Existence result for a Neumann problem
| dc.creator | Halidias, Nikolaos | |
| dc.date | 2003-03-19 | |
| dc.date.accessioned | 2026-07-07T04:56:13Z | |
| dc.date.available | 2026-07-07T04:56:13Z | |
| dc.description | In this paper we are going to show the existence of a nontrivial solution to the following model problem, $\{\begin{array}{lll} - Δ(u) = 2uln(1+u^2)+\frac{|u|^2}{1+u^2}2u+usin(u) {a.e. on} Ω \frac{\partial u}{\partial η} = 0 {a.e. on} \partial Ω. \end{array} \}$ As one can see the right hand side is superlinear. But we can not use an Ambrosetti-Rabinowitz condition in order to obtain that the corresponding energy functional satisfies (PS) condition. However, it follows that the energy functional satisfies the Cerami (PS) condition. | |
| dc.identifier | https://arxiv.org/abs/math/0303242 | |
| dc.identifier | http://arxiv.org/abs/math/0303242 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66841 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35A15 | |
| dc.title | Existence result for a Neumann problem | |
| dc.type | text |