Nonuniqueness of Solutions to the <i>Lp</i> Dual Minkowski Problem
Qi-Rui Li, Jiakun Liu, Jian Lu
Abstract
Abstract The $L_p$ dual Minkowski problem with $p&lt;0&lt;q$ 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.
Topics & Concepts
MathematicsMinkowski spaceDual (grammatical number)Minkowski's theoremPure mathematicsCombinatoricsApplied mathematicsMathematical physicsLiteratureArtPoint processes and geometric inequalitiesGeometric Analysis and Curvature FlowsMorphological variations and asymmetry