Entire solutions of the nonlinear eigenvalue logistic problem with sign-changing potential and absorbtion
| dc.creator | Dinu, Teodora Liliana | |
| dc.date | 2005-11-07 | |
| dc.date.accessioned | 2026-07-07T06:50:52Z | |
| dc.date.available | 2026-07-07T06:50:52Z | |
| dc.description | We are concerned with positive solutions decaying to zero at infinity for the logistic equation $-Δu=λ(V(x)u-f(u))$ in $\RR^N$, where $V(x)$ is a variable potential that may change sign, $λ$ is a real parameter, and $f$ is an absorbtion term such that the mapping $f(t)/t$ is increasing in $(0,\infty)$. We prove that there exists a bifurcation non-negative number $Λ$ such that the above problem has exactly one solution if $λ>Λ$, but no such a solution exists provided $λ\leqΛ$. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0511156 | |
| dc.identifier | http://arxiv.org/abs/math/0511156 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104801 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35A05, 35B40, 35J60, 37K50, 92D25 | |
| dc.title | Entire solutions of the nonlinear eigenvalue logistic problem with sign-changing potential and absorbtion | |
| dc.type | text |