On the asymptotic behaviour of nonlocal perimeters
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Publication:5107953
DOI10.1051/cocv/2018038zbMath1443.49052arXiv1802.02662OpenAlexW3100132315WikidataQ129651988 ScholiaQ129651988MaRDI QIDQ5107953
Judith Berendsen, Valerio Pagliari
Publication date: 29 April 2020
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.02662
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (12)
Asymptotics of non-local perimeters ⋮ \(\Gamma\) -Convergence of Some Nonlocal Perimeters in Bounded Domains with General Boundary Conditions ⋮ Gamma-convergence of Gaussian fractional perimeter ⋮ On the convergence rate of some nonlocal energies ⋮ The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows ⋮ An isoperimetric problem with a competing nonlocal singular term ⋮ Convergence of nonlocal geometric flows to anisotropic mean curvature motion ⋮ Large mass minimizers for isoperimetric problems with integrable nonlocal potentials ⋮ Large mass rigidity for a liquid drop model in 2D with kernels of finite moments ⋮ Halfspaces minimise nonlocal perimeter: a proof via calibrations ⋮ Local minimizers and gamma-convergence for nonlocal perimeters in Carnot groups ⋮ Asymptotic analysis of a family of non-local functionals on sets
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