Elliptic Problems and the Variational form
dc.contributor.advisor | Tadesse Abdi | |
dc.contributor.author | Wubu Getahun | |
dc.date.accessioned | 2025-09-05T22:12:15Z | |
dc.date.available | 2025-09-05T22:12:15Z | |
dc.date.issued | 2024-09 | |
dc.description.abstract | In this thesis, given a bounded domain Ω⊂𝑅𝑛. we focus on the variational form ∫ Ω{𝛼∇𝑢⋅∇𝜙+𝑎𝑢𝜙}𝑑𝑥=∫ Ω𝑓𝜙𝑑𝑥,𝜙∈𝐻01(Ω) Of an elliptic problem, −𝛼Δ𝑢+𝑎(𝑥)𝑢=𝑓,𝑖𝑛 Ω With various conditions (Dirichlet, Neumann, and Robin) on boundary 𝜕Ω. We provide some general results on uniqueness and also find sub (supper)-solutions with in the frame work of variational setting. | |
dc.identifier.uri | https://etd.aau.edu.et/handle/123456789/7363 | |
dc.language.iso | en_US | |
dc.publisher | Addis Ababa University | |
dc.subject | Elliptic Problems | |
dc.subject | Variational form | |
dc.title | Elliptic Problems and the Variational form | |
dc.type | Thesis |