Uniqueness of self-shrinkers to the degree-one curvature flow with a tangent cone at infinity

DOI10.1007/S00526-018-1356-4zbMath1394.53069arXiv1604.08577OpenAlexW2964219166WikidataQ129887195 ScholiaQ129887195MaRDI QIDQ1650890

Siao-Hao Guo

Publication date: 16 July 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08577

zbMATH Keywords

\(f\) self-shrinkerembedded smooth conesymmetric homogeneous function

Mathematics Subject Classification ID

Related Items (1)

Existence of self-shrinkers to the degree-one curvature flow with a rotationally symmetric conical end

Cites Work

• The harmonic mean curvature flow of nonconvex surfaces in \({\mathbb{R}^3}\)
• A compactness theorem for surfaces with \(L_ p\)-bounded second fundamental form
• Contraction of convex hypersurfaces in Euclidean space
• Unique continuation for parabolic operators
• Backward uniqueness for parabolic equations
• Nonlinear degenerate curvature flows for weakly convex hypersurfaces
• Existence of self-shrinkers to the degree-one curvature flow with a rotationally symmetric conical end
• Self-shrinkers with a rotational symmetry
• Uniqueness of self-similar shrinkers with asymptotically conical ends
• On a question of Landis and Oleinik
• Doubling properties of caloric functions
• Backward uniqueness for parabolic operators with variable coefficients in a half space

This page was built for publication: Uniqueness of self-shrinkers to the degree-one curvature flow with a tangent cone at infinity