(|D{\boldsymbol u}|^{p-2}D{\boldsymbol u}) = {\boldsymbol f}(x)\,\, \mbox{ in $Ω$}\,.$$ More precisely we address the issue of global second order estimates for the stress field. |
| title | Global second order optimal regularity for the vectorial $p$-Laplacian |
| topic | Analysis of PDEs 35J25, 35J92, 35B65 |
| url | https://arxiv.org/abs/2502.17067 |