Non-smooth extension of a three critical points theorem by Ricceri with an application to p(x)-Laplacian differential inclusions

We extend a smooth Ricceri three critical-points theorem to a non-smooth case. Our approach is based on the non-smooth analysis. As an application, we obtain the existence of at least three critical points for a p(x)-Laplacian differential inclusion.

Bibliographic Details
Main Authors: Ziqing Yuan, Lihong Huang
Format: Article
Language:English
Published: Texas State University 2015-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/232/abstr.html