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The aim of this paper is to establish the existence of at least three solutions for the nonlinear Neumann boundary-value problem involving the p(x)-Laplacian of the form
$-Δ_{p(x)}u + a(x)|u^{|p(x)-2}u = μg(x,u)$ in Ω,
$|∇u|^{p(x)-2} ∂u/∂ν = λf(x,u)$ on ∂Ω.
Our technical approach is based on the three critical points theorem due to Ricceri.
$-Δ_{p(x)}u + a(x)|u^{|p(x)-2}u = μg(x,u)$ in Ω,
$|∇u|^{p(x)-2} ∂u/∂ν = λf(x,u)$ on ∂Ω.
Our technical approach is based on the three critical points theorem due to Ricceri.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
257-266
Opis fizyczny
Daty
wydano
2014
Twórcy
autor
- Department of Mathematics, University Mohamed I, P.O. Box 717, Oujda 60000, Morocco
autor
- Department of Mathematics, University Mohamed I, P.O. Box 717, Oujda 60000, Morocco
autor
- Department of Mathematics, University Mohamed I, P.O. Box 717, Oujda 60000, Morocco
autor
- Department of Mathematics, University Mohamed I, P.O. Box 717, Oujda 60000, Morocco
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bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-13