Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
DIAMETER ESTIMATE FOR PLANAR L p DUAL MINKOWSKI PROBLEM
- Authors
- Kim, Minhyun; Lee, Taehun
- Issue Date
- Jul-2024
- Publisher
- American Mathematical Society
- Keywords
- L p dual Minkowski problem
- Citation
- Proceedings of the American Mathematical Society, v.152, no.7, pp 3035 - 3049
- Pages
- 15
- Indexed
- SCIE
SCOPUS
- Journal Title
- Proceedings of the American Mathematical Society
- Volume
- 152
- Number
- 7
- Start Page
- 3035
- End Page
- 3049
- ISSN
- 0002-9939
1088-6826
- Abstract
- In this paper, given a prescribed measure on S1 whose density is bounded and positive, we establish a uniform diameter estimate for solutions
to the planar Lp dual Minkowski problem when 0 <p< 1 and q ≥ 2. We also prove the uniqueness and positivity of solutions to the Lp Minkowski problem when the density of the measure is sufficiently close to a constant in Cα.
In this paper, given a prescribed measure on S1 whose density is bounded and positive, we establish a uniform diameter estimate for solutions to the planar Lp dual Minkowski problem when 0 < p < 1 and q ≥ 2. We also prove the uniqueness and positivity of solutions to the Lp Minkowski problem when the density of the measure is sufficiently close to a constant in Cα © 2024 American Mathematical Society.
- Files in This Item
- Go to Link
- Appears in
Collections - 서울 자연과학대학 > 서울 수학과 > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Related Researcher
- Kim, Minhyun
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)