Article
Combining linear and fast diffusion in a nonlinear elliptic equation
Author/s | Cintra da Silva, Willian
Morales Rodrigo, Cristian Suárez Fernández, Antonio |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2017-02 |
Deposit Date | 2017-01-25 |
Published in |
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Abstract | 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 ... 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. |
Project ID. | BEX 6377/15-7
info:eu-repo/grantAgreement/MINECO/MTM2015-69875-P 400426/2013-7 |
Citation | Cintra da Silva, W., Morales Rodrigo, C. y Suárez Fernández, A. (2017). Combining linear and fast diffusion in a nonlinear elliptic equation. Calculus of Variations and Partial Differential Equations, 56, 1-22. |
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