Publication list:
 Maggi, Francesco; Santilli, Mario. Rigidity and
compactness with constant mean curvature in warped
product manifolds, Preprint
arXiv:2303.03499
 Maggi, Francesco; Neumayer, Robin; Tomasetti, Ignacio.
Rigidity theorems for best Sobolev inequalities. Preprint
arXiv:2206.12386
 Maggi, Francesco; Novack, Michael. Isoperimetric
residues and a mesoscale flatness criterion for
hypersurfaces with bounded mean curvature. Preprint arXiv:2205.02951
 Maggi, Francesco; Restrepo, Daniel. Uniform stability
in the Euclidean isoperimetric problem for the
AllenCahn energy. Preprint arXiv:2202.11583.
Accepted on Analysis & PDE, 2022.
 Dipierro, Serena; Maggi, Francesco; Valdinoci, Enrico.
Minimizing cones for fractional capillarity problems.
Preprint arXiv:2008.06175
Accepted on Revista Matematica Iberoamericana 2021.
 King, Darren; Maggi, Francesco; Stuvard, Salvatore.
Smoothness of collapsed regions in a capillarity model
for soap films. Preprint arXiv:2007:14868
Accepted on Archive for Rational Mechanics and Analysis,
2021.
 Bernstein, Jacob; Maggi, Francesco; Symmetry and
rigidity of minimal surfaces with Plateautype
singularities. Preprint arXiv:2003.01784.
Accepted on Archive for Rational Mechanics and Analysis,
2020.
 King, Darren; Maggi, Francesco; Stuvard, Salvatore.
Collapsing and the convex hull property in a soap film
capillarity model. Preprint arXiv:2002.06273
Accepted on Ann. Inst. Henri Poincaré C,
Analyse Non Linéaire, 2021.
 King, Darren; Maggi, Francesco; Stuvard, Salvatore.
Plateau's problems as as singular limit of capillarity
problems. Accepted on Comm. Pure Applied Math. Preprint
arXiv:1907.00551
 Maggi, Francesco; Scardicchio, Antonello; Stuvard,
Salvatore. Soap films with gravity and almostminimal
surfaces. Accepted on Disc. Cont. Dynamical Systems.
Volume in honor of Luis Caffarelli's 70th birthday.
Preprint arXiv:1807.05200
 Delgadino, Matias; Maggi, Francesco. Alexandrov's
theorem revisited. Accepted on Anal. PDE. Preprint arXiv:1711.07690
 Cavalletti, Fabio; Maggi, Francesco; Mondino, Andrea.
Quantitative isoperimetry à la LévyGromov. Accepted on
Comm. Pure Appl. Math. Preprint arXiv:1707.04326
 Delgadino, Matias G.; Maggi, Francesco; Mihaila,
Cornelia; Neumayer, Robin. Bubbling with L2Almost
Constant Mean Curvature and an AlexandrovType Theorem
for Crystals. (2018) Arch. Ration. Mech. Anal. 230, no.
3, 1131–1177. Preprint arXiv:1705.10117
 Cavalletti, Fabio; Maggi, Francesco; Mondino, Andrea;
Rigidity for critical points in the LévyGromov
inequality. (2018) Math. Z. 289, no. 34, 1191–1197.
Preprint arXiv:1612.04119
 Figalli, Alessio; Maggi, Francesco; Mooney, Connor.
The sharp quantitative Euclidean concentration
inequality. (2018) Camb. J. Math. 6, no. 1, 59–87.
Preprint arXiv:1601.04100v3
 Dipierro, Serena; Maggi, Francesco; Valdinoci, Enrico.
Asymptotic expansions of the contact angle in nonlocal
capillarity problems. (2017) J. Nonlinear Sci. 27 , no.
5, 1531–1550. Preprint arXiv:1610.00075
 Maggi, Francesco; Valdinoci, Enrico. Capillarity
problems with nonlocal surface tension energies.
(2017) Comm. Partial Differential
Equations 42, no. 9, 1403–1446. Preprint
arXiv:1606.08610
 Ciraolo, Giulio; Figalli, Alessio; Maggi, Francesco.
A quantitative analysis of metrics in R^n with almost
constant positive scalar curvature, with applications to
fast diffusion flows. (2017) International Mathematics
Research Notices, rnx071,
Preprint arXiv:1602.01916
 Cicalese, Marco; Leonardi, Gian Paolo; Maggi,
Francesco Sharp stability inequalities for planar double
bubbles. (2017) Interfaces Free Bound. 19, no. 3,
305–350. Preprint arXiv:1211.3698
 Ciraolo, Giulio; Figalli, Alessio; Maggi, Francesco;
Novaga, Matteo; Rigidity and sharp stability estimates
for hypersurfaces with constant and almostconstant
nonlocal mean curvature. (2018) J. Reine Angew. Math.
741, 275–294. Preprint arXiv:1503.00653
 Carlen, Eric; Maggi, Francesco. Stability for the
BrunnMinkowski and Riesz rearrangement inequalities,
with applications to Gaussian concentration and finite
range nonlocal isoperimetry. (2017) Canad. J. Math. 69,
10361063. Preprint arXiv:1507.03454.
 Maggi, Francesco; Neumayer, Robin. A bridge between
Sobolev and Escobar inequalities and beyond (2017) J.
Funct. Anal. 273(6), 20702106. Preprint arXiv:1609.02346
 Krummel, Brian; Maggi, Francesco. Isoperimetry with
upper mean curvature bounds and sharp stability
estimates (2017) Calc. Var. PDE. 56(2), Paper no. 53, 43
pp. Preprint arXiv:1606.00490
 Ciraolo, Giulio; Maggi, Francesco. On the shape of
compact hypersurfaces with almost constant mean
curvature (2017) Comm. Pure Appl. Math. 70(4), 665716.
Preprint arXiv:1503.06674
 Colombo, Maria; Maggi, Francesco. Existence and
almost everywhere regularity of isoperimetric clusters
for fractional perimeters (2017) Nonlinear Anal. 153,
243274. Preprint arXiv:1605.05641
 Leonardi, Gian Paolo; Maggi, Francesco (2017)
Improved convergence theorems for bubble clusters.
II. The threedimensional case. Indiana Univ. Math. J.
66(2), 559608. Preprint arXiv:1505.06709.
 De Lellis, Camillo; Ghiraldin, Francesco; Maggi,
Francesco (2017) A direct approach to Plateau's problem.
J. Eur. Math. Soc. (JEMS) 19(8), 22192240. Preprint arXiv:1408.4047
 Cagnetti, Filippo; Colombo, Maria; De Philippis,
Guido; Maggi Francesco (2017) Essential connectedness
and the rigidity problem for Gaussian symmetrization. J.
Eur. Math. Soc. (JEMS) 19(2) 395439. Preprint arXiv:1304.4527
 De Philippis, Guido; Maggi, Francesco (2017).
Dimensional estimates for singular sets in geometric
variational problems with free boundaries. J. Reine
Angew. Math. (Crelle's Journal), 725, 217234. Preprint
arXiv:1407.4834
 Maggi, Francesco; Mihaila, Cornelia. On the shape of
capillarity droplets in a container (2016) Calc. Var.
PDE. 55(5), Paper no. 122, 42 pp. Preprint arXiv:1509.03324v1
 Cicalese, Marco; Leonardi, Gian Paolo; Maggi,
Francesco. (2016) Improved convergence theorems for
bubble clusters. I. The planar case. Indiana Univ. Math.
J. 65(6), 19792050. Preprint arXiv:1409.6652.
 Caroccia, Marco; Maggi, Francesco. (2016) A sharp
quantitative version of Hales' isoperimetric honeycomb
theorem, J. Math. Pures Appl. (9) 106(5), 935956.
Preprint arXiv:1410.6128.
 Figalli, Alessio; Fusco, Nicola; Maggi, Francesco;
Millot, Vincent; Morini, Massimiliano (2015).
Isoperimetry and stability properties of balls with
respect to nonlocal energies. Comm. Math. Phys. 336(1),
441507. Preprint arXiv:1403.0516
 De Philippis, Guido; Maggi, Francesco (2015).
Regularity of free boundaries in anisotropic capillarity
problems and the validity of Young's law. Arch. Ration.
Mech. Anal. 216(2), 473568. Preprint arXiv:1402.0549
 Cagnetti, Filippo; Colombo, Maria; De Philippis,
Guido; Maggi Francesco (2014). Rigidity of equality
cases in Steiner's perimeter inequality. Anal. PDE,
7(7), 15351593. Preprint arXiv:1309.1639
 De Philippis, Guido; Maggi, Francesco (2014). Sharp
stability inequalities for the Plateau problem. J.
Differential Geom. 96(3), 399456.
 Maggi, Francesco; Ponsiglione, Marcello; Pratelli,
Aldo (2014) Quantitative stability in the isodiametric
inequality via the isoperimetric inequality. Trans. AMS
366(3), 11411160.
 Figalli, Alessio; Maggi, Francesco; Pratelli, Aldo
(2014). A geometric approach to correlation inequalities
in the plane. Ann. Inst. Henri Poincaré Probab. Stat.
50(1), 114.
 Figalli, Alessio; Maggi, Francesco; Pratelli, Aldo
(2013). Sharp stability theorems for the anisotropic
Sobolev and logSobolev inequalities on functions of
bounded variation, Adv. Math. 242, 80101.
 Figalli, Alessio; Maggi, Francesco (2013) On the
isoperimetric problem for radial logconvex densities,
Calc. Var. Partial Differential Equations 48(34),
447489.
 Figalli, Alessio; Maggi, Francesco; (2011) On the
shape of liquid drops and crystals in the small mass
regime. Arch. Ration. Mech. Anal. 201(1), 143207.
 Fusco, Nicola; Maggi, Francesco; Pratelli, Aldo
(2011). On the isoperimetric problem with respect to a
mixed EuclideanGaussian density. J. Funct. Anal.
260(12), 36783717.
 Cianchi, Andrea; Fusco, Nicola; Maggi, Francesco;
Pratelli, Aldo (2011) On the isoperimetric deficit in
Gauss space. Amer. J. Math. 133(1), 131186.
 Fonseca, Irene; Leoni, Giovanni; Maggi, Francesco;
Morini, Massimiliano (2010) Exact reconstruction of
color images by a total variation model, Ann. Inst. H.
Poincaré Anal. Non Linéaire 27, 12911331.
 Figalli, Alessio; Maggi, Francesco; Pratelli, Aldo
(2010). A mass transportation approach to quantitative
isoperimetric inequalities, Invent. Math. 182, 167211.
 Figalli, Alessio; Maggi, Francesco; Pratelli, Aldo
(2009). A refined BrunnMinkowski inequality for convex
sets, Ann. Inst. H. Poincaré Anal. Non Linéaire, 26,
25112519.
 Figalli, Alessio; Maggi, Francesco; Pratelli, Aldo
(2009). A note on Cheeger sets, Proc. AMS 137(6),
2057–2062.
 Cianchi, Andrea; Fusco, Nicola; Maggi, Francesco;
Pratelli, Aldo (2009), The sharp Sobolev inequality in
quantitative form, J. Eur. Math. Soc. (5), 1105–1139.
 Fusco, Nicola; Maggi, Francesco; Pratelli, Aldo
(2009) Stability estimates for certain FaberKrahn,
isocapacitary and Cheeger inequalities. Ann. Sc. Norm.
Super. Pisa Cl. Sci. (5), 51–71.
 Maggi, Francesco (2008). Some methods for studying
stability in isoperimetric type problems, Bull. AMS
45(3), 367408.
 Fusco, Nicola; Maggi, Francesco; Pratelli, Aldo
(2008). The sharp quantitative isoperimetric inequality,
Ann. of Math. (2) 168(3), 941980.
 Maggi, Francesco; Villani, Cédric (2008). Balls have
the worst best Sobolev inequalities. Part two: variants
and extensions, Calc. Var. PDE 31(1), 4774.
 Conti, Sergio; Maggi, Francesco, (2008). Confining
thin elastic sheets and folding paper. Arch. Ration.
Mech. Anal. 187(1), 148.
 Fusco, Nicola; Maggi, Francesco; Pratelli, Aldo
(2007) The sharp quantitative Sobolev inequality for
functions of bounded variation J. Funct. Anal. 244(1)
315341.
 Conti, Sergio; Maggi, Francesco; Müller, Stefan
(2006) Rigorous derivation of Föppl’s theory for clamped
elastic membranes leads to relaxation, SIAM J. Math.
Anal. 38(2) 657680.
 Fusco, Nicola; Gori, Michele; Maggi, Francesco (2006).
A remark on Serrin’s theorem. NoDEA 13(4), 425433.
 Conti, Sergio; Faraco, Daniel; Maggi, Francesco;
Müller, Stefan (2005). Rankone convex functions on 2 ×
2 symmetric matrices and laminates on rankthree lines.
Calc. Var. PDE 24(4), 479493.
 Conti, Sergio; Faraco, Daniel; Maggi, Francesco (2005)
A new approach to counterexamples to L1 estimates:
Korn’s inequality, geometric rigidity and regularity for
gradients of separately convex functions, Arch. Ration.
Mech. Anal. 175(2), 287300.
 Gori, Michele; Maggi, Francesco (2005). The common
root of the geometric conditions in Serrin’s lower
semicontinuity theorem. Ann. Mat. Pura e
Applicata,184(1), 95114.
 Maggi, Francesco; Villani, Cédric (2005). Balls have
the worst best Sobolev inequalities. J. Geom. Anal.
15(1), 83121.
 Maggi, Francesco; Morini, Massimiliano (2004). A
Γconvergence result for variational integrators of
quadratic lagrangians. ESAIM: COCV 10(4), 656665.
 Maggi, Francesco (2003) On the relaxation on BV of
certain noncoercive integral functionals, J. Convex
Anal. 10(2), 477489.
 Gori, Michele; Maggi, Francesco (2003) On the lower
semicontinuity of supremal functionals, ESAIM: COCV 9,
135143.
 Gori, Michele; Maggi, Francesco; Marcellini, Paolo
(2003). On some sharp conditions for lower
semicontinuity in L1. Diff. Int. Equations 16(1), 5176.
