Approximate radial symmetry for $p$-Laplace equations via the moving planes method
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911168980844544 |
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| author | Gatti, Michele |
| author_facet | Gatti, Michele |
| contents | We investigate quasi-symmetry for small perturbations of the Gidas-Ni-Nirenberg problem involving the $p$-Laplacian and for small perturbations the critical $p$-Laplace equation for $p>2$.
To achieve these results, we provide a quantitative review of the work by Damascelli & Sciunzi (Calc. Var. Partial Differential Equations 25 (2006), no. 2, 139-159) concerning the weak Harnack comparison inequality and the local boundedness comparison inequality. Moreover, we prove a comparison principle for small domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11759 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Approximate radial symmetry for $p$-Laplace equations via the moving planes method Gatti, Michele Analysis of PDEs 35B33, 35B35, 35J92 (Primary) 35B51 (Secondary) We investigate quasi-symmetry for small perturbations of the Gidas-Ni-Nirenberg problem involving the $p$-Laplacian and for small perturbations the critical $p$-Laplace equation for $p>2$. To achieve these results, we provide a quantitative review of the work by Damascelli & Sciunzi (Calc. Var. Partial Differential Equations 25 (2006), no. 2, 139-159) concerning the weak Harnack comparison inequality and the local boundedness comparison inequality. Moreover, we prove a comparison principle for small domains. |
| title | Approximate radial symmetry for $p$-Laplace equations via the moving planes method |
| topic | Analysis of PDEs 35B33, 35B35, 35J92 (Primary) 35B51 (Secondary) |
| url | https://arxiv.org/abs/2502.11759 |