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EnglishWe consider nonlinear periodic systems driven by the p-Laplacian and with a nonsmooth locally Lipschitz potential function. In the right hand side forcing term, we have the combined effects of p-sublinear (concave) and p-superlinear (convex) terms. However, the p-superlinear term need not satisfy the Ambrosetti-Rabinowitz condition. By combining nonsmooth critical point theory with the Ekeland variational principle, we show that the system has at least two nontrivial periodic solutions.
| Titolo: | Multiple solutions for nonlinear periodic systems with combined nonlinearities and a nonsmooth potential |
| Autori: | |
| Data di pubblicazione: | 2012 |
| Rivista: | |
| Abstract: | We consider nonlinear periodic systems driven by the p-Laplacian and with a nonsmooth locally Lipschitz potential function. In the right hand side forcing term, we have the combined effects of p-sublinear (concave) and p-superlinear (convex) terms. However, the p-superlinear term need not satisfy the Ambrosetti-Rabinowitz condition. By combining nonsmooth critical point theory with the Ekeland variational principle, we show that the system has at least two nontrivial periodic solutions. |
| Handle: | http://hdl.handle.net/11566/48309 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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