On sublinear elliptic systems on bounded and thin unbounded domains
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915419005124608 |
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| author | Cortissoz, Jean C. |
| author_facet | Cortissoz, Jean C. |
| contents | In this paper, we demonstrate the existence of positive solutions for certain weakly coupled elliptic systems of sublinear growth under homogeneous Dirichlet boundary conditions. Our findings generalize existing results related to sublinear systems involving two weakly coupled equations, such as the Lane-Emden systems. Moreover, our results apply to both bounded domains and thin unbounded domains, defined as unbounded regions contained between two parallel hyperplanes, and accommodate some discontinuous nonlinearities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_15839 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On sublinear elliptic systems on bounded and thin unbounded domains Cortissoz, Jean C. Analysis of PDEs Functional Analysis 35J57, 35J60 In this paper, we demonstrate the existence of positive solutions for certain weakly coupled elliptic systems of sublinear growth under homogeneous Dirichlet boundary conditions. Our findings generalize existing results related to sublinear systems involving two weakly coupled equations, such as the Lane-Emden systems. Moreover, our results apply to both bounded domains and thin unbounded domains, defined as unbounded regions contained between two parallel hyperplanes, and accommodate some discontinuous nonlinearities. |
| title | On sublinear elliptic systems on bounded and thin unbounded domains |
| topic | Analysis of PDEs Functional Analysis 35J57, 35J60 |
| url | https://arxiv.org/abs/2310.15839 |