Asymptotic behavior of positive solutions of some quasilinear elliptic problems
| dc.creator | Guo, Zhongmin | |
| dc.creator | Ma, Li | |
| dc.date | 2003-12-26 | |
| dc.date.accessioned | 2026-07-07T05:04:12Z | |
| dc.date.available | 2026-07-07T05:04:12Z | |
| dc.description | We discuss the asymptotic behavior of positive solutions of the quasilinear elliptic problem $-Δ_p u=a u^{p-1}-b(x) u^q$, $u|_{\partial Ω}=0$ as $q \to p-1+0$ and as $q \to \infty$ via a scale argument. Here $Δ_p$ is the $p$-Laplacian with $1<p<\infty$ and $q>p-1$. If $p=2$, such problems arise in population dynamics. Our main results generalize the results for $p=2$, but some technical difficulties arising from the nonlinear degenerate operator $-Δ_p$ are successfully overcome. As a by-product, we can solve a free boundary problem for a nonlinear $p$-Laplacian equation. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312464 | |
| dc.identifier | http://arxiv.org/abs/math/0312464 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69714 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B45 | |
| dc.title | Asymptotic behavior of positive solutions of some quasilinear elliptic problems | |
| dc.type | text |