Volume 12, Number 3, July 2006
|Page(s)||398 - 408|
|Published online||20 June 2006|
Neumann boundary value problems across resonance
Departamento de Análisis Matemático, Universidad de
Granada, 18071 Granada, Spain; firstname.lastname@example.org;email@example.com
Revised: 11 May 2005
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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