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
Date
2021Copyright
© 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 Search the Publication Forum
1292-8119Keywords
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https://converis.jyu.fi/converis/portal/detail/Publication/51962967
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Research Council of Finland; European CommissionFunding program(s)
Academy Research Fellow, AoF; ERC Starting Grant; Academy Project, AoF
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.
Additional information about funding
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 partially supported by the PRIN 2015 MIUR project 2015233N54. A.P. is member of G.N.A.M.P.A. of the Italian Istituto Nazionale di Alta Matematica (INdAM). ...License
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