Zobrazeno 1 - 10
of 2 452
pro vyhledávání: '"Minkowski problem"'
Autor:
Shi, W., Liu, J. C.
The even Gaussian dual Minkowski problem studied by Feng, Hu and Xu, In this paper, we consider the even $L_p$ dual-Gaussian Minkowski problem for $p>1$. The existence of $o$-symmetric solution in the case $p>1$ is obtained.
Externí odkaz:
http://arxiv.org/abs/2412.13651
In this paper, we consider an extremal problem associated with the solution to a boundary value problem. Our main focus is on establishing a variational formula for a functional related to the $\mathbf{p}$-harmonic measure, from which a new measure i
Externí odkaz:
http://arxiv.org/abs/2412.07561
Autor:
Luo, Tianci, Wei, Yong
The horospherical $p$-Christoffel-Minkowski problem was posed by Li and Xu (2022) as a problem prescribing the $k$-th horospherical $p$-surface area measure of $h$-convex domains in hyperbolic space $\mathbb{H}^{n+1}$. It is a natural generalization
Externí odkaz:
http://arxiv.org/abs/2411.17328
Autor:
Zhao, Xia, Zhao, Peibiao
The Minkowski problem for torsional rigidity ($2$-torsional rigidity) was firstly studied by Colesanti and Fimiani \cite{CA} using variational method. Moreover, Hu \cite{HJ00} also studied this problem by the method of curvature flows and obtained th
Externí odkaz:
http://arxiv.org/abs/2411.00779
This article introduces the $L_p$-Gauss dual curvature measure and proposes its related $L_p$-Gauss dual Minkowski problem as: for $p,q\in\mathbb{R}$, under what necessary and/or sufficient condition on a non-zero finite Borel measure $\mu$ on unit s
Externí odkaz:
http://arxiv.org/abs/2412.13557
Autor:
Hu, Jinrong
The uniqueness results of solutions to the isotropic $L_{p}$ Gaussian Minkowski problem in $\mathbb{R}^{n+1}$ shall be obtained when $-(n+1)
Externí odkaz:
http://arxiv.org/abs/2412.12851
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 convex bodies that are close to the ball in the $C^2$ sense for a cert
Externí odkaz:
http://arxiv.org/abs/2411.17896
We calculate the first order variation of the Riesz $\alpha$-energy of a log-concave function $f$ with respect to the Asplund sum. Such a variational formula induces the Riesz $\alpha$-energy measure of log-concave function $f$, which will be denoted
Externí odkaz:
http://arxiv.org/abs/2408.16141
The Minkowski problem in convex geometry concerns showing a given Borel measure on the unit sphere is, up to perhaps a constant, some type of surface area measure of a convex body. Two types of Minkowski problems in particular are an active area of r
Externí odkaz:
http://arxiv.org/abs/2407.20064
Autor:
Zhao, Xia, Zhao, Peibiao
Recently, Huang and Qin \cite{HY01} introduced the Gaussian chord measure and $L_p$-Gaussian chord measure by variational methods. Meanwhile, they posed Gaussian chord Minkowski problem for $p=1$ and used variational methods to obtain an origin-symme
Externí odkaz:
http://arxiv.org/abs/2406.05635