Combining linear and fast diffusion in a nonlinear elliptic equation
In this paper we analyse an elliptic equation that combines linearand nonlinear fast diffusion with a logistic type reaction function. We proveexistence and non-existence results of positive solutions using bifurcation the-ory and sub-supersolution method. Moreover, we apply variational methodsto obt...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/52743 |
| Acceso en línea: | http://hdl.handle.net/11441/52743 https://doi.org/10.1007/s00526-016-1096-2 |
| Access Level: | acceso abierto |
| Palabra clave: | Non-linear diffusion Bifurcation Sub-supersolution method Variational methods |
| Sumario: | In this paper we analyse an elliptic equation that combines linearand nonlinear fast diffusion with a logistic type reaction function. We proveexistence and non-existence results of positive solutions using bifurcation the-ory and sub-supersolution method. Moreover, we apply variational methodsto obtain a pair of ordered positive solutions. |
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