Qualitative Properties of Solutions for an Integral Equation
| dc.creator | Chen, Wenxiong | |
| dc.creator | Li, Congming | |
| dc.creator | Ou, Biao | |
| dc.date | 2003-07-18 | |
| dc.date.accessioned | 2026-07-07T04:59:46Z | |
| dc.date.available | 2026-07-07T04:59:46Z | |
| dc.description | Let $n$ be a positive integer and let $0 < α< n.$ In this paper, we continue our study of the integral equation $$ u(x) = \int_{R^{n}} \frac{u(y)^{(n+α)(n-α)}{|x - y|^{n-α}}dy.$$ We mainly consider singular solutions in subcritical, critical, and super critical cases, and obtain qualitative properties, such as radial symmetry, monotonicity, and upper bounds for the solutions. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0307262 | |
| dc.identifier | http://arxiv.org/abs/math/0307262 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68120 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J99, 45E10, 45G05 | |
| dc.title | Qualitative Properties of Solutions for an Integral Equation | |
| dc.type | text |