Local minimizers and gamma-convergence for nonlocal perimeters in Carnot groups
Carbotti, A., Don, S., Pallara, D., & Pinamonti, A. (2021). Local minimizers and gamma-convergence for nonlocal perimeters in Carnot groups. ESAIM : Control, Optimisation and Calculus of Variations, 27(Supplement), Article S11. https://doi.org/10.1051/cocv/2020055
Julkaistu sarjassa
ESAIM : Control, Optimisation and Calculus of VariationsPäivämäärä
2021Tekijänoikeudet
© EDP Sciences, SMAI 2021
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 Γ-liminf of the rescaled energy in terms of the horizontal perimeter.
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EDP SciencesISSN Hae Julkaisufoorumista
1292-8119Asiasanat
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https://converis.jyu.fi/converis/portal/detail/Publication/51962967
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Näytä kaikki kuvailutiedotKokoelmat
Rahoittaja(t)
Suomen Akatemia; Euroopan komissioRahoitusohjelmat(t)
Akatemiatutkija, SA; Akatemiahanke, SA
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
Lisätietoja rahoituksesta
S.D. has been partially supported by the Academy of Finland (grant 288501 “Geometry of subRiemannian groups” and grant 322898 “Sub-Riemannian geometry via metric-geometry and Lie-group theory”) and by the European Research Council (ERC Starting Grant 713998 GeoMeG “Geometry of metric groups”). D.P. is member of G.N.A.M.P.A. of the Italian Istituto Nazionale di Alta Matematica (INdAM) and has been ...
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