Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type
| dc.creator | Felli, Veronica | |
| dc.creator | Schneider, Matthias | |
| dc.date | 2002-03-20 | |
| dc.date | 2002-07-12 | |
| dc.date.accessioned | 2026-07-07T04:47:11Z | |
| dc.date.available | 2026-07-07T04:47:11Z | |
| dc.description | We find for small $ε$ positive solutions to the equation \[-\textrm{div} (|x|^{-2a}\nabla u)-\displaystyle{\fracλ{|x|^{2(1+a)}}} u= \Big(1+εk(x)\Big)\frac{u^{p-1}}{|x|^{bp}}\] in ${\mathbb{R}}^N$, which branch off from the manifold of minimizers in the class of radial functions of the corresponding Caffarelli-Kohn-Nirenberg type inequality. Moreover, our analysis highlights the symmetry-breaking phenomenon in these inequalities, namely the existence of non-radial minimizers. | |
| dc.description | 15 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0203208 | |
| dc.identifier | http://arxiv.org/abs/math/0203208 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63614 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Functional Analysis | |
| dc.subject | 35J20, 35B33, 35B20 | |
| dc.title | Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type | |
| dc.type | text |