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  • Research Article
  • Open Access

Existence and Nonexistence Results for a Class of Quasilinear Elliptic Systems

Boundary Value Problems20072007:085621

  • Received: 18 June 2007
  • Accepted: 20 August 2007
  • Published:


Using variational methods, we prove the existence and nonexistence of positive solutions for a class of -Laplacian systems with a parameter.


  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Variational Method


Authors’ Affiliations

Department of Mathematics, Faculty of Sciences, Al-Imam University, P.O. Box 90950, Riyadh, 11623, Saudi Arabia
Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA


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© S. El Manouni and K. Perera. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.