Existence and multiplicity of positive solutions for a class of p(x)-Kirchhoff type equations

نویسندگان

  • Ruyun Ma
  • Guowei Dai
  • Chenghua Gao
چکیده

* Correspondence: [email protected] Department of Mathematics, Northwest Normal University, Lanzhou 730070, P. R. China Abstract In this article, we study the existence and multiplicity of positive solutions for the Neumann boundary value problems involving the p(x)-Kirchhoff of the form ⎪⎨⎪⎩ −M (∫ 1 p(x) (|∇u|p(x) + λ|u|p(x))dx ) (div (|∇u|p(x)−2∇u) − λ|u|p(x)−2u) = f (x, u) in , ∂u ∂v = 0 on ∂ .

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تاریخ انتشار 2012