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| dc.contributor.advisor | Sabra, Ahmad |
| dc.contributor.author | Berjawi, Fatima |
| dc.date.accessioned | 2024-05-09T05:19:19Z |
| dc.date.available | 2024-05-09T05:19:19Z |
| dc.date.issued | 2024-05-09 |
| dc.date.submitted | 2024-05-07 |
| dc.identifier.uri | http://hdl.handle.net/10938/24423 |
| dc.description.abstract | In this work, we focus on studying the Aleksandrov solution of the Monge-Ampère equation. Initially, we develop the notion of a normal mapping and discuss its properties through proving concepts from convex analysis. Moreover, we define the Monge-Ampère measure over a Borel sigma algebra as well as proving the maximum and comparison principles of this equation. We conclude our study with solving the homogeneous and non-homogeneous Dirichlet problems for the Monge-Ampère operator. |
| dc.language.iso | en |
| dc.subject.lcsh | Monge-Ampère equations |
| dc.title | Monge-Ampère Equation |
| dc.type | Thesis |
| dc.contributor.department | Department of Mathematics |
| dc.contributor.faculty | Faculty of Arts and Sciences |
| dc.contributor.commembers | Shayya, Bassam |
| dc.contributor.commembers | Tlas, Tamer |
| dc.contributor.degree | MS |
| dc.contributor.AUBidnumber | 202371091 |
