Multiple solutions for resonant nonlinear periodic equations |
| |
Authors: | D Motreanu V V Motreanu N S Papageorgiou |
| |
Institution: | 1. Département de Mathématiques, Université de Perpignan, 66860, Perpignan, France 2. Institut für Mathematik, Universit?t Zürich, 8057, Zurich, Switzerland 3. Department of Mathematics, National Technical University, 15780, Athens, Greece
|
| |
Abstract: | We consider a nonlinear periodic problem driven by the scalar p-Laplacian, with an asymptotically (p?1)-linear nonlinearity. We permit resonance with respect to the second positive eigenvalue of the negative periodic scalar p-Laplacian and we assume nonuniform nonresonance with respect to the first positive eigenvalue. Using a combination of variational methods, with truncation techniques and Morse theory, we show that the problem has at least three nontrivial solutions. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|