Nonlinear and non-coercive elliptic problems with integrable data
| dc.creator | Ali, Mohsen Ben Cheikh | |
| dc.creator | Guibé, Olivier | |
| dc.date | 2008-03-12 | |
| dc.date.accessioned | 2026-07-07T12:17:35Z | |
| dc.date.available | 2026-07-07T12:17:35Z | |
| dc.description | In this paper we study existence and uniqueness of renormalized solution to the following problem $λ(x,u) -div a(x,Du) +Φ(x,u)) =f$ with $f$ in $L^1$ and with Dirichlet-Neumann boundary condition. The main difficulty in this task is that in general the operator entering in the above equation is not coercive in a Sobolev space. Moreover, the possible degenerate character of $λ$ with respect to $u$ renders more complex the proof of uniqueness for integrable data $f$. | |
| dc.identifier | https://arxiv.org/abs/0803.1781 | |
| dc.identifier | http://arxiv.org/abs/0803.1781 | |
| dc.identifier | Advances in Mathematical Sciences and Applications 16, 1 (2006) 275--297 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/212127 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J65 (35D05 35J60) | |
| dc.title | Nonlinear and non-coercive elliptic problems with integrable data | |
| dc.type | text |