A Mountain-Pass Theorem for Asymptotically Conical Self-Expanders

نویسندگان

چکیده

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 are asymptotic to the same cone and bound domain, there exists new self-expander trapped between two.

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ژورنال

عنوان ژورنال: Peking mathematical journal

سال: 2022

ISSN: ['2524-7182', '2096-6075']

DOI: https://doi.org/10.1007/s42543-021-00042-w