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Neumann boundary value problemsacross resonance

Published online by Cambridge University Press:  20 June 2006

Ginés López  and
Juan-Aurelio Montero-Sánchez
Ginés López
Affiliation:
Departamento de Análisis Matemático, Universidad de Granada, 18071 Granada, Spain; glopezp@ugr.es;jmontero@ugr.es
Juan-Aurelio Montero-Sánchez
Affiliation:
Departamento de Análisis Matemático, Universidad de Granada, 18071 Granada, Spain; glopezp@ugr.es;jmontero@ugr.es
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Abstract

We obtain an existence-uniqueness result for a second order Neumann boundary value problem including cases where the nonlinearity possibly crosses several points of resonance. Optimal and Schauder fixed points methods are used to prove this kind of results.

Keywords

Second order Newmann boundary conditionresonancePontryagin's maximum principle.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 12 , Issue 3 , July 2006 , pp. 398 - 408
Copyright
© EDP Sciences, SMAI, 2006

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References

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