• Title of article

    Existence of three solutions for fourth-order Kirchhoff type elliptic problems with Hardy potential

  • Author/Authors

    Negravi ، Mostafa Department of Mathematics - Islamic Azad University, Tehran Science and Research Branch , Afrouzi ، Ghasem A. Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran

  • From page
    11
  • To page
    22
  • Abstract
    In this work, we establish existence results for the following fourth-order Kirchhoff-type elliptic problem with Hardy potential M(∫ Z Ω |∆u| p dx ∆2 pu − a |x| p |u| p−2u = λf(x, u), in Ω, u = ∆u = 0, on ∂ Ω. Precisely, by using the classical Hardy inequality and critical point theory, we prove the existence of multiple weak solutions for the fourth-order Kirchhoff-type elliptic problem with Hardy potential.
  • Keywords
    Kirchhoff , type , Multiple solutions , Critical points theory , Hardy potential , p , biharmonic type operator
  • Journal title
    International Journal of Nonlinear Analysis and Applications
  • Journal title
    International Journal of Nonlinear Analysis and Applications
  • Record number

    2773708

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2773708