A curvature flow approach to $L^p$ Christoffel-Minkowski problem for \(1

DOI10.1007/s00025-023-02069-0arXiv2301.06491OpenAlexW4390699834MaRDI QIDQ6140066

Publication date: 19 January 2024

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.06491

zbMATH Keywords

gradient estimates curvature flows Christoffel-Minkowski problem

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Quasilinear parabolic equations with mean curvature operator (35K93)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
A form of Alexandrov-Fenchel inequality
The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
Flow of nonconvex hypersurfaces into spheres
An expansion of convex hypersurfaces
Evolving convex curves
The Christoffel-Minkowski problem. I: Convexity of solutions of a Hessian equation
Deforming a hypersurface by principal radii of curvature and support function
$L^p$ Christoffel-Minkowski problem: the case $1< p<k+1$
On the Christoffel-Minkowski problem of Firey's $p$-sum
On the regularity of solutions to a generalization of the Minkowski problem
Aleksandrov reflection and nonlinear evolution equations. I: The $n$-sphere and $n$-ball
Rotationally symmetric solutions to the $L_p$-Minkowski problem
A class of anisotropic expanding curvature flows
Asymptotic convergence for a class of fully nonlinear curvature flows
The $L_p$ Minkowski problem for polytopes for $0 < p < 1$
The $L_p$-Minkowski problem and the Minkowski problem in centroaffine geometry
On elliptic Monge-Ampère equations and Weyl's embedding problem
Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
Non-scale-invariant inverse curvature flows in Euclidean space
The k-Hessian Equation
On the regularity of the solution of then-dimensional Minkowski problem
A class of inverse curvature flows and 𝐿^{𝑝} dual Christoffel-Minkowski problem
Pinching estimates and motion of hypersurfaces by curvature functions
$p$-Means of Convex Bodies.
The Weyl and Minkowski problems in differential geometry in the large
Christoffel-Minkowski flows

This page was built for publication: A curvature flow approach to $L^p$ Christoffel-Minkowski problem for $1<p<k+1$

A curvature flow approach to \(L^p\) Christoffel-Minkowski problem for \(1