Some superlinear problems with nonlocal diffusion coefficient
We study a superlinear elliptic problem with a non-local diffusion coefficient. We show that there exists a drastic change on the structure of the set of positive solutions when the non-local coefficient grows fast enough to infinity. We combine mainly sub-super and bifurcation methods to obtain our...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/180890 |
| Acceso en línea: | https://hdl.handle.net/11441/180890 https://doi.org/10.1016/j.jmaa.2019.123519 |
| Access Level: | acceso abierto |
| Palabra clave: | Non-local diffusion coefficient Superlinear problem Bifurcation method |
| Sumario: | We study a superlinear elliptic problem with a non-local diffusion coefficient. We show that there exists a drastic change on the structure of the set of positive solutions when the non-local coefficient grows fast enough to infinity. We combine mainly sub-super and bifurcation methods to obtain our results. |
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