Document Type : Research Paper

Authors

• M. B. Ghaemi ¹
• S. Mir ²

¹ Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran

² Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran

Abstract

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.

Keywords

• p-biharmonic
• nonsmooth nonlinearity
• Critical points