Deforming a hypersurface by Gauss curvature and support function

DOI10.1016/j.jfa.2016.07.003zbMath1346.53060arXiv1501.05456OpenAlexW2963639328MaRDI QIDQ306556

Mohammad N. Ivaki

Publication date: 31 August 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05456

zbMATH Keywords

entropy functional\(\mathrm{SL}(n)\)-invariant curvature flowcurvature flowsinverse Gauss curvature flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (21)

Christoffel-Minkowski flows ⋮ A unified flow approach to smooth, even \(L_p\)-Minkowski problems ⋮ A class of inverse curvature flows and 𝐿^{𝑝} dual Christoffel-Minkowski problem ⋮ Deforming a hypersurface by principal radii of curvature and support function ⋮ Flow by powers of the Gauss curvature ⋮ Existence and uniqueness of solutions to the Orlicz Aleksandrov problem ⋮ Smooth solutions to the Gauss image problem ⋮ On the stability of the \(L_p\)-curvature ⋮ Deforming a convex hypersurface by anisotropic curvature flows ⋮ A priori estimates and existence of solutions to the prescribed centroaffine curvature problem ⋮ Existence of non-symmetric solutions to the Gaussian Minkowski problem ⋮ ITERATIONS OF CURVATURE IMAGES ⋮ A class of curvature flows expanded by support function and curvature function ⋮ Unnamed Item ⋮ Orlicz-Minkowski flows ⋮ A flow method for the dual Orlicz–Minkowski problem ⋮ Deforming a convex hypersurface with low entropy by its Gauss curvature ⋮ A class of curvature flows expanded by support function and curvature function in the Euclidean space and hyperbolic space ⋮ Existence of smooth even solutions to the dual Orlicz-Minkowski problem ⋮ A class of Gauss curvature flows and its applications to an even dual Orlicz-Minkowski type problem ⋮ Inverse Gauss curvature flows and Orlicz Minkowski problem

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