Translating solutions to the Gauss curvature flow with flat sides
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Publication:2231279
DOI10.2140/apde.2021.14.595OpenAlexW3138779802WikidataQ114045437 ScholiaQ114045437MaRDI QIDQ2231279
Kyeongsu Choi, Ki-Ahm Lee, Panagiota Daskalopoulos
Publication date: 29 September 2021
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.07206
Related Items (6)
Translators of flows by powers of the Gauss curvature ⋮ Entire self-expanders for power of \(\sigma_k\) curvature flow in Minkowski space ⋮ Translating solitons to flows by powers of the Gaussian curvature in Riemannian products ⋮ The obstacle problem for the Monge-Ampère equation with the lower obstacle ⋮ The obstacle problem for parabolic Monge-Ampère equation ⋮ Convergence of Gauss curvature flows to translating solitons
Cites Work
- Deforming convex hypersurfaces by the \(n\)th root of the Gaussian curvature
- Global Hölder estimates for equations of Monge-Ampère type
- Complete noncompact self-similar solutions of Gauss curvature flows. I: Positive powers
- Motion of hypersurfaces by Gauss curvature
- Entropy and a convergence theorem for Gauss curvature flow in high dimension
- Asymptotic behavior of flows by powers of the Gaussian curvature
- Gauss curvature flow: The fate of the rolling stones
- Worn stones with flat sides all time regularity of the interface
- Contraction of convex hypersurfaces by their affine normal
- \(\alpha \)-Gauss curvature flows with flat sides
- Surfaces moving by powers of Gauss curvature
- The evolution of complete non-compact graphs by powers of Gauss curvature
- Flow by powers of the Gauss curvature
- Deforming a hypersurface by its Gauss-Kronecker curvature
- Shapes of worn stones
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