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Using variational techniques and Morse theory, we establish three existence results for a Neumann boundary-value problem with p-Laplacian and Caratheodory reaction term, which can be . p 1/-asymptotically linear or sublinear at infinity. The hypotheses taken on permit resonance and make the corresponding energy functional noncoercive.

On a Neumann problem withp-Laplacian and noncoercive resonant nonlinearity