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arXiv · 2211.05625

Self-expanders to the mean curvature flow based on the generalized Lawson-Osserman cone

Chen-Kuan Lee
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Abstract

We derive the equation of self-similar solutions to mean curvature flow based on the generalized Lawson-Osserman cone and prove the existence of self-expanders by modifying the theory of equilibria in the autonomous system. In particular, those self-expanders are unique if a local assumption is given.

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Chen-Kuan Lee. 2022-11-10. Self-expanders to the mean curvature flow based on the generalized Lawson-Osserman cone. https://arxiv.org/abs/2211.05625

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