Ground and bound states for a static Schrodinger-Poisson-Slater problem
| dc.creator | Ianni, Isabella | |
| dc.creator | Ruiz, David | |
| dc.date | 2009-04-27 | |
| dc.date | 2009-05-15 | |
| dc.date.accessioned | 2026-07-07T13:14:52Z | |
| dc.date.available | 2026-07-07T13:14:52Z | |
| dc.description | In this paper the following version of the Schrodinger-Poisson-Slater problem is studied: $$ - Δu + (u^2 \star \frac{1}{|4πx|}) u=μ|u|^{p-1}u, $$ where $u: \R^3 \to \R$ and $μ>0$. The case $p <2$ being already studied, we consider here $p \geq 2$. For $p>2$ we study both the existence of ground and bound states. It turns out that $p=2$ is critical in a certain sense, and will be studied separately. Finally, we prove that radial solutions satisfy a point-wise exponential decay at infinity for $p>2$. | |
| dc.identifier | https://arxiv.org/abs/0904.4107 | |
| dc.identifier | http://arxiv.org/abs/0904.4107 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230314 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Ground and bound states for a static Schrodinger-Poisson-Slater problem | |
| dc.type | text |