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arXiv · 2003.13857

A mountain-pass theorem for asymptotically conical self-expanders

Jacob Bernstein·Lu Wang
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Abstract

We develop a min-max theory for asymptotically conical self-expanders of mean curvature flow. In particular, we show that given two distinct strictly stable self-expanders that are asymptotic to the same cone and bound a domain, there exists a new asymptotically conical self-expander trapped between the two.

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Jacob Bernstein, Lu Wang. 2020-03-30. A mountain-pass theorem for asymptotically conical self-expanders. https://arxiv.org/abs/2003.13857

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