Multiple positive solutions for nonlinear periodic problems

Abstract

We consider a nonlinear periodic equation driven by the scalar p-Laplacian and with a Caratheodory asymptotically (p-1)-linear nonlinearity. Using variational methods coupled with suitable truncation techniques, we show that the problem has at least two positive solutions. For the semilinear case (p=2), using Morse theory we show that the problem has three distinct positive solutions. © 2010 Elsevier Ltd. All rights reserved.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1016/j.na.2010.06.056

Keywords

Morse theory, Mountain pass theorem, Periodic scalar p-Laplacian

Publication Date

12-15-2010

Journal Title

Nonlinear Analysis, Theory, Methods and Applications

Link to Full Text

Share

COinS