Mean curvature flow in a Riemannian manifold endowed with a Killing vector field

DOI10.2140/pjm.2020.308.435zbMath1459.53085OpenAlexW3111898836WikidataQ115230555 ScholiaQ115230555MaRDI QIDQ827451

Liangjun Weng

Publication date: 8 January 2021

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

Full work available at URL: https://doi.org/10.2140/pjm.2020.308.435

zbMATH Keywords

mean curvature flowKilling vector fieldwarped product manifolduniform gradient estimatevariable contact angle

Mathematics Subject Classification ID

Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Flows related to mean curvature (53E10)

Cites Work

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• Gradient estimates of mean curvature equations with Neumann boundary value problems
• Killing graphs with prescribed mean curvature
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• Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
• Constant mean curvature surfaces and mean curvature flow with non-zero Neumann boundary conditions on strictly convex domains
• Height estimates for Killing graphs
• On the boundary ergodic problem for fully nonlinear equations in bounded domains with general nonlinear Neumann boundary conditions
• Space-Time Periodic Solutions and Long-Time Behavior of Solutions to Quasi-linear Parabolic Equations
• A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton–Jacobi Equations
• Maximum principle gradient estimates for the capillary problem
• Evolution of nonparametric surfaces with speed depending on curvature II. The mean curvature case
• Nonparametric Mean Curvature Type Flows of Graphs with Contact Angle Conditions
• Mean curvature flow of Killing graphs
• Geometric Analysis

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