Journal of Differential EquationsVolume 263, Issue 6, 15 September 2017, Pages 3230-3243On the 2-dimensional dual Minkowski problemAuthor links open overlay panelYongsheng Jiang a b, Yonghong Wu b aShow moreShareCitehttps://doi.org/10.1016/j.jde.2017.04.033Get rights and contentUnder an Elsevier user licenseopen archiveAbstractWe study the 2-dimensional dual Minkowski problem, which is the following nonlinear problem on unit circleu″+u=g(θ)u−1(u2+u′2)(2−k)/2,θ∈S, for any given positive continuous function g(θ) with 2π/m-periodic. We prove that it is solvable for all k∈(1,+∞) and m∈{3,4,5⋯}.Previous article in issueNext article in issueMSC52A3835J1535J96KeywordsDual Minkowski problemLp-Minkowski problemMonge–Ampère equationRecommended articlesCited by (0)© 2017 Elsevier Inc.