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

Multiplicity results for the dirichlet boundary value problem involving the p-Laplacian

  • Author:
  • G.A. Afrouzi, S. Heidarkhani
  • Total Page Count: 7
  • Page Number: 63 to 69

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

AMS Mathematics Subject Classification: 35J65, 35A15

Abstract

In this paper, we establish the existence of three weak solutions to a Dirichlet problem involving the p-Laplacian. The approach is based on variational methods and critical points.

Keywords

Three solutions, Critical point, Multiplicity results, Dirichlet problem