Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842731 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 5 Pages |
Abstract
We study the following Neumann problem: {âÎp(x)u+α(x)|u|p(x)â2u=α(x)f(u)+λg(x,u)in Ωâuâν=0on âΩ 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.
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Authors
Danila Sandra Moschetto,