Global Journal of Pure and Applied Mathematics
  • Year: 2006
  • Volume: 2
  • Issue: 1

Existence of Three Solutions for the Dirichlet Problem involving the p-Laplacian

  • Author:
  • G.A. Afrouzi, S. Heidarkhani
  • Total Page Count: 6
  • Page Number: 73 to 78

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

AMS Subject Classification: 35J20, 34A15.

Abstract

In this paper, the existence of at least three weak solutions for Dirichlet problems involving the p-Laplacian is established. The approach is based on variational methods and critical points.

Keywords

Three solutions, Critical point, Multiplicity results, Dirichlet problem