Affiliation:
1. University of Mazandaran
Abstract
Under appropriate growth conditions on the nonlinearity, the existence of multiple solutions for a perturbednonlocal fourth-order Kirchhoff-type problem involving the Hardy term:$$\Delta_p ^2 u-\big[M(\int_{\Omega}|\nabla u|^{p}dx)\big]^{p-1}\Delta_{p}u-\mu\frac{|u|^{p-2}u}{|x|^{2p}}= \lambda f(x,u),$$is established. Our main tools are based on variational methods and some critical pointstheorems. We give some examples to illustrate the obtained results.
Publisher
Sociedade Paranaense de Matematica