Advances in Dynamical Systems and Applications
  • Year: 2006
  • Volume: 1
  • Issue: 2

Multiplicity Results for a Dirichlet Boundary Value Problem in the Higher Dimensional Case

  • Author:
  • G.A. Afrouzi, S. Heidarkhani
  • Total Page Count: 7
  • Page Number: 121 to 127

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

AMS subject classification: 35J65, 34A15.

Abstract

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

Keywords

Three solutions, critical point, multiplicity results, Dirichlet problem