A sharp Wirtinger inequality and some related functional spaces
| dc.creator | Giova, Raffaella | |
| dc.creator | Ricciardi, Tonia | |
| dc.date | 2008-03-11 | |
| dc.date.accessioned | 2026-07-07T09:26:10Z | |
| dc.date.available | 2026-07-07T09:26:10Z | |
| dc.description | We consider the generalized Wirtinger inequality \[ (\int_{0}^{T} a |u|^q )^{1/q} \le C \biggm(\int_{0}^{T} a^{1-p} |u'|^{p}\biggm)^{1/p}, \] with $p,q>1$, $T>0$, $a\in L^1[0,T]$, $a\ge0$, $a\not\equiv0$ and where $u$ is a $T$-periodic function satisfying the constraint \[ \int_{0}^{T} a |u|^{q-2}u =0. \] We provide the best constant $C>0$ as well as all extremals. Furthermore, we characterize the natural functional space where the inequality is defined. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0803.1557 | |
| dc.identifier | http://arxiv.org/abs/0803.1557 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156656 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 26D15 | |
| dc.title | A sharp Wirtinger inequality and some related functional spaces | |
| dc.type | text |