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Título:
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Bifurcation and stability of equilibria with asymptotically linear boundary conditions at infinity
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Autores:
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Arrieta Algarra, José María ;
Pardo San Gil, Rosa ;
Rodríguez Bernal, Aníbal
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Tipo de documento:
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texto impreso
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Editorial:
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Cambridge University Press, 2007-04
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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We consider an elliptic equation with a nonlinear boundary condition which is asymptotically linear at infinity and which depends on a parameter. As the parameter crosses some critical values, there appear certain resonances in the equation producing solutions that bifurcate from infinity. We study the bifurcation branches, characterize when they are sub- or supercritical and analyse the stability type of the solutions. Furthermore, we apply these results and techniques to obtain Landesman–Lazer-type conditions guaranteeing the existence of solutions in the resonant case and to obtain an anti-maximum principle
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En línea:
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https://eprints.ucm.es/id/eprint/13211/1/2005bifurcation-13.pdf
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