A flow method for the dual Orlicz–Minkowski problem

DOI10.1090/tran/8130zbMath1458.35214arXiv2001.08862OpenAlexW3007279683MaRDI QIDQ3298981

Jian Lu, Yan Nan Liu

Publication date: 17 July 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08862

zbMATH Keywords

existence of solutionsGauss curvature flowMonge-Ampére equationdual Orlicz-Minkowski problem

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Monge-Ampère equations (35J96) Geometric evolution equations (53E99)

Related Items (18)

Existence of solution for Lp-Minkowski problem of 0 < p < 1 with measures in ℝn ⋮ A flow approach to the Musielak-Orlicz-Gauss image problem ⋮ Existence and uniqueness of solutions to the Orlicz Aleksandrov problem ⋮ Smooth solutions to the Gauss image problem ⋮ The \(L_p\) Gauss image problem ⋮ A flow method for a generalization of \(L_p\) Christofell-Minkowski problem ⋮ Deforming a convex hypersurface by anisotropic curvature flows ⋮ On the \(L_p\) Gaussian Minkowski problem ⋮ Existence of non-symmetric solutions to the Gaussian Minkowski problem ⋮ A flow method to the Orlicz-Aleksandrov problem ⋮ Unnamed Item ⋮ Orlicz-Minkowski flows ⋮ The \(L_p\)-Gaussian Minkowski problem ⋮ Existence of smooth even solutions to the dual Orlicz-Minkowski problem ⋮ A Gauss curvature flow to the Orlicz-Minkowski problem for torsional rigidity ⋮ A class of Gauss curvature flows and its applications to an even dual Orlicz-Minkowski type problem ⋮ Anisotropic Gauss curvature flows and their associated Dual Orlicz-Minkowski problems ⋮ Inverse Gauss curvature flows and Orlicz Minkowski problem

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