Some remarks on the comparison principle in Kirchhoff equations
In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results. We give an alternative sub-supersolution method and...
| Autores: | , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2018 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/76605 |
| Acesso em linha: | https://hdl.handle.net/11441/76605 https://doi.org/10.4171/rmi/997 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Kirchhoff equation Comparison principle Sub-supersolution method |
| Resumo: | In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results. We give an alternative sub-supersolution method and apply it to some models. |
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