Uniqueness of positive bound states to Schrodinger systems with critical exponents
| dc.creator | Li, Congming | |
| dc.creator | Ma, Li | |
| dc.date | 2007-08-02 | |
| dc.date.accessioned | 2026-07-07T08:21:52Z | |
| dc.date.available | 2026-07-07T08:21:52Z | |
| dc.description | We prove the uniqueness for the positive solutions of the following elliptic systems: \begin{eqnarray*} \left\{\begin{array}{ll} - \lap (u(x)) = u(x)^αv(x)^β - \lap (v(x)) = u(x)^β v(x)^α \end{array} \right. \end{eqnarray*} Here $x\in R^n$, $n\geq 3$, and $1\leq α, β\leq \frac{n+2}{n-2}$ with $α+β=\frac{n+2}{n-2}$. In the special case when $n=3$ and $α=2, β=3$, the systems come from the stationary Schrodinger system with critical exponents for Bose-Einstein condensate. As a key step, we prove the radial symmetry of the positive solutions to the elliptic system above with critical exponents. | |
| dc.identifier | https://arxiv.org/abs/0708.0286 | |
| dc.identifier | http://arxiv.org/abs/0708.0286 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135464 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J45, 35J60, 45G05, 45G15 | |
| dc.title | Uniqueness of positive bound states to Schrodinger systems with critical exponents | |
| dc.type | text |