Mediterranean Journal of Mathematics

, Volume 3, Issue 1, pp 87–96 | Cite as

Existence of solutions for a nonlinear elliptic problem of fourth order with weight

  • Zakaria El Allali
  • Mohamed Talbi
  • Najib Tsouli


In this work we study the existence and regularity of solutions of the equation Δ p 2 u = λm|u| q2 u with the boundary conditions of Navier in the case pq.

Mathematics Subject Classification (2000)

Primary 35J30 Secondary 35J35 


p-biharmonic operator existence and regularity of solution 


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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2006

Authors and Affiliations

  • Zakaria El Allali
    • 1
  • Mohamed Talbi
    • 1
  • Najib Tsouli
    • 1
  1. 1.Department of Mathematics and Computer Faculty of SciencesUniversity Mohammed IOujdaMorocco

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