Positive Periodic and Homoclinic Solutions for Nonlinear Differential Equations with Nonsmooth Potential |
| |
| Authors: | Shouchuan Hu Nikolaos S. Papageorgiou |
| |
| Affiliation: | (1) Department of Mathematics, Southwest Missouri State University, Springfield, MO 65804, USA;(2) Department of Mathematics, National Technical University, Athens, 15780, Greece |
| |
| Abstract: | We study the existence of positive solutions and of positive homoclinic (to zero) solutions for a class of periodic problems driven by the scalar ordinary p-Laplacian and having a nonsmooth potential. Our approach is variational based on the nonsmooth critical point theory and our results extend the recent works of Korman–Lazer (Electronic JDE (1994)) and of Grossinho–Minhos–Tersian (J. Math. Anal. Appl. 240 (1999)). |
| |
| Keywords: | 34B15 34C25 34C37 34A60 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
