Advances in Dynamical Systems and Applications
  • Year: 2007
  • Volume: 2
  • Issue: 1

Existence of Multiple Positive Solutions of Quasilinear Elliptic Problems in ℝN

  • Author:
  • G.A. Afrouzi, S. Khademloo
  • Total Page Count: 11
  • Page Number: 1 to 11

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

AMS subject classification: 35J70, 35B32, 35B40.

Abstract

This paper concerns quasilinear elliptic equations of the form in ℝN with p > 1 and a(x) changes sign. We discuss the question of existence and multiplicity of solutions when a(x) has some specific properties.

Keywords

The pLaplacian, variational method, multiple solutions