Advances in Theoretical and Applied Mathematics
  • Year: 2006
  • Volume: 1
  • Issue: 1

On a boundary value problem involving p-Laplacian

  • Author:
  • G.A. Afrouzi, S. Heidarkhani
  • Total Page Count: 7
  • Page Number: 71 to 77

Department of Mathematics, Faculty of Basic Sciences, Mazandaran University, Babolsar, Iran. Email: afrouzi@umz.ac.ir

AMS Mathematics Subject Classification: 35J20, 34A15

Abstract

In this paper, the existence of at least three weak solutions for Dirichlet problem where is the p-Laplacian operator, Ω ⊂ RN (N ≥ 1) is nonempty bounded open set with smooth boundary ∂Ω, p > N, λ > 0 and f: Ω × R → R is a Caratheodory function, is established.

Keywords

Three solutions, Critical point, Multiplicity results, Dirichlet problem