An integer degree for asymptotically conical self-expanders

DOI10.1007/s00526-023-02541-3arXiv1807.06494OpenAlexW2883778827MaRDI QIDQ6134275

Lu Wang, Jacob Bernstein

Publication date: 25 July 2023

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

Full work available at URL: https://arxiv.org/abs/1807.06494

zbMATH Keywords

mean curvature flowMorse indexasymptotically conical self-expandersspace of self-expanders

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Flows related to mean curvature (53E10)

Related Items (3)

Mean convex smoothing of mean convex cones ⋮ Asymptotic behavior and stability of mean curvature flow with a conical end ⋮ Relative expander entropy in the presence of a two-sided obstacle and applications

Cites Work

• Mean curvature evolution of entire graphs
• Elliptic partial differential equations of second order
• The space of asymptotically conical self-expanders of mean curvature flow
• Minimal cones and self-expanding solutions for mean curvature flows
• Rotational symmetry of asymptotically conical mean curvature flow self-expanders
• A Model for the Behavior of Fluid Droplets Based on Mean Curvature Flow
• Smooth Compactness for Spaces of Asymptotically Conical Self-Expanders of Mean Curvature Flow
• Asymptotic structure of almost eigenfunctions of drift Laplacians on conical ends
• An Infinite Dimensional Version of Sard's Theorem
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