We study the existence and multiplicity of weak solutions for a parametric Neumann problem driven by the p(x)-Laplacian. Under a suitable condition on the behavior of the potential at $0^+$, we obtain an interval such that when a parameter $lambda$ is in this interval, our problem admits at least one nontrivial weak solution. We show the multiplicity of solutions for potentials satisfying also the Ambrosetti-Rabinowitz condition. Moreover, if the right-hand side f satisfies the Ambrosetti-Rabinowitz condition, then we obtain the existence of two nontrivial weak solutions.
Titolo: | Existence of solutions for a Neumann problem involving the p(x)-Laplacian | |
Autori: | ||
Data di pubblicazione: | 2013 | |
Rivista: | ||
Handle: | http://hdl.handle.net/20.500.12318/6396 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.