A multiplicity result for the problem $δd ξ= f'(<ξ,ξ>)ξ$
| dc.creator | Azzollini, Antonio | |
| dc.date | 2007-01-25 | |
| dc.date.accessioned | 2026-07-07T07:43:19Z | |
| dc.date.available | 2026-07-07T07:43:19Z | |
| dc.description | In this paper we consider the nonlinear equation involving differential forms on a compact Riemannian manifold $δd ξ= f'(<ξ,ξ>)ξ$. This equation is a generalization of the semilinear Maxwell equations recently introduced in a paper by Benci and Fortunato. We obtain a multiplicity result both in the positive mass case (i.e. $f'(t)\geqε>0$ uniformly) and in the zero mass case ($f'(t)\geq 0$ and $f'(0)=0$) where a strong convexity hypothesis on the nonlinearity is assumed. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701757 | |
| dc.identifier | http://arxiv.org/abs/math/0701757 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122778 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q55 | |
| dc.title | A multiplicity result for the problem $δd ξ= f'(<ξ,ξ>)ξ$ | |
| dc.type | text |