On Neumann superlinear elliptic problems
| dc.creator | Halidias, Nikolaos | |
| dc.date | 2003-04-01 | |
| dc.date.accessioned | 2026-07-07T04:56:32Z | |
| dc.date.available | 2026-07-07T04:56:32Z | |
| dc.description | In this paper we are going to show the existence of a nontrivial solution to the following model problem, \begin{equation*} \left\{\begin{array}{lll} -Δ(u) = 2uln(1+u^2)+\frac{|u|^2}{1+u^2}2u+u(sin(u)-cos(u)) \mbox{a.e. on } Ω\frac{\partial u}{\partial η} = 0 {a.e. on} \partial Ω. \end{array} \right. \end{equation*} 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/0304003 | |
| dc.identifier | http://arxiv.org/abs/math/0304003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66952 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35A15 | |
| dc.title | On Neumann superlinear elliptic problems | |
| dc.type | text |