Full Professor, UT Austin

Email: maggi AT math.utexas.edu

Home-page: http://www.math.utexas.edu/users/maggi/

arxiv id: maggi_f_1

Available papers (71):

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• M. Bonforte - F. Maggi - D. Restrepo (preprint)
  Asymptotic behavior of a diffused interface volume-preserving mean curvature flow (2024)
• F. Maggi - M. Novack (Archive for Rational Mechanics and Analysis)
  Isoperimetric residues and a mesoscale flatness criterion for hypersurfaces with bounded mean curvature (2024)
• N. Fusco - F. Maggi - M. Morini - M. Novack (Advances in Mathematics)
  Rigidity and large volume residues in exterior isoperimetry for convex sets (2024)
• F. Maggi - M. Santilli (preprint)
  Rigidity and compactness with constant mean curvature in warped product manifolds (2023)
• F. Maggi - M. Novack - D. Restrepo (Preprint)
  Plateau borders in soap films and Gauss' capillarity theory (2023)
• F. Maggi - M. Novack - D. Restrepo (Preprint)
  A hierarchy of Plateau problems and the approximation of Plateau's laws via the Allen--Cahn equation (2023)
• F. Maggi (Book extract)
  Optimal Mass Transport on Euclidean Spaces (2023)
• D. King - F. Maggi - S. Stuvard (Arch. Ration. Mech. Anal.)
  Smoothness of collapsed regions in a capillarity model for soap films (2022)
• F. Maggi - D. Restrepo (Preprint)
  Uniform stability in the Euclidean isoperimetric problem for the Allen--Cahn energy (2022)
• D. King - F. Maggi - S. Stuvard (Comm. Pure Appl. Math.)
  Plateau's problem as a singular limit of capillarity problems (2022)
• F. Maggi - R. Neumayer - I. Tomasetti (Preprint)
  Rigidity theorems for best Sobolev inequalities (2022)
• D. King - F. Maggi - S. Stuvard (Ann. Inst. H. Poincaré Anal. Non Linéaire)
  Collapsing and the convex hull property in a soap film capillarity model (2021)
• J. Bernstein - F. Maggi (Preprint)
  Symmetry and Rigidity of Minimal Surfaces with Plateau-like Singularities (2020)
• F. Maggi - E. Valdinoci (Announcement)
  Ars Inveniendi Analytica (2020)
• S. Dipierro - F. Maggi - E. Valdinoci (Preprint)
  Minimizing cones for fractional capillarity problems (2020)
• F. Maggi - A. Scardicchio - S. Stuvard (Discrete Cont. Dyn. Syst.)
  Soap films with gravity and almost-minimal surfaces (2019)
• G. Ciraolo - A. Figalli - F. Maggi - M. Novaga (J. Reine Angew. Math.)
  Rigidity and sharp stability estimates for hypersurfaces with constant and almost-constant nonlocal mean curvature (2018)
• G. Ciraolo - A. Figalli - F. Maggi (Int. Math. Res. Not. IMRN)
  A quantitative analysis of metrics on $\mathbb R^n$ with almost constant positive scalar curvature, with applications to fast diffusion flows (2018)
• A. Figalli - F. Maggi - C. Mooney (Camb. J. Math.)
  The sharp quantitative Euclidean concentration inequality (2018)
• F. Maggi - E. Valdinoci (Preprint: Comm. PDE)
  Capillarity problems with nonlocal surface tension energies (2017)
• B. Krummel - F. Maggi (Submitted Paper: Calc. Var. PDE)
  Isoperimetry with upper mean curvature bounds and sharp stability estimates (2017)
• S. Dipierro - F. Maggi - E. Valdinoci (Preprint: J. Nonlinear Science)
  Asymptotic expansions of the contact angle in nonlocal capillarity problems (2017)
• F. Maggi - R. Neumayer (Submitted Paper: Journal of Functional Analysis)
  A bridge between Sobolev and Escobar inequalities and beyond (2017)
• F. Cavalletti - F. Maggi - A. Mondino (Accepted Paper: Comm. Pure and Applied Math.)
  Quantitative isoperimetry à la Levy-Gromov (2017)
• C. De Lellis - F. Ghiraldin - F. Maggi (JEMS)
  A direct approach to Plateau's problem (2017)
• M. Delgadino - F. Maggi - C. Mihaila - R. Neumayer (Archive for Rational Mechanics and Analysis)
  Bubbling with $L^2$-almost constant mean curvature and an Alexandrov-type theorem for crystals (2017)
• M. Delgadino - F. Maggi (Analysis & PDE)
  Alexandrov's theorem revisited (2017)
• M. Cicalese - G. P. Leonardi - F. Maggi (Interfaces and Free Boundaries)
  Sharp stability inequalities for planar double bubbles (2017)
• E. Carlen - F. Maggi (Accepted Paper: Canadian J. Math.)
  Stability for the Brunn-Minkowski and Riesz rearrangement inequalities, with applications to Gaussian concentration and finite range non-local isoperimetry (2016)
• M. Colombo - F. Maggi (Accepted Paper: Nonlinear Analysis)
  Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters (2016)
• G. Ciraolo - F. Maggi (Accepted Paper: Comm. Pure Appl. Math.)
  On the shape of compact hypersurfaces with almost constant mean curvature (2016)
• F. Cavalletti - F. Maggi - A. Mondino (Math. Zeit)
  Rigidity for critical points in the Levy-Gromov inequality (2016)
• M. Cicalese - G. P. Leonardi - F. Maggi (Indiana U Math Journal)
  Improved convergence theorems for bubble clusters. I. The planar case (2016)
• F. Maggi - C. Mihaila (Accepted paper: Calc. Var. PDE)
  On the shape of capillarity droplets in a container (2015)
• G. P. Leonardi - F. Maggi (Accepted Paper: Indiana U Math Journal)
  Improved convergence theorems for bubble clusters. II. The three-dimensional case (2015)
• M. Caroccia - F. Maggi (Journal de Mathématiques Pures et Appliquées)
  A sharp quantitative version of Hales' isoperimetric honeycomb theorem (2015)
• A. Figalli - N. Fusco - F. Maggi - V. Millot - M. Morini (Comm. Math. Phys.)
  Isoperimetry and stability properties of balls with respect to nonlocal energies (2015)
• G. De Philippis - F. Maggi (Accepted Paper: J. Reine Angew. Math.)
  Dimensional estimates for singular sets in geometric variational problems with free boundaries (2014)
• G. De Philippis - F. Maggi (Accepted Paper: Arch. Ration. Mech. Anal.)
  Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law (2014)
• A. Figalli - F. Maggi - A. Pratelli (Ann. Inst. Henri Poincaré Probab. Stat.)
  A Geometric Approach to Correlation Inequalities in the Plane (2014)
• F. Cagnetti - M. Colombo - G. De Philippis - F. Maggi (Accepted Paper: Anal. PDE)
  Rigidity of equality cases in Steiner's perimeter inequality (2013)
• F. Cagnetti - M. Colombo - G. De Philippis - F. Maggi (Accepted Paper: J. Eur. Math. Soc.)
  Essential connectedness and the rigidity problem for Gaussian symmetrization (2013)
• A. Figalli - F. Maggi - A. Pratelli (Adv. Math.)
  Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation (2013)
• A. Figalli - F. Maggi (Calc. Var. Partial Differential Equations)
  On the isoperimetric problem for radial log-convex densities (2013)
• F. Maggi (Book extract)
  Sets of Finite Perimeter and Geometric Variational Problems: an Introduction to Geometric Measure Theory (2012)
• G. De Philippis - F. Maggi (Accepted Paper: J. Differential Geom.)
  Sharp stability inequalities for the Plateau problem (2011)
• F. Maggi - M. Ponsiglione - A. Pratelli (Trans. AMS)
  Quantitative stability in the isodiametric inequality via the isoperimetric inequality (2011)
• A. Figalli - F. Maggi (Arch. Ration. Mech. Anal.)
  On the shape of liquid drops and crystals in the small mass regime (2011)
• I. Fonseca - G. Leoni - F. Maggi - M. Morini (Ann. Inst. H. Poincaré Anal. Non Linéaire)
  Exact reconstruction of damaged color images using a total variation model (2010)
• N. Fusco - F. Maggi - A. Pratelli (Journal of Functional Analysis)
  On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density (2010)
• A. Figalli - F. Maggi - A. Pratelli (Invent. Math.)
  A mass transportation approach to quantitative isoperimetric inequalities (2010)
• A. Figalli - F. Maggi - A. Pratelli (Ann. Inst. H. Poincaré Anal. Non Linéaire)
  A refined Brunn-Minkowski inequality for convex sets (2009)
• A. Figalli - F. Maggi - A. Pratelli (Proc. Amer. Math. Soc.)
  A note on Cheeger sets (2009)
• A. Cianchi - N. Fusco - F. Maggi - A. Pratelli (Accepted Paper: American Journal of Mathematics)
  On the isoperimetric deficit in the Gauss space (2008)
• F. Maggi - C. Villani (Accepted Paper: Calc. Var. Partial Differential Equations)
  Balls have the worst best Sobolev inequalities. Part II: Variants and extensions (2007)
• F. Maggi (Lecture notes (accepted in revised form on Bull. Amer. Math. Soc.))
  Some methods for studying stability in isoperimetric type problems (2007)
• A. Cianchi - N. Fusco - F. Maggi - A. Pratelli (Journal of the European Mathematical Society)
  The sharp Sobolev inequality in quantitative form (2007)
• N. Fusco - F. Maggi - A. Pratelli (Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) )
  Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities (2007)
• N. Fusco - F. Maggi - A. Pratelli (Ann. of Math. (2))
  The sharp quantitative isoperimetric inequality (2006)
• S. Conti - F. Maggi - S. Müller (SIAM J. Math. Anal.)
  Rigorous derivation of Föppl's theory for clamped elastic membranes leads to relaxation (2006)
• N. Fusco - F. Maggi - A. Pratelli (J. Funct. Anal.)
  The sharp quantitative Sobolev inequality for functions of bounded variation (2006)
• S. Conti - D. Faraco - F. Maggi (Arch. Ration. Mech. Anal.)
  A new approach to counterexamples to $L^1$ estimates: Korn's inequality, geometric rigidity and regularity for gradients of separately convex functions (2005)
• F. Maggi - C. Villani (J. Geom. Anal.)
  Balls Have the Worst Best Sobolev Inequalities (2005)
• S. Conti - D. Faraco - F. Maggi - S. Müller (Calc. Var. Partial Differential Equations)
  Rank-one convex functions on 2x2 symmetric matrices and laminates on rank-three lines (2005)
• S. Conti - F. Maggi (Accepted Paper: Archive for Rational Mechanics and Analysis)
  Confining thin elastic sheets and folding paper (2005)
• M. Gori - F. Maggi (Ann. Mat. Pura Appl. (4))
  The common root of the geometric conditions in Serrin's lower semicontinuity theorem (2005)
• F. Maggi (Ph.D. Thesis)
  On Serrin's Lower Semicontinuity Problem (2004)
• F. Maggi (J. Convex Anal.)
  On the relaxation on $BV$ of certain non coercive integral functionals (2003)
• N. Fusco - M. Gori - F. Maggi (Accepted Paper: Nonlinear Differential Equations and Applications)
  A remark on Serrin's Theorem (2003)
• M. Gori - F. Maggi - P. Marcellini (Differential and Integral Equations)
  On some sharp conditions for lower semicontinuity in $L^1$ (2003)
• M. Gori - F. Maggi (ESAIM: COCV)
  On the Lower Semicontinuity of Supremal Functionals (2003)

Seminars:

• 9 jun 2021: Soap Films and Capillarity Theory
• 26 jan 2021: Soap films and capillarity theory
• 5 jun 2015: Hypersurfaces with almost constant mean curvature
• 19 jun 2014: Improved convergence theorem for perimeter minimizing clusters
• 19 dec 2007: Una stima di stabilita` per il problema isoperimetrico relativo ad un perimetro anisotropo.

Speaker:

• 16 jun 2025 - 20 jun 2025: Vito Volterra Meeting in Calculus of Variations 2025
• 10 jun 2025 - 19 jun 2025: School in Geometric Measure Theory and some related topics
• 16 sep 2024 - 20 sep 2024: Frontiers of the Calculus of Variations: a Celebration of the Mathematics of Gianni Dal Maso
• 17 jun 2024 - 21 jun 2024: Geometric Measure Theory and applications 2024
• 13 jun 2022 - 17 jun 2022: Shape Optimization, related topics and applications
• 8 jun 2022 - 10 jun 2022: Geometric Analysis and PDE on Garda Lake
• 14 jan 2019 - 17 jan 2019: Alessio Figalli, Fields medallist 2018
• 18 sep 2017 - 20 sep 2017: 4th Conference on Recent Trends in Nonlinear Phenomena
• 16 jun 2014 - 20 jun 2014: Isoperimetric Problems Between Analysis and Geometry
• 9 sep 2013 - 13 sep 2013: ERC School "Geometric Functional Inequalities and Shape Optimization"

Organizer:

• 24 aug 2020 - 4 sep 2020: 2020 Focus Period for the FRG: New Challenges in Geometric Measure Theory
• 26 may 2020 - 5 jun 2020: Summer Program in PDE 2020
• 4 jun 2018 - 15 jun 2018: International School on Extrinsic Curvature Flows
• 18 may 2015 - 29 may 2015: Calculus of Variations and Nonlinear Partial Differential Equations