Carbotti, Alessandro; Don, Sebastiano; Pallara, Diego; Pinamonti, Andrea (2021). Local minimizers and gamma-convergence for nonlocal perimeters in Carnot groups. ESAIM: COCV, 27(S11), S11. EDP Sciences 10.1051/cocv/2020055
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We prove the local minimality of halfspaces in Carnot groups for a class of nonlocal functionals usually addressed as nonlocal perimeters. Moreover, in a class of Carnot groups in which the De Giorgi’s rectifiability Theorem holds, we provide a lower bound for the Gamma-liminf of the rescaled energy in terms of the horizontal perimeter.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Don, Sebastiano |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1292-8119 |
Publisher: |
EDP Sciences |
Funders: |
[UNSPECIFIED] Academy of Finland ; [UNSPECIFIED] Academy of Finland ; [18] European Research Council ; [UNSPECIFIED] INdAM-GNAMPA ; [UNSPECIFIED] MIUR |
Projects: |
Projects 288501 not found. Projects 322898 not found. Projects 713998 not found. Projects 2015233 not found. |
Language: |
English |
Submitter: |
Sebastiano Don |
Date Deposited: |
10 Feb 2022 12:14 |
Last Modified: |
05 Dec 2022 16:05 |
Publisher DOI: |
10.1051/cocv/2020055 |
BORIS DOI: |
10.48350/164787 |
URI: |
https://boris.unibe.ch/id/eprint/164787 |
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