Artículo
Positive solutions for the degenerate logistic indefinite superlinear problem the slow diffusion case
Autor/es | Delgado Delgado, Manuel
Suárez Fernández, Antonio |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2003 |
Fecha de depósito | 2016-05-16 |
Publicado en |
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Resumen | In this work we study the existence, stability and multiplicity of the positive steady-states solutions of the degenerate logistic indefinite superlinear problem. By an adequate change of variable, the problem is transformed ... In this work we study the existence, stability and multiplicity of the positive steady-states solutions of the degenerate logistic indefinite superlinear problem. By an adequate change of variable, the problem is transformed into an elliptic equation with concave and indefinite convex nonlinearities. We use singular spectral theory, the Leray-Schauder degree, bifurcation and monotony methods to obtain the existence results, and fixed point index in cones and a Picone identity to show the multiplicity results and the existence of a unique positive solution linearly asymptotically stable. |
Agencias financiadoras | Comisión Interministerial de Ciencia y Tecnología (CICYT). España Ministerio de Ciencia y Tecnología (MCYT). España |
Identificador del proyecto | MAR98-0486
BFM2000-0797 |
Cita | Delgado Delgado, M. y Suárez Fernández, A. (2003). Positive solutions for the degenerate logistic indefinite superlinear problem the slow diffusion case. Houston Journal of Mathematics, 29 (3), 801-820. |
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