Entire solutions of sublinear elliptic equations in anisotropic media
| dc.creator | Dinu, Teodora Liliana | |
| dc.date | 2005-11-07 | |
| dc.date.accessioned | 2026-07-07T06:50:56Z | |
| dc.date.available | 2026-07-07T06:50:56Z | |
| dc.description | We study the nonlinear elliptic problem $-Δu=ρ(x)f(u)$ in $\RR^N$ ($N\geq 3$), $\lim\_{|x|\ri\infty}u(x)=\ell$, where $\ell\geq 0$ is a real number, $ρ(x)$ is a nonnegative potential belonging to a certain Kato class, and $f(u)$ has a sublinear growth. We distinguish the cases $\ell>0$ and $\ell=0$ and we prove existence and uniqueness results if the potential $ρ(x)$ decays fast enough at infinity. Our arguments rely on comparison techniques and on a theorem of Brezis and Oswald for sublinear elliptic equations. | |
| dc.identifier | https://arxiv.org/abs/math/0511183 | |
| dc.identifier | http://arxiv.org/abs/math/0511183 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104822 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35B40, 35B50, 35J60, 58J05 | |
| dc.title | Entire solutions of sublinear elliptic equations in anisotropic media | |
| dc.type | text |