Hardy Type Inequalities Related to Degenerate Elliptic Differential Operators
| dc.creator | D'Ambrosio, Lorenzo | |
| dc.date | 2006-03-08 | |
| dc.date.accessioned | 2026-07-07T07:06:39Z | |
| dc.date.available | 2026-07-07T07:06:39Z | |
| dc.description | We prove some Hardy type inequalities related to quasilinear second order degenerate elliptic differential operators L_p(u):=-\nabla_L^*(\abs{\nabla_L u}^{p-2}\nabla_L u). If ϕis a positive weight such that -L_pϕ>= 0, then the Hardy type inequality c\int_Ω\frac{\abs u^p}{ϕ^p}\abs{\nabla_L ϕ}^p dξ\le \int_Ω\abs{\nabla_L u}^p dξholds. We find an explicit value of the constant involved, which, in most cases, results optimal. As particular case we derive Hardy inequalities for subelliptic operators on Carnot Groups. | |
| dc.description | 37 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603187 | |
| dc.identifier | http://arxiv.org/abs/math/0603187 | |
| dc.identifier | Ann. Scuola Norm. Sup. Pisa Cl. Sci. ser. 5, vol IV (2005), 451-486 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110103 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35H10; 22E30; 26D10; 46E35 | |
| dc.title | Hardy Type Inequalities Related to Degenerate Elliptic Differential Operators | |
| dc.type | text |