Existence and uniqueness of a positive solution to a rapidly growing problem via sub-supersolution method
In this paper, we study the validity of the sub-supersolution method for the equation 8<: div(K(x)ru) = K(x)jxj 2f(x; u) in RN; u > 0 in RN; where N 3, K(x) = exp(jxj =4), 2 and f is a continuous function, with hypotheses that will be given later. We apply the method to cases where f is singul...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:dnet:idus________::1da8f7b12a935076092d47be05b14f69 |
| Acceso en línea: | https://hdl.handle.net/11441/186490 https://doi.org/10.1017/S0013091525101235 |
| Access Level: | acceso abierto |
| Palabra clave: | Sub-supersolution method Singular elliptic problem Uniqueness |
| Sumario: | In this paper, we study the validity of the sub-supersolution method for the equation 8<: div(K(x)ru) = K(x)jxj 2f(x; u) in RN; u > 0 in RN; where N 3, K(x) = exp(jxj =4), 2 and f is a continuous function, with hypotheses that will be given later. We apply the method to cases where f is singular, where f behaves like a logistic function, showing in both cases the existence and uniqueness of a positive solution. |
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