Abstract
In this paper, given a prescribed measure on S 1 \mathbb {S}^1 whose density is bounded and positive, we establish a uniform diameter estimate for solutions to the planar L p L_p dual Minkowski problem when 0 > p > 1 0>p>1 and q ℠2 q\ge 2 . We also prove the uniqueness and positivity of solutions to the L p L_p Minkowski problem when the density of the measure is sufficiently close to a constant in C α C^\alpha .
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
