TL;DR
This paper investigates the planar Lp-Minkowski problem for all p, focusing on conditions for solvability and uniqueness, thereby advancing understanding of this geometric problem.
Contribution
It provides a comprehensive analysis of the solvability and uniqueness of the planar Lp-Minkowski problem for all p, filling gaps in existing geometric theory.
Findings
Conditions for solvability established
Uniqueness results demonstrated for various p
Enhanced understanding of planar Lp-Minkowski problem
Abstract
In this paper, we study the planar Lp-Minkowski problem for all p, which was introduced by Lutwak [23]. A detailed exploration on solvability and uniqueness will be presented.
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