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Nonuniqueness of Solutions to the Lp Dual Minkowski Problem

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Publication:5082297
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DOI10.1093/imrn/rnab013zbMath1491.35259arXiv1910.06879OpenAlexW3139288584MaRDI QIDQ5082297

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Publication date: 16 June 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06879


zbMATH Keywords

existencenon-uniquenessMonge-Ampére-type equation


Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Monge-Ampère equations (35J96)


Related Items (8)

Smooth solutions to the Gauss image problem ⋮ The \(L_p\) Gauss image problem ⋮ \(L_p\)-curvature measures and \(L_{p, q}\)-mixed volumes ⋮ Variational analysis of the planar \(L_p\) dual Minkowski problem ⋮ On the uniqueness of solutions to the isotropic \(L_p\) dual Minkowski problem ⋮ Nonuniqueness of solutions to the \(L_p\) chord Minkowski problem ⋮ \(C^{1,1}\) regularity for solutions to the degenerate \(L_p\) dual Minkowski problem ⋮ Existence of smooth even solutions to the dual Orlicz-Minkowski problem




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