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 …
the sphere and Lutwak's logarithmic Minkowski conjecture about …
Existence of solutions to the Gaussian dual Minkowski problem
Y Feng, Y Li, L Xu - Journal of Differential Equations, 2025 - Elsevier
Gaussian dual curvature measure is introduced and Gaussian dual Minkowski problem is
studied. This problem amounts to solving a class of Monge-Ampère type equations on the …
studied. This problem amounts to solving a class of Monge-Ampère type equations on the …
Anisotropic flow, entropy, and-Minkowski problem
KJ Böröczky, P Guan - Canadian Journal of Mathematics, 2023 - cambridge.org
Anisotropic flow, entropy, and Lp-Minkowski problem Page 1 Canad. J. Math. 2023, pp. 1–20
http://dx.doi.org/10.4153/S0008414X23000792 © The Author(s), 2023. Published by …
http://dx.doi.org/10.4153/S0008414X23000792 © The Author(s), 2023. Published by …
[PDF][PDF] Flow by Gauss curvature to the Lp dual Minkowski problem
In the paper [20], the authors introduced a Gauss curvature flow to study the Aleksandrov
problem and the dual Minkowski problem. The paper [20] treated the cases when one can …
problem and the dual Minkowski problem. The paper [20] treated the cases when one can …
[PDF][PDF] The Isoperimetric inequality, the Brunn-Minkowski theory and Minkowski type Monge-Ampere equations on the sphere
The main topic of the book is how Geometric Isoperimetric-type inequalities intervene with
functional inequalities such as the Prekopa-Leindler inequality, the Sobolev inequality …
functional inequalities such as the Prekopa-Leindler inequality, the Sobolev inequality …
A note on the -Brunn-Minkowski inequality for intrinsic volumes and the -Christoffel-Minkowski problem
K Patsalos, C Saroglou - arXiv preprint arXiv:2411.17896, 2024 - arxiv.org
The first goal of this paper is to improve some of the results in\cite {BCPR}. Namely, we
establish the $ L_p $-Brunn-Minkwoski inequality for intrinsic volumes for origin-symmetric …
establish the $ L_p $-Brunn-Minkwoski inequality for intrinsic volumes for origin-symmetric …
On the functional ∫Ωf + ∫Ω*g
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 …
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
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 …
is of the form(Ω, Ω∗)=∫ Ω f+∫ Ω∗ g, where f, g are given nonnegative functions in a …