Local minimizers and gamma-convergence for nonlocal perimeters in Carnot groups

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:

13 Feb 2022 01:49

Publisher DOI:

10.1051/cocv/2020055

BORIS DOI:

10.48350/164787

URI:

https://boris.unibe.ch/id/eprint/164787

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