Nonlinear weighted elliptic equations with L 1 data
| dc.contributor.author | Djerida, Chaima | |
| dc.contributor.author | Rabah, Mecheter: Supervisor | |
| dc.date.accessioned | 2024-07-10T10:36:41Z | |
| dc.date.available | 2024-07-10T10:36:41Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | in this work, we prove the existence of a weak solution of elliptic problem (P) defined by (P) ( −div(S(x)|∇u| p−2∇u) + e(x)|u| p−2u = f in Ω; u = 0 on ∂Ω, with f ∈ L 1 (Ω). The weighted p-Laplacian operator Au = −div(S(x)|∇u| p−2∇u), 1 < p < ∞ is a pseudo-monotone operator on W 1,p 0 (Ω) despite being well-defined between W 1,p 0 (Ω) and its dual W−1,p0 (Ω). The method of solving our problem consist of obtaining local estimates for suitable approximate problems and then passing to the limit. | |
| dc.identifier.uri | https://dspace.univ-msila.dz/handle/123456789/43550 | |
| dc.language.iso | en | |
| dc.publisher | Mohamed Boudiaf University of M'sila | |
| dc.subject | Weighted Sobolev spaces | |
| dc.subject | pseudo-monotone | |
| dc.subject | operator nonlinear | |
| dc.subject | elliptic equation | |
| dc.subject | weak solution | |
| dc.title | Nonlinear weighted elliptic equations with L 1 data | |
| dc.type | Thesis |