A nonsmooth variational approach to differential problems. A case study of nonresonance under the first eigenvalue for a strongly nonlinear elliptic problem
| dc.creator | Jabri, Youssef | |
| dc.date | 2002-02-12 | |
| dc.date.accessioned | 2026-07-07T04:46:24Z | |
| dc.date.available | 2026-07-07T04:46:24Z | |
| dc.description | We adapt a technique of nonsmooth critical point theory developed by Degiovanni-Zani for a semilinear problem involving the Laplacian to the the case of the $p$-Laplacian. We suppose only coercivity conditions on the potential and impose no growth condition of the nonlinearity. The coercivity is obtained using similar nonresonance conditions to [Mawhin-Ward-Willem] and to [Landesman-Lazer] in two different results and using some comparison functions and comparison spaces in a third one. It is also shown that neither of the three theorems implies the two others. | |
| dc.identifier | https://arxiv.org/abs/math/0202106 | |
| dc.identifier | http://arxiv.org/abs/math/0202106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63317 | |
| dc.subject | Functional Analysis | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35D05; 58E05; 35A15 | |
| dc.title | A nonsmooth variational approach to differential problems. A case study of nonresonance under the first eigenvalue for a strongly nonlinear elliptic problem | |
| dc.type | text |