Existence of minimizers for Schrodinger operators under domain perturbations with application to Hardy's inequality
| dc.creator | Pinchover, Yehuda | |
| dc.creator | Tintarev, Kyril | |
| dc.date | 2004-10-05 | |
| dc.date.accessioned | 2026-07-07T05:12:52Z | |
| dc.date.available | 2026-07-07T05:12:52Z | |
| dc.description | The paper studies the existence of minimizers for Rayleigh quotients $μ_Ω=\inf\frac{\int_Ω|\nabla u|^2}{\int_ΩV{|u|^2}} $, where $Ω$ is a domain in $\mathbb{R}^N$, and $V$ is a nonzero nonnegative function that may have singularities on $\partialΩ$. As a model for our results one can take $Ω$ to be a Lipschitz cone and $V$ to be the Hardy potential $V(x)=\frac{1}{|x|^2} $. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0410078 | |
| dc.identifier | http://arxiv.org/abs/math/0410078 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72739 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Spectral Theory | |
| dc.subject | 35J70; 35J20; 49R50 | |
| dc.title | Existence of minimizers for Schrodinger operators under domain perturbations with application to Hardy's inequality | |
| dc.type | text |