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- W2805222703 abstract "In this paper, we resolve the planar dual Minkowski problem, proposed by Huang et al. (2016) [31] for all positive indices without any symmetry assumption. More precisely, given any q > 0 , and function f on S 1 , bounded by two positive constants, we show that there exists a convex body Ω in the plane, containing the origin in its interior, whose dual curvature measure C ˜ q ( Ω , ⋅ ) has density f . In particular, if f is smooth, then ∂Ω is also smooth." @default.
- W2805222703 created "2018-06-13" @default.
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- W2805222703 date "2018-07-01" @default.
- W2805222703 modified "2023-09-29" @default.
- W2805222703 title "On the planar dual Minkowski problem" @default.
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- W2805222703 doi "https://doi.org/10.1016/j.aim.2018.05.010" @default.
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