Nonuniqueness of Solutions to the LpDual Minkowski Problem

Publication Name

International Mathematics Research Notices

Abstract

The Lp dual Minkowski problem with p < 0 < q is investigated in this paper. By proving a new existence result of solutions and constructing an example, we obtain the nonuniqueness of solutions to this problem.

Volume

2022

Issue

12

First Page

9114

Last Page

9150

Funding Number

DP170100929

Funding Sponsor

Australian Research Council

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Link to publisher version (DOI)

http://dx.doi.org/10.1093/imrn/rnab013