A class of anisotropic expanding curvature flows

DOI10.3934/dcds.2020104zbMath1433.53118arXiv1905.04713OpenAlexW3104154574MaRDI QIDQ1988300

Caihong Yi, Weimin Sheng

Publication date: 16 April 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04713

zbMATH Keywords

asymptotic behavioursmooth solutionexpanding flow\(L_p\) Christoffel-Minkowski problemuniformly convex hypersuface

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Parabolic Monge-Ampère equations (35K96) Flows related to mean curvature (53E10)

Related Items (11)

A class of inverse curvature flows and 𝐿^{𝑝} dual Christoffel-Minkowski problem ⋮ Existence and uniqueness of solutions to the Orlicz Aleksandrov problem ⋮ A flow method for a generalization of \(L_p\) Christofell-Minkowski problem ⋮ Deforming a convex hypersurface by anisotropic curvature flows ⋮ Existence of non-symmetric solutions to the Gaussian Minkowski problem ⋮ Flow by 𝜎_{𝑘} curvature to the Orlicz Christoffel-Minkowski problem ⋮ A flow approach to the planar Lp$L_p$ Minkowski problem ⋮ A curvature flow approach to \(L^p\) Christoffel-Minkowski problem for \(1<p<k+1\) ⋮ Anisotropic area-preserving nonlocal flow for closed convex plane curves ⋮ A class of curvature flows expanded by support function and curvature function ⋮ A class of curvature flows expanded by support function and curvature function in the Euclidean space and hyperbolic space

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