Interior estimates for translating solitons of the \(Q_k\)-flows in \(\mathbb{R}^{n+1}\)

DOI10.1007/S00009-022-02225-WOpenAlexW3185621962MaRDI QIDQ2112025

José Torres Santaella

Publication date: 17 January 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.11112

zbMATH Keywords

curvature estimatesfully nonlinear curvature flowinterior gradient estimateLiouville's type result

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Flows related to mean curvature (53E10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interior curvature bounds for a class of curvature equations
• Mean curvature evolution of entire graphs
• Interior estimates for hypersurfaces moving by mean curvature
• Convexity estimates for mean curvature flow and singularities of mean convex surfaces
• Nonlinear degenerate curvature flows for weakly convex hypersurfaces
• Notes on translating solitons for mean curvature flow
• The \(Q_k\) flow on complete non-compact graphs
• Interior estimates for hypersurfaces evolving by their k-th Weingarten curvature and some applications
• Nonlinear second-order elliptic equations V. The dirichlet problem for weingarten hypersurfaces
• Mean curvature flow
• Pinching estimates and motion of hypersurfaces by curvature functions

This page was built for publication: Interior estimates for translating solitons of the \(Q_k\)-flows in \(\mathbb{R}^{n+1}\)