Radial positive solutions for mixed local and nonlocal supercritical Neumann problem
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866914736828841984 |
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| author | Amundsen, David Moameni, Abbas Temgoua, Remi Yvant |
| author_facet | Amundsen, David Moameni, Abbas Temgoua, Remi Yvant |
| contents | In this paper, we establish the existence of positive non-decreasing radial solutions for a nonlinear mixed local and nonlocal Neumann problem in the ball. No growth assumption on the nonlinearity is required. We also provide a criterion for the existence of non-constant solutions provided the problem possesses a trivial constant solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_12948 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Radial positive solutions for mixed local and nonlocal supercritical Neumann problem Amundsen, David Moameni, Abbas Temgoua, Remi Yvant Analysis of PDEs In this paper, we establish the existence of positive non-decreasing radial solutions for a nonlinear mixed local and nonlocal Neumann problem in the ball. No growth assumption on the nonlinearity is required. We also provide a criterion for the existence of non-constant solutions provided the problem possesses a trivial constant solution. |
| title | Radial positive solutions for mixed local and nonlocal supercritical Neumann problem |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2309.12948 |