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Título:
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Bifurcation from infinity for reaction-diffusion equations under nonlinear boundary conditions
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Autores:
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Mavinga, Nsoki ;
Pardo, Rosa
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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, 2017
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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
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Tipo = Artículo
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Resumen:
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We consider reaction–diffusion equations under nonlinear boundary conditions where the nonlinearities are asymptotically linear at infinity and depend on a parameter. We prove that, as the parameter crosses some critical values, a resonance-type phenomenon provides solutions that bifurcate from infinity. We characterize the bifurcated branches when they are sub- or supercritical. We obtain both Landesman–Lazer-type conditions that guarantee the existence of solutions in the resonant case and an anti-maximum principle.
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En línea:
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https://eprints.ucm.es/44752/1/a15043.pdf
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