The Frankel property for self-shrinkers from the viewpoint of elliptic PDEs
Abstract: We show that two properly embedded self-shrinkers in Euclidean space that are sufficiently separated at infinity must intersect at a finite point. The proof is based on a localized version of the Reilly formula applied to a suitable f-harmonic function with controlled gradient. In the immersed case, a new direct proof of the generalized half-space property is also presented.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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The Frankel property for self-shrinkers from the viewpoint of elliptic PDEs ; volume:2021 ; number:773 ; year:2021 ; pages:1-20 ; extent:20
Journal für die reine und angewandte Mathematik ; 2021, Heft 773 (2021), 1-20 (gesamt 20)
- Creator
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Impera, Debora
Pigola, Stefano
Rimoldi, Michele
- DOI
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10.1515/crelle-2020-0044
- URN
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urn:nbn:de:101:1-2411021508401.584178895415
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:30 AM CEST
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Associated
- Impera, Debora
- Pigola, Stefano
- Rimoldi, Michele
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