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

In this work, we establish existence results for the following fourth-order Kirchhoff-type elliptic problem with Hardy potential M(∫_Ω |∆u| ^pdx) ∆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. [ABSTRACT FROM AUTHOR]