Pairs of solutions of constant sign for nonlinear periodic equations with unbounded nonlinearity

Abstract

We consider periodic problems driven by the ordinary scalar p-Laplacian with a Caratheodory nonlinearity. Using variational techniques, coupled with the method of upper and lower solutions, we obtain two nontrivial solutions, with one positive and the other negative.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.36045/bbms/1117805083

Keywords

Ekeland variational principle, Green's identity, Maximal monotone operator, Method of upper and lower solutions, p-Laplacian, Periodic solution, Positive solution

Publication Date

1-1-2005

Journal Title

Bulletin of the Belgian Mathematical Society - Simon Stevin

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