A priori bounds, existence, and uniqueness of smooth solutions to an anisotropic Lp Minkowski problem for log-concave measure
In the present article, we prove the existence and uniqueness of smooth solutions to an anisotropic Lp{L}_{p} Minkowski problem for the log-concave measure. Our proof of the existence is based on the well-known continuous method whose crucial factor is the a priori bounds of an auxiliary problem. Th...
Main Author: | Chen Zhengmao |
---|---|
Format: | Article |
Language: | English |
Published: |
De Gruyter
2023-06-01
|
Series: | Advanced Nonlinear Studies |
Subjects: | |
Online Access: | https://doi.org/10.1515/ans-2022-0068 |
Similar Items
-
A priori bounds and existence of smooth solutions to Minkowski problems for log-concave measures in warped product space forms
by: Zhengmao Chen
Published: (2023-04-01) -
Flow by Gauss curvature to the $ L_p $ dual Minkowski problem
by: Qiang Guang, et al.
Published: (2023-08-01) -
The Lp chord Minkowski problem
by: Xi Dongmeng, et al.
Published: (2023-01-01) -
Inverse Gauss Curvature Flows and Orlicz Minkowski Problem
by: Chen Bin, et al.
Published: (2022-11-01) -
The Monge-Ampere equation /
by: Gutierrez, Cristian E., 1950-
Published: (2001)