Weak Solutions for elliptic equations with lower-order terms and L 1 data
| dc.contributor.author | Naasira, Bentoum | |
| dc.contributor.author | Rapporteur: Rabah, Mecheter | |
| dc.date.accessioned | 2025-07-07T12:31:17Z | |
| dc.date.available | 2025-07-07T12:31:17Z | |
| dc.date.issued | 2025-06-15 | |
| dc.description.abstract | In this work, we study the existence of weak solutions for a class of linear elliptic equations with lower-order terms and integrable data. More precisely, we consider problems of the form: − u = 0 div( , M(x)∇u) + a(x)u = f(x), in on Ω ∂ , Ω, where Ω ⊂ R N is a bounded domain, M(x) is an elliptic matrix, a(x) ∈ L 1 (Ω), and f ∈ L 1 (Ω). Since the right-hand side lies in L 1 (Ω), standard variational methods are not applicable. To address this, we construct a sequence of approximate problems whose solutions are well-defined, and establish uniform a priori estimates. Then, using compactness arguments and the theory of pseudo-monotone operators, we prove the existence of a weak solution to the original problem. | |
| dc.identifier.uri | https://repository.univ-msila.dz/handle/123456789/46712 | |
| dc.language.iso | en | |
| dc.publisher | Mohamed Boudiaf University of M'sila | |
| dc.subject | Elliptic equations | |
| dc.subject | weak solution | |
| dc.subject | integrable data | |
| dc.subject | pseudo-monotone operators | |
| dc.subject | lower-order terms | |
| dc.title | Weak Solutions for elliptic equations with lower-order terms and L 1 data | |
| dc.type | Thesis |