Anisotropic flow, entropy, and $L^p$-Minkowski problem
Canadian journal of mathematics, Tome 77 (2025) no. 1, pp. 1-20
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We provide a natural simple argument using anistropic flows to prove the existence of weak solutions to Lutwak’s $L^p$-Minkowski problem on $S^n$ which were obtained by other methods.
Böröczky, Károly J.; Guan, Pengfei. Anisotropic flow, entropy, and $L^p$-Minkowski problem. Canadian journal of mathematics, Tome 77 (2025) no. 1, pp. 1-20. doi: 10.4153/S0008414X23000792
@article{10_4153_S0008414X23000792,
author = {B\"or\"oczky, K\'aroly J. and Guan, Pengfei},
title = {Anisotropic flow, entropy, and $L^p${-Minkowski} problem},
journal = {Canadian journal of mathematics},
pages = {1--20},
year = {2025},
volume = {77},
number = {1},
doi = {10.4153/S0008414X23000792},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000792/}
}
TY - JOUR AU - Böröczky, Károly J. AU - Guan, Pengfei TI - Anisotropic flow, entropy, and $L^p$-Minkowski problem JO - Canadian journal of mathematics PY - 2025 SP - 1 EP - 20 VL - 77 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000792/ DO - 10.4153/S0008414X23000792 ID - 10_4153_S0008414X23000792 ER -
%0 Journal Article %A Böröczky, Károly J. %A Guan, Pengfei %T Anisotropic flow, entropy, and $L^p$-Minkowski problem %J Canadian journal of mathematics %D 2025 %P 1-20 %V 77 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000792/ %R 10.4153/S0008414X23000792 %F 10_4153_S0008414X23000792
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