Lieb-Thirring Inequalities for Fourth-Order Operators in Low Dimensions
| dc.creator | Ekholm, Tomas | |
| dc.creator | Enblom, Andreas | |
| dc.date | 2008-11-02 | |
| dc.date | 2009-01-11 | |
| dc.date.accessioned | 2026-07-07T12:27:47Z | |
| dc.date.available | 2026-07-07T12:27:47Z | |
| dc.description | This paper considers Lieb-Thirring inequalities for higher order differential operators. A result for general fourth-order operators on the half-line is developed, and the trace inequality tr((-Delta)^2 - C^{HR}_{d,2} / (|x|^4) - V(x))^{-γ} < C_γ\int_{R^d} V(x)_+^{γ+ d/4} dx for gamma \geq 1 - d/4, where C^{HR}_{d,2} is the sharp constant in the Hardy-Rellich inequality and where C_γ> 0 is independent of V, is proved for dimensions d = 1,3. As a corollary of this inequality a Sobolev-type inequality is obtained. | |
| dc.identifier | https://arxiv.org/abs/0811.0189 | |
| dc.identifier | http://arxiv.org/abs/0811.0189 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215327 | |
| dc.subject | Spectral Theory | |
| dc.title | Lieb-Thirring Inequalities for Fourth-Order Operators in Low Dimensions | |
| dc.type | text |