Periodica Mathematica Hungarica

, Volume 70, Issue 2, pp 145–152 | Cite as

Positive solutions of singular elliptic systems with multiple parameters and Caffarelli–Kohn–Nirenberg exponents

  • G. A. Afrouzi
  • Vicenţiu D. RădulescuEmail author
  • S. Shakeri


This paper is concerned with the existence of positive solutions for a class of quasilinear singular elliptic systems with Dirichlet boundary condition. By studying the competition between the Caffarelli–Kohn–Nirenberg exponents, the sign-changing potentials and the nonlinear terms, we establish an interval on the range of multiple parameters over which solutions exist in an appropriate weighted Sobolev space. The arguments rely on the method of weak sub- and super-solutions.


Caffarelli–Kohn–Nirenberg exponents Elliptic system  Multiple parameters Sub-supersolution method 

Mathematics Subject Classification

35J55 35J65 



The authors are grateful to the anonymous referee for the careful reading of the paper and numerous useful suggestions. V. Rădulescu acknowledges the support through Grant CNCS PCE-47/2011.


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2015

Authors and Affiliations

  • G. A. Afrouzi
    • 1
  • Vicenţiu D. Rădulescu
    • 2
    • 3
    Email author
  • S. Shakeri
    • 1
  1. 1.Department of Mathematics, Faculty of Mathematical SciencesUniversity of MazandaranBabolsarIran
  2. 2.Institute of Mathematics “Simion Stoilow” of the Romanian AcademyBucharestRomania
  3. 3.Department of Mathematics, Faculty of SciencesKing Abdulaziz UniversityJeddahSaudi Arabia

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