On the positive solutions to some quasilinear elliptic partial differential equations
| dc.creator | Mustafa, Octavian G. | |
| dc.creator | Zhou, Yong | |
| dc.date | 2009-04-09 | |
| dc.date.accessioned | 2026-07-07T13:01:56Z | |
| dc.date.available | 2026-07-07T13:01:56Z | |
| dc.description | We establish that the elliptic equation $Δu+f(x,u)+g(| x|)x\cdot \nabla u=0$, where $x\in\mathbb{R}^{n}$, $n\geq3$, and $| x|>R>0$, has a positive solution which decays to 0 as $| x|\to +\infty$ under mild restrictions on the functions $f,g$. The main theorem extends and complements the conclusions of the recent paper [M. Ehrnström, O.G. Mustafa, On positive solutions of a class of nonlinear elliptic equations, Nonlinear Anal. TMA 67 (2007), 1147--1154]. Its proof relies on a general result about the long-time behavior of the logarithmic derivatives of solutions for a class of nonlinear ordinary differential equations and on the comparison method. | |
| dc.identifier | https://arxiv.org/abs/0904.1489 | |
| dc.identifier | http://arxiv.org/abs/0904.1489 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226314 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35A35; 35B40 | |
| dc.title | On the positive solutions to some quasilinear elliptic partial differential equations | |
| dc.type | text |