Franceschi, Valentina; Pinamonti, Andrea; Saracco, Giorgio; Stefani, Giorgio The Cheeger problem in abstract measure spaces. (English) Zbl 07809013 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12840, 55 p. (2024). MSC: 49Q20 35P15 53A10 PDFBibTeX XMLCite \textit{V. Franceschi} et al., J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12840, 55 p. (2024; Zbl 07809013) Full Text: DOI arXiv OA License
Cygan, Wojciech; Grzywny, Tomasz Asymptotics of non-local perimeters. (English) Zbl 07746715 Ann. Mat. Pura Appl. (4) 202, No. 6, 2629-2651 (2023). MSC: 60G51 60G52 60J75 52A38 46E35 PDFBibTeX XMLCite \textit{W. Cygan} and \textit{T. Grzywny}, Ann. Mat. Pura Appl. (4) 202, No. 6, 2629--2651 (2023; Zbl 07746715) Full Text: DOI arXiv OA License
Xu, Zirui; Du, Qiang Bifurcation and fission in the liquid drop model: a phase-field approach. (English) Zbl 1520.81187 J. Math. Phys. 64, No. 7, Article ID 071508, 21 p. (2023). MSC: 81V45 PDFBibTeX XMLCite \textit{Z. Xu} and \textit{Q. Du}, J. Math. Phys. 64, No. 7, Article ID 071508, 21 p. (2023; Zbl 1520.81187) Full Text: DOI arXiv
Novaga, Matteo; Paolini, Emanuele; Stepanov, Eugene; Tortorelli, Vincenzo Maria Isoperimetric clusters in homogeneous spaces via concentration compactness. (English) Zbl 1496.49023 J. Geom. Anal. 32, No. 11, Paper No. 263, 23 p. (2022). MSC: 49Q15 60H05 53C65 PDFBibTeX XMLCite \textit{M. Novaga} et al., J. Geom. Anal. 32, No. 11, Paper No. 263, 23 p. (2022; Zbl 1496.49023) Full Text: DOI arXiv
Bessas, Konstantinos Fractional total variation denoising model with \(L^1\) fidelity. (English) Zbl 1495.49032 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112926, 20 p. (2022). Reviewer: Giorgio Saracco (Trento) MSC: 49Q20 94A08 PDFBibTeX XMLCite \textit{K. Bessas}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112926, 20 p. (2022; Zbl 1495.49032) Full Text: DOI arXiv
Cesaroni, Annalisa; Novaga, Matteo \(K\)-mean convex and \(K\)-outward minimizing sets. (English) Zbl 1490.53108 Interfaces Free Bound. 24, No. 1, 35-61 (2022). MSC: 53E10 35R11 49Q20 PDFBibTeX XMLCite \textit{A. Cesaroni} and \textit{M. Novaga}, Interfaces Free Bound. 24, No. 1, 35--61 (2022; Zbl 1490.53108) Full Text: DOI
Merlet, Benoit; Pegon, Marc Large mass rigidity for a liquid drop model in 2D with kernels of finite moments. (Rigidité pour un modèle de goutte liquide en 2D avec des noyaux de moments finis et dans le régime des grandes masses.) (English. French summary) Zbl 1486.52003 J. Éc. Polytech., Math. 9, 63-100 (2022). MSC: 52A10 28A75 52A38 PDFBibTeX XMLCite \textit{B. Merlet} and \textit{M. Pegon}, J. Éc. Polytech., Math. 9, 63--100 (2022; Zbl 1486.52003) Full Text: DOI arXiv
De Luca, Lucia; Novaga, Matteo; Ponsiglione, Marcello The 0-fractional perimeter between fractional perimeters and Riesz potentials. (English) Zbl 1484.49024 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 4, 1559-1596 (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 49J45 49J10 49Q10 49J99 PDFBibTeX XMLCite \textit{L. De Luca} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 4, 1559--1596 (2021; Zbl 1484.49024) Full Text: DOI arXiv
Pegon, Marc Large mass minimizers for isoperimetric problems with integrable nonlocal potentials. (English) Zbl 1471.49030 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 211, Article ID 112395, 48 p. (2021). MSC: 49Q10 76B45 PDFBibTeX XMLCite \textit{M. Pegon}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 211, Article ID 112395, 48 p. (2021; Zbl 1471.49030) Full Text: DOI arXiv HAL
Cesaroni, Annalisa; Cirant, Marco Brake orbits and heteroclinic connections for first order mean field games. (English) Zbl 1467.49039 Trans. Am. Math. Soc. 374, No. 7, 5037-5070 (2021). Reviewer: Savin Treanta (Bucureşti) MSC: 49Q20 49N80 35Q91 PDFBibTeX XMLCite \textit{A. Cesaroni} and \textit{M. Cirant}, Trans. Am. Math. Soc. 374, No. 7, 5037--5070 (2021; Zbl 1467.49039) Full Text: DOI arXiv
Kreuml, Andreas The anisotropic fractional isoperimetric problem with respect to unconditional unit balls. (English) Zbl 1460.49035 Commun. Pure Appl. Anal. 20, No. 2, 783-799 (2021). Reviewer: Jie Xiao (St. John’s) MSC: 49Q20 26D15 46E35 PDFBibTeX XMLCite \textit{A. Kreuml}, Commun. Pure Appl. Anal. 20, No. 2, 783--799 (2021; Zbl 1460.49035) Full Text: DOI arXiv
Pagliari, Valerio Halfspaces minimise nonlocal perimeter: a proof via calibrations. (English) Zbl 1452.49025 Ann. Mat. Pura Appl. (4) 199, No. 4, 1685-1696 (2020). Reviewer: Giuliano Lazzaroni (Firenze) MSC: 49Q20 49Q05 35R11 49J45 PDFBibTeX XMLCite \textit{V. Pagliari}, Ann. Mat. Pura Appl. (4) 199, No. 4, 1685--1696 (2020; Zbl 1452.49025) Full Text: DOI arXiv
Garofalo, Nicola; Tralli, Giulio Nonlocal isoperimetric inequalities for Kolmogorov-Fokker-Planck operators. (English) Zbl 1439.35013 J. Funct. Anal. 279, No. 3, Article ID 108591, 39 p. (2020). MSC: 35A23 35Q84 PDFBibTeX XMLCite \textit{N. Garofalo} and \textit{G. Tralli}, J. Funct. Anal. 279, No. 3, Article ID 108591, 39 p. (2020; Zbl 1439.35013) Full Text: DOI arXiv
Berendsen, Judith; Pagliari, Valerio On the asymptotic behaviour of nonlocal perimeters. (English) Zbl 1443.49052 ESAIM, Control Optim. Calc. Var. 25, Paper No. 48, 27 p. (2019). Reviewer: Luca Lussardi (Torino) MSC: 49Q20 53A10 49J45 PDFBibTeX XMLCite \textit{J. Berendsen} and \textit{V. Pagliari}, ESAIM, Control Optim. Calc. Var. 25, Paper No. 48, 27 p. (2019; Zbl 1443.49052) Full Text: DOI arXiv
Kreuml, Andreas; Mordhorst, Olaf Fractional Sobolev norms and BV functions on manifolds. (English) Zbl 1437.46042 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 187, 450-466 (2019). MSC: 46E35 PDFBibTeX XMLCite \textit{A. Kreuml} and \textit{O. Mordhorst}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 187, 450--466 (2019; Zbl 1437.46042) Full Text: DOI arXiv
Cesaroni, Annalisa; Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico Fattening and nonfattening phenomena for planar nonlocal curvature flows. (English) Zbl 1426.53095 Math. Ann. 375, No. 1-2, 687-736 (2019). Reviewer: Yong Wei (Act) MSC: 53E10 35D40 35R11 58E12 PDFBibTeX XMLCite \textit{A. Cesaroni} et al., Math. Ann. 375, No. 1--2, 687--736 (2019; Zbl 1426.53095) Full Text: DOI arXiv
Cesaroni, Annalisa; Novaga, Matteo Isoperimetric problems for a nonlocal perimeter of Minkowski type. (English) Zbl 1387.52016 Geom. Flows 2, 86-93 (2017). Reviewer: Gabriela Cristescu (Arad) MSC: 52A40 52A38 49Q05 PDFBibTeX XMLCite \textit{A. Cesaroni} and \textit{M. Novaga}, Geom. Flows 2, 86--93 (2017; Zbl 1387.52016) Full Text: DOI arXiv