Elliptic Problems and the Variational form

dc.contributor.advisorTadesse Abdi
dc.contributor.authorWubu Getahun
dc.date.accessioned2025-09-05T22:12:15Z
dc.date.available2025-09-05T22:12:15Z
dc.date.issued2024-09
dc.description.abstractIn 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.urihttps://etd.aau.edu.et/handle/123456789/7363
dc.language.isoen_US
dc.publisherAddis Ababa University
dc.subjectElliptic Problems
dc.subjectVariational form
dc.titleElliptic Problems and the Variational form
dc.typeThesis

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