The Frankel property for self-shrinkers from the viewpoint of elliptic PDEs
| Autor: | Michele Rimoldi, Debora Impera, Stefano Pigola |
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| Přispěvatelé: | Impera, D, Pigola, S, Rimoldi, M |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Property (philosophy) Applied Mathematics General Mathematics Reilly's formula 010102 general mathematics Elliptic pdes self-shrinkers intersection property half-space property 01 natural sciences self-shrinkers f-minimal hypersrufaces Frankel property 0103 physical sciences 010307 mathematical physics 0101 mathematics half-space type properties self-shrinkers Frankel property f-minimal hypersrufaces half-space type properties Reilly's formula Mathematics |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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