Decay estimates for solutions to non-autonomous critical p-Laplace problems
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912250110935040 |
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| author | Baldelli, Laura Guarnotta, Umberto |
| author_facet | Baldelli, Laura Guarnotta, Umberto |
| contents | We prove optimal decay estimates for positive solutions to elliptic p-Laplacian problems in the entire Euclidean space, when a critical nonlinearity with a decaying source term is considered. Also gradient decay estimates are furnished. Our results extend previous theorems in the literature, in which a purely critical reaction is treated. The technique is based on a priori estimates, regularity results, and rescaling arguments, combined with the doubling lemma. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19819 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Decay estimates for solutions to non-autonomous critical p-Laplace problems Baldelli, Laura Guarnotta, Umberto Analysis of PDEs 35J92, 35B45, 35B08 We prove optimal decay estimates for positive solutions to elliptic p-Laplacian problems in the entire Euclidean space, when a critical nonlinearity with a decaying source term is considered. Also gradient decay estimates are furnished. Our results extend previous theorems in the literature, in which a purely critical reaction is treated. The technique is based on a priori estimates, regularity results, and rescaling arguments, combined with the doubling lemma. |
| title | Decay estimates for solutions to non-autonomous critical p-Laplace problems |
| topic | Analysis of PDEs 35J92, 35B45, 35B08 |
| url | https://arxiv.org/abs/2502.19819 |