Document Type : Research Paper
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
This paper is concerned with the study of the existence of positive solutions for a Navier boundary
value problem involving the p-biharmonic operator; the right hand side of problem is a nonsmooth
functional with variable parameters. The existence of at least three positive solutions is established
by using nonsmooth version of a three critical points theorem for discontinuous functions. Our results
also yield an estimate on the norms of the solutions indepent of the parameters.