Self-similar solutions to fully nonlinear curvature flows by high powers of curvature

DOI10.1515/crelle-2021-0068zbMath1497.53018arXiv2011.04200OpenAlexW3201800383MaRDI QIDQ2121996

Shanze Gao, Xian Feng Wang, Haizhong Li

Publication date: 5 April 2022

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.04200

zbMATH Keywords

self-similar solutionsclosed strictly convexfully nonlinear curvature flowshigh powers of curvature

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Geometric evolution equations (53E99) Flows related to mean curvature (53E10)

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Closed self-similar solutions to flows by negative powers of curvature ⋮ Uniqueness of solutions to a class of mixed Hessian quotient type equations

Cites Work

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• Convex hypersurfaces with pinched principal curvatures and flow of convex hypersurfaces by high powers of curvature
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• Pinching estimates and motion of hypersurfaces by curvature functions

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