Using variational techniques and Morse theory, we establish three existence results for a Neumann boundary-value problem with p-Laplacian and Carathéodory 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 with p-Laplacian and noncoercive resonant nonlinearity

MARANO, Salvatore Angelo;
2011-01-01

Abstract

Using variational techniques and Morse theory, we establish three existence results for a Neumann boundary-value problem with p-Laplacian and Carathéodory 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.
2011
p-Laplacian ; Neumann problem; noncoercive resonant nonlinearity
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/60165
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