On a global estimate and a Stampacchia-type maximum principle for Lane-Emden systems
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908462295810048 |
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| author | Fernandes Jr., Leandro G. Leite, Edir J. F. |
| author_facet | Fernandes Jr., Leandro G. Leite, Edir J. F. |
| contents | We establish a global boundedness result for Lane-Emden systems involving general second-order elliptic operators in divergence form and arbitrary positive exponents whose product equals one. Furthermore, we observe that, for this class of systems -- and for certain operators in divergence form, including the case when both operators are the Laplacian -- it is not possible to recover the classical Stampacchia maximum principle as a particular case corresponding to single equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_17465 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a global estimate and a Stampacchia-type maximum principle for Lane-Emden systems Fernandes Jr., Leandro G. Leite, Edir J. F. Analysis of PDEs We establish a global boundedness result for Lane-Emden systems involving general second-order elliptic operators in divergence form and arbitrary positive exponents whose product equals one. Furthermore, we observe that, for this class of systems -- and for certain operators in divergence form, including the case when both operators are the Laplacian -- it is not possible to recover the classical Stampacchia maximum principle as a particular case corresponding to single equations. |
| title | On a global estimate and a Stampacchia-type maximum principle for Lane-Emden systems |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.17465 |