Geodesic
Solvability of Neumann boundary-value problems with Caratheodory nonlinearities
Electronic journal of differential equations, Tome 2004 (2004)
We propose a sufficient condition, on the nonlinear term, for the existence of solutions. This new condition is weaker than the usual sign condition and than the assumption on the existence of constant upper and lower solutions.
Classification : 34B15
Keywords: Neumann problems, Carathéodory functions, a priori estimates, topological transversality theorem 
@article{EJDE_2004__2004__a137,
     author = {Boucherif,  Abdelkader and Al-Malki,  Nawal},
     title = {Solvability of {Neumann} boundary-value problems with {Caratheodory} nonlinearities},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1095.34516},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a137/}
}
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%A Al-Malki,  Nawal
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Boucherif,  Abdelkader; Al-Malki,  Nawal. Solvability of Neumann boundary-value problems with Caratheodory nonlinearities. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a137/