Neumann boundary value problems across resonance
ESAIM: Control, Optimisation and Calculus of Variations, Tome 12 (2006) no. 3, pp. 398-408.

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.

DOI : 10.1051/cocv:2006009
Classification : 34B15, 47H15
Mots-clés : second order Newmann boundary condition, resonance, Pontryagin's maximum principle 
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     author = {L\'opez, Gin\'es and Montero-S\'anchez, Juan-Aurelio},
     title = {Neumann boundary value problems across resonance},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {398--408},
     publisher = {EDP-Sciences},
     volume = {12},
     number = {3},
     year = {2006},
     doi = {10.1051/cocv:2006009},
     mrnumber = {2224820},
     zbl = {1123.34011},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/cocv:2006009/}
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López, Ginés; Montero-Sánchez, Juan-Aurelio. Neumann boundary value problems across resonance. ESAIM: Control, Optimisation and Calculus of Variations, Tome 12 (2006) no. 3, pp. 398-408. doi : 10.1051/cocv:2006009. http://www.numdam.org/articles/10.1051/cocv:2006009/

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