Asymptotic behaviour for the gradient of large solutions to some nonlinear elliptic equations
| dc.creator | Porretta, Alessio | |
| dc.creator | Veron, Laurent | |
| dc.date | 2008-05-16 | |
| dc.date.accessioned | 2026-07-07T12:18:59Z | |
| dc.date.available | 2026-07-07T12:18:59Z | |
| dc.description | If $h$ is a nondecreasing real valued function and $0\leq q\leq 2$, we analyse the boundary behaviour of the gradient of any solution $u$ of $-Δu+h(u)+\abs {\nabla u}^q=f$ in a smooth N-dimensional domain $Ω$ with the condition that $u$ tends to infinity when $x$ tends to $\partialΩ$. We give precise expressions of the blow-up which, in particular, point out the fact that the phenomenon occurs essentially in the normal direction to $\partialΩ$. Motivated by the blow--up argument in our proof, we also give in Appendix a symmetry result for some related problems in the half space. | |
| dc.identifier | https://arxiv.org/abs/0805.2533 | |
| dc.identifier | http://arxiv.org/abs/0805.2533 | |
| dc.identifier | Advanced Nolinear Studies 6 (2006) 351-378 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/212600 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J60 | |
| dc.title | Asymptotic behaviour for the gradient of large solutions to some nonlinear elliptic equations | |
| dc.type | text |