Entire positive solutions of the singular Emden-Fowler equation with nonlinear gradient term
| dc.creator | Dinu, Teodora Liliana | |
| dc.date | 2005-11-07 | |
| dc.date.accessioned | 2026-07-07T06:50:53Z | |
| dc.date.available | 2026-07-07T06:50:53Z | |
| dc.description | Let $p$ and $q$ be locally Hölder functions in $\RR^N$, $p>0$ and $q\geq 0$. We study the Emden-Fowler equation $-Δu+ q(x)|\nabla u|^a=p(x)u^{-γ}$ in $\RR^N$, where $a$ and $γ$ are positive numbers. Our main result establishes that the above equation has a unique positive solutions decaying to zero at infinity. Our proof is elementary and it combines the maximum principle for elliptic equations with a theorem of Crandall, Rabinowitz and Tartar. | |
| dc.identifier | https://arxiv.org/abs/math/0511164 | |
| dc.identifier | http://arxiv.org/abs/math/0511164 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104808 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35A05, 35B50, 35J60, 58J05 | |
| dc.title | Entire positive solutions of the singular Emden-Fowler equation with nonlinear gradient term | |
| dc.type | text |