On a Class of Neumann Boundary Value Equations Driven by a (p1, , Pn)-Laplacian Operator

Authors

  • G. A. Afrouzi Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
  • S. Heidarkhani Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, Iran
  • A. Hadjian Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
  • S. Shakeri Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

DOI:

https://doi.org/10.4208/jpde.v25.n1.2

Keywords:

(p_1;...;p_n)-Laplacian;Neumann problem;three solutions;critical points;multiplicity results

Abstract

In this paper we prove the existence of an open interval (λ' ,λ") for each λ in the interval a class of Neumann boundary value equations involving the (p_1,..., p_n)- Laplacian and depending on λ admits at least three solutions. Our main tool is a recent three critical points theorem of Averna and Bonanno [Topol. Methods Nonlinear Anal. [1] (2003) 93-103].

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Published

2012-03-01

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Issue

Vol. 25 No. 1 (2012)

Section

Articles

How to Cite

On a Class of Neumann Boundary Value Equations Driven by a (p1, , Pn)-Laplacian Operator. (2012). Journal of Partial Differential Equations, 25(1), 21-31. https://doi.org/10.4208/jpde.v25.n1.2
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