On the asymptotic behaviour of nonlocal perimeters
ESAIM: COCV, 25 (2019) 48
Published online: 2019-09-25
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Sharp Conditions for the BBM Formula and Asymptotics of Heat Content-Type Energies
Luca Gennaioli and Giorgio StefaniArchive for Rational Mechanics and Analysis 250 (1) (2026)
https://doi.org/10.1007/s00205-025-02157-1
Nonlocal perimeters and variations: Extremality and decomposability for finite and infinite horizons
Marcello Carioni, Leonardo Del Grande, José A. Iglesias and Hidde SchönbergerCalculus of Variations and Partial Differential Equations 65 (2) (2026)
https://doi.org/10.1007/s00526-025-03205-0
Second-order asymptotics of fractional Gagliardo seminorms as $$s\rightarrow 1^-$$ and convergence of the associated gradient flows
Andrea Kubin, Valerio Pagliari and Antonio TribuzioFractional Calculus and Applied Analysis 29 (1) 101 (2026)
https://doi.org/10.1007/s13540-025-00472-8
Non-local BV functions and a denoising model with L 1 fidelity
Konstantinos Bessas and Giorgio StefaniAdvances in Calculus of Variations 18 (1) 189 (2025)
https://doi.org/10.1515/acv-2023-0082
On the Γ-limit of weighted fractional energies
Andrea Kubin, Giorgio Saracco and Giorgio StefaniProceedings of the Royal Society of Edinburgh: Section A Mathematics 1 (2025)
https://doi.org/10.1017/prm.2025.10100
Characterization of sets of finite local and non-local perimeter via non-local heat equation
Andrea Kubin and Domenico Angelo La MannaAdvances in Calculus of Variations 18 (4) 1181 (2025)
https://doi.org/10.1515/acv-2024-0104
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula
Elisa Davoli, Giovanni Di Fratta and Valerio PagliariProceedings of the Royal Society of Edinburgh: Section A Mathematics 1 (2024)
https://doi.org/10.1017/prm.2024.47
Asymptotic analysis of a family of non-local functionals on sets
Michela Eleuteri, Luca Lussardi and Andrea TorricelliESAIM: Control, Optimisation and Calculus of Variations 29 1 (2023)
https://doi.org/10.1051/cocv/2022080
Asymptotics of non-local perimeters
Wojciech Cygan and Tomasz GrzywnyAnnali di Matematica Pura ed Applicata (1923 -) 202 (6) 2629 (2023)
https://doi.org/10.1007/s10231-023-01332-z
\(\Gamma\) -Convergence of Some Nonlocal Perimeters in Bounded Domains with General Boundary Conditions
Antoine Mellet and Yijing WuSIAM Journal on Mathematical Analysis 55 (4) 3226 (2023)
https://doi.org/10.1137/22M1483505
Gamma-convergence of Gaussian fractional perimeter
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna and Diego PallaraAdvances in Calculus of Variations 16 (3) 571 (2023)
https://doi.org/10.1515/acv-2021-0032
The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows
L. De Luca, A. Kubin and M. PonsiglioneNonlinear Analysis 214 112585 (2022)
https://doi.org/10.1016/j.na.2021.112585
An isoperimetric problem with a competing nonlocal singular term
Antoine Mellet and Yijing WuCalculus of Variations and Partial Differential Equations 60 (3) (2021)
https://doi.org/10.1007/s00526-021-01969-9
Convergence of nonlocal geometric flows to anisotropic mean curvature motion
Annalisa Cesaroni and Valerio PagliariDiscrete & Continuous Dynamical Systems 41 (10) 4987 (2021)
https://doi.org/10.3934/dcds.2021065
Large mass rigidity for a liquid drop model in 2D with kernels of finite moments
Benoit Merlet and Marc PegonJournal de l’École polytechnique — Mathématiques 9 63 (2021)
https://doi.org/10.5802/jep.178