Article ID Journal Published Year Pages File Type
842731 Nonlinear Analysis: Theory, Methods & Applications 2009 5 Pages PDF
Abstract
We study the following Neumann problem: {−Δp(x)u+α(x)|u|p(x)−2u=α(x)f(u)+λg(x,u)in Ω∂u∂ν=0on ∂Ω and we prove that, under suitable assumptions on the functions α, f, p and g, the Ricceri two-local-minima theorem, together with the Palais-Smale property, ensures the existence of at least three solutions of it. This work could be considered a possible extension of some results by Cammaroto, Chinnì and Di Bella who handled the case where p(x) is constant.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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