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- W2169661195 abstract "We investigate the singular boundary value problem Δu+u −γ =0 in D, u=0 on ∂D, where γ>0. For γ>1, we find the estimate |u(x)−b 0 δ 2/(γ+1) (x)| (γ−1)/(γ+1) (x), where b0 depends on γ only, δ(x) denotes the distance from x to ∂D and is β suitable constant. For γ>0, we prove that the function u(1+γ)/2 is concave whenever D is convex. A similar result is well known for the equation Δu+up=0, with 0≤p≤1. For p=0, p=1 and γ≥1 we prove convexity sharpness results." @default.
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- W2169661195 date "1999-01-01" @default.
- W2169661195 modified "2023-09-26" @default.
- W2169661195 title "Qualitative properties of solutions to elliptic singular problems" @default.
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- W2169661195 doi "https://doi.org/10.1155/s1025583499000223" @default.
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