In this paper we are interested in the multiplicity of weak solutions to the following Neumann problem involving the p(x)-Laplacian operator −∆p(x)u + |u|^p(x)−2u = λα(x)f(u) + β(x)g(u) in Ω ∂u/∂ν = 0 on ∂Ω. We establish the existence of at least three solutions to this problem by using, as main tool, a recent variational principle due to Ricceri.
Multiplicity results for a Neumann boundary value problem involving the p(x)-Laplacian.
CAMMAROTO, Filippo;VILASI, LUCA
2012-01-01
Abstract
In this paper we are interested in the multiplicity of weak solutions to the following Neumann problem involving the p(x)-Laplacian operator −∆p(x)u + |u|^p(x)−2u = λα(x)f(u) + β(x)g(u) in Ω ∂u/∂ν = 0 on ∂Ω. We establish the existence of at least three solutions to this problem by using, as main tool, a recent variational principle due to Ricceri.File in questo prodotto:
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