Rigidity and non-existence results for collapsed translators

We prove a rigidity result for mean curvature self-translating solitons, characterizing the grim reaper cylinder as the only finite entropy self-translating 2-surface in \(\mathbb{R}^3\) of width \(\pi\) and bounded from below. The proof makes use of parabolicity in a weighted setting applied to a s...

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Veröffentlicht in:	arXiv.org 2023-07
Hauptverfasser:	Impera, Debora, Niels Martin Møller, Rimoldi, Michele
Format:	Artikel
Sprache:	eng
Schlagworte:	Rigidity Solitary waves
Online-Zugang:	Volltext
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