The aim of this paper is to provide suitable conditions under which the following Neumann problem: −Δ_pu + α(x)|u|^(p−2)u = α(x)f (u) + λg(x, u) in Ω ∂u/∂ν=0 on ∂Ω has at least two or even three solutions, for each λ nonnegative, small enough.
Multiplicity results for a Neumann-type problem involving the p-Laplacian
CAMMAROTO, Filippo;CHINNI', Antonia;DI BELLA, Beatrice
2009-01-01
Abstract
The aim of this paper is to provide suitable conditions under which the following Neumann problem: −Δ_pu + α(x)|u|^(p−2)u = α(x)f (u) + λg(x, u) in Ω ∂u/∂ν=0 on ∂Ω has at least two or even three solutions, for each λ nonnegative, small enough.File in questo prodotto:
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