The logarithmic Minkowski conjecture and the Lp-Minkowski problem

KJ Böröczky - Harmonic Analysis and Convexity, 2022 - degruyter.com
ThecurrentstateoftheartconcerningtheLp-MinkowskiproblemasaMonge–Ampère equation on
the sphere and Lutwak's logarithmic Minkowski conjecture about …

Flow by powers of the Gauss curvature in space forms

M Chen, J Huang - Advances in Mathematics, 2024 - Elsevier
In this paper, we prove that convex hypersurfaces under the flow by powers α> 0 of the
Gauss curvature in space forms N n+ 1 (κ) of constant sectional curvature κ (κ=±1) contract …

On the functional ∫Ωf + ∫Ω*g

Q Guang, QR Li, XJ Wang - Advanced Nonlinear Studies, 2024 - degruyter.com
In this paper, we consider a class of functionals subject to a duality restriction. The functional
is of the form J (Ω, Ω*)=∫ Ω f+∫ Ω* g, where f, g are given nonnegative functions in a …

On the functional∫ 𝛀 f+∫ 𝛀

Q Guang, QR Li, XJ Wang - degruyter.com
In this paper, we consider a class of functionals subject to a duality restriction. The functional
is of the form(Ω, Ω∗)=∫ Ω f+∫ Ω∗ g, where f, g are given nonnegative functions in a …

[引用][C] A Monge-Ampère Type Functional and Related Prescribing Curvature Problems

Q LI - Surveys in Geometric Analysis Volume 5, 2021, 2024 - EDP Sciences