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ESAIM: COCV, July 2006, Vol. 12, pp. 398-408
DOI: 10.1051/cocv:2006009
Neumann boundary value problems across resonance
Ginés López and Juan-Aurelio Montero-SánchezDepartamento de Análisis Matemático, Universidad de Granada, 18071 Granada, Spain; glopezp@ugr.es;jmontero@ugr.es
(Received January 13, 2005. Revised May 11, 2005. / Published online: 20 June 2006)
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.
Mathematics Subject Classification. 34B15, 47H15
Key words: Second order Newmann boundary condition, resonance, Pontryagin's maximum principle.
© EDP Sciences, SMAI 2006
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