Quasilinear Lane-Emden type systems with sub-natural growth terms
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866917591215243264 |
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| author | da Silva, Estevan Luiz Ó, João Marcos do |
| author_facet | da Silva, Estevan Luiz Ó, João Marcos do |
| contents | Global pointwise estimates are obtained for quasilinear Lane-Emden-type systems involving measures in the "sublinear growth" rate. We give necessary and sufficient conditions for existence expressed in terms of Wolff's potential. Our approach is based on recent advances due to Kilpeläinen and Malý in the potential theory. This method enables us to treat several problems, such as equations involving general quasilinear operators and fractional Laplacian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10377 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasilinear Lane-Emden type systems with sub-natural growth terms da Silva, Estevan Luiz Ó, João Marcos do Analysis of PDEs Global pointwise estimates are obtained for quasilinear Lane-Emden-type systems involving measures in the "sublinear growth" rate. We give necessary and sufficient conditions for existence expressed in terms of Wolff's potential. Our approach is based on recent advances due to Kilpeläinen and Malý in the potential theory. This method enables us to treat several problems, such as equations involving general quasilinear operators and fractional Laplacian. |
| title | Quasilinear Lane-Emden type systems with sub-natural growth terms |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.10377 |