Super-linear elliptic equation for the Pucci operator without growth restrictions for the data
| dc.creator | Esteban, Maria J. | |
| dc.creator | Felmer, Patricio | |
| dc.creator | Quaas, Alexander | |
| dc.date | 2007-12-09 | |
| dc.date.accessioned | 2026-07-07T08:48:10Z | |
| dc.date.available | 2026-07-07T08:48:10Z | |
| dc.description | In this paper we deal with existence and uniqueness of solution to super-linear problems for the Pucci operator: $$ -\M^+(D^2u)+|u|^{s-1}u=f(x) \quad {in} \RR^n, $$ where $s>1$ and $f$ satisfies only local integrability conditions. This result is well known when, instead of the Pucci operator, the Laplacian or a divergence form operator is considered. Our existence results use the Alexandroff-Bakelman-Pucci inequality since we cannot use any variational formulation. For radially symmetric $f$ we can prove our results under less local integrability assumptions, taking advantage of an appropriate variational formulation. We also obtain an existence result with boundary explosion in smooth domains. | |
| dc.identifier | https://arxiv.org/abs/0712.1331 | |
| dc.identifier | http://arxiv.org/abs/0712.1331 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143855 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J60 | |
| dc.title | Super-linear elliptic equation for the Pucci operator without growth restrictions for the data | |
| dc.type | text |