pith. sign in

Alessio Figalli

Identifiers

  • name variant Alessio Figalli 0.60 · backfill

Papers (78)

  1. A dimension-free interpolation of Caffarelli's contraction theorem math.AP · 2026 · author #2
  2. Symmetry results for critical anisotropic $p$-Laplacian equations in convex cones math.AP · 2019 · author #2
  3. Regularity of monotone transport maps between unbounded domains math.AP · 2019 · author #2
  4. Sharp Extinction Rates for Fast Diffusion Equations on Generic Bounded Domains math.AP · 2019 · author #2
  5. Regularity of interfaces in phase transitions via obstacle problems math.AP · 2018 · author #1
  6. Free boundary regularity in obstacle problems math.AP · 2018 · author #1
  7. An overview of unconstrained free boundary problems math.AP · 2018 · author #1
  8. On the Monge-Amp\`ere equation math.AP · 2018 · author #1
  9. On the Continuity of Center-Outward Distribution and Quantile Functions math.AP · 2018 · author #1
  10. Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations math.AP · 2017 · author #2
  11. On the fine structure of the free boundary for the classical obstacle problem math.AP · 2017 · author #1
  12. An obstacle problem for conical deformations of thin elastic sheets math.AP · 2017 · author #1
  13. On stable solutions for boundary reactions: a De Giorgi-type result in dimension 4+1 math.AP · 2017 · author #1
  14. A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment math.AP · 2017 · author #1
  15. On the regularity of the free boundary in the $p$-Laplacian obstacle problem math.AP · 2017 · author #1
  16. Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains math.AP · 2016 · author #2
  17. Partial $W^{2,p}$ regularity for optimal transport maps math.AP · 2016 · author #2
  18. Rigidity and stability of Caffarelli's log-concave perturbation theorem math.AP · 2016 · author #2
  19. Characterization of isoperimetric sets inside almost-convex cones math.AP · 2016 · author #2
  20. Free boundary regularity in the parabolic fractional obstacle problem math.AP · 2016 · author #2
  21. A quantitative analysis of metrics on $\mathbf{R}^n$ with almost constant positive scalar curvature, with applications to fast diffusion flows math.AP · 2016 · author #2
  22. The sharp quantitative Euclidean concentration inequality math.AP · 2016 · author #1
  23. Symplectic $G$-capacities and integrable systems math.SG · 2015 · author #1
  24. Infinite speed of propagation and regularity of solutions to the fractional porous medium equation in general domains math.AP · 2015 · author #2
  25. Lipschitz Changes of Variables between Perturbations of Log-concave Measures math.AP · 2015 · author #2
  26. Gradient stability for the Sobolev inequality: the case $p\geq 2$ math.AP · 2015 · author #1
  27. Global well-posedness of the spatially homogeneous Kolmogorov-Vicsek model as a gradient flow math.AP · 2015 · author #1
  28. Nonlinear Bounds in H\"older Spaces for the Monge-Amp\`ere Equation math.AP · 2015 · author #1
  29. Global regularity for the free boundary in the obstacle problem for the fractional Laplacian math.AP · 2015 · author #2
  30. Rigidity and sharp stability estimates for hypersurfaces with constant and almost-constant nonlocal mean curvature math.AP · 2015 · author #2
  31. How to recognize convexity of a set from its marginals math.MG · 2014 · author #1
  32. Quantitative stability for the Brunn-Minkowski inequality math.MG · 2014 · author #1
  33. Quantitative stability for sumsets in $R^n$ math.NT · 2014 · author #1
  34. Boundary $\varepsilon$-regularity in optimal transportation math.AP · 2014 · author #2
  35. On the Lagrangian structure of transport equations: the Vlasov-Poisson system math.AP · 2014 · author #3
  36. On the density function on moduli spaces of toric 4-manifolds math.SG · 2014 · author #1
  37. Universality in several-matrix models via approximate transport maps math.PR · 2014 · author #1
  38. BMO-type norms related to the perimeter of sets math.FA · 2014 · author #4
  39. Existence and uniqueness of maximal regular flows for non-smooth vector fields math.AP · 2014 · author #3
  40. A note on the dimension of the singular set in free interface problems math.AP · 2014 · author #2
  41. On the convexity of injectivity domains on nonfocal manifolds math.DG · 2014 · author #1
  42. Strongly nonlocal dislocation dynamics in crystals math.AP · 2013 · author #2
  43. Transport maps for Beta-matrix models and Universality math.PR · 2013 · author #2
  44. The Monge-Amp\`ere equation and its link to optimal transportation math.AP · 2013 · author #2
  45. A general class of free boundary problems for fully nonlinear parabolic equations math.AP · 2013 · author #1
  46. Regularity and Bernstein-type results for nonlocal minimal surfaces math.AP · 2013 · author #1
  47. Higher integrability for minimizers of the Mumford-Shah functional math.AP · 2013 · author #2
  48. Sobolev regularity for Monge-Amp\`ere type equations math.AP · 2012 · author #2
  49. A sharp stability result for the relative isoperimetric inequality inside convex cones math.AP · 2012 · author #1
  50. Partial Regularity for optimal transport maps math.AP · 2012 · author #2
  51. On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces math.CA · 2012 · author #2
  52. A global existence result for the semigeostrophic equations in three dimensional convex domains math.AP · 2012 · author #4
  53. Asymptotics of the $s$-perimeter as $s\searrow 0$ math.AP · 2012 · author #2
  54. A note on interior $W^{2,1+\varepsilon}$ estimates for the Monge-Ampere equation math.AP · 2012 · author #2
  55. Second order stability for the Monge-Ampere equation and strong Sobolev convergence of optimal transport maps math.AP · 2012 · author #2
  56. Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces math.AP · 2012 · author #2
  57. $W^{2,1}$ regularity for solutions of the Monge-Amp\`ere equation math.AP · 2011 · author #2
  58. Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case math.AP · 2011 · author #4
  59. Total Variation Flow and Sign Fast Diffusion in one dimension math.AP · 2011 · author #2
  60. On supporting hyperplanes to convex bodies math.AP · 2011 · author #1
  61. H\"older continuity and injectivity of optimal maps math.AP · 2011 · author #1
  62. Regularity of solutions to the parabolic fractional obstacle problem math.AP · 2011 · author #2
  63. Semiclassical limit for mixed states with singular and rough potentials math.AP · 2010 · author #1
  64. Non-Local Tug-of-War and the Infinity Fractional Laplacian math.AP · 2010 · author #3
  65. Lecture notes on variational models for incompressible Euler equations math.CA · 2010 · author #2
  66. Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces math.CA · 2010 · author #2
  67. Semiclassical limit of quantum dynamics with rough potentials and well posedness of transport equations with measure initial data math.AP · 2010 · author #2
  68. Regularity of optimal transport maps on multiple products of spheres math.AP · 2010 · author #1
  69. When is multidimensional screening a convex program? math.OC · 2009 · author #1
  70. Continuity and injectivity of optimal maps for non-negatively cross-curved costs math.AP · 2009 · author #1
  71. Almost everywhere well-posedness of continuity equations with measure initial data math.AP · 2009 · author #2
  72. Some new well-posedness results for continuity and transport equations, and applications to the chromatography system math.AP · 2009 · author #3
  73. Mass Transportation on Sub-Riemannian Manifolds math.OC · 2008 · author #1
  74. On flows associated to Sobolev vector fields in Wiener spaces: an approach \`a la DiPerna-Lions math.AP · 2008 · author #2
  75. Optimal transportation on non-compact manifolds math.OC · 2007 · author #2
  76. On the Hausdorff Dimension of the Mather Quotient math.DS · 2007 · author #2
  77. Invariant measures of Hamiltonian systems with prescribed asymptotic Maslov index math.DS · 2007 · author #2
  78. High action orbits for Tonelli Lagrangians and superlinear Hamiltonians on compact configuration spaces math.DS · 2006 · author #2

Mentions

  • 1508.02692 #1 · backfill · confidence 0.70 Alessio Figalli
  • 1506.04684 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1503.00653 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1502.06513 #1 · backfill · confidence 0.70 Alessio Figalli
  • 1502.06511 #1 · backfill · confidence 0.70 Alessio Figalli
  • 1412.7586 #1 · backfill · confidence 0.70 Alessio Figalli
  • 1412.5747 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1412.3608 #3 · backfill · confidence 0.70 Alessio Figalli
  • 1408.1462 #1 · backfill · confidence 0.70 Alessio Figalli
  • 1407.2759 #1 · backfill · confidence 0.70 Alessio Figalli
  • 1407.2023 #4 · backfill · confidence 0.70 Alessio Figalli
  • 1406.3701 #3 · backfill · confidence 0.70 Alessio Figalli
  • 1405.7827 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1404.0141 #1 · backfill · confidence 0.70 Alessio Figalli
  • 1311.3549 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1311.2315 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1310.6167 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1309.0782 #1 · backfill · confidence 0.70 Alessio Figalli
  • 1307.0234 #1 · backfill · confidence 0.70 Alessio Figalli
  • 1303.1196 #2 · backfill · confidence 0.70 Alessio Figalli
  • 2605.24443 #2 · arxiv_oai · confidence 0.70 Alessio Figalli
  • 1211.2341 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1210.3113 #1 · backfill · confidence 0.70 Alessio Figalli
  • 1209.5640 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1206.6307 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1205.5435 #4 · backfill · confidence 0.70 Alessio Figalli
  • 1204.0750 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1202.5566 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1202.5561 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1202.4606 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1111.7207 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1111.7202 #4 · backfill · confidence 0.70 Alessio Figalli
  • 1107.2153 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1107.1016 #1 · backfill · confidence 0.70 Alessio Figalli
  • 1107.1014 #1 · backfill · confidence 0.70 Alessio Figalli
  • 1101.5170 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1012.2483 #1 · backfill · confidence 0.70 Alessio Figalli
  • 1011.1966 #3 · backfill · confidence 0.70 Alessio Figalli
  • 1009.3419 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1009.0189 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1006.5388 #2 · backfill · confidence 0.70 Alessio Figalli
  • 1006.1957 #1 · backfill · confidence 0.70 Alessio Figalli
  • 0912.3033 #1 · backfill · confidence 0.70 Alessio Figalli
  • 0911.3952 #1 · backfill · confidence 0.70 Alessio Figalli
  • 0910.3573 #2 · backfill · confidence 0.70 Alessio Figalli
  • 0904.0359 #3 · backfill · confidence 0.70 Alessio Figalli
  • 0803.2917 #1 · backfill · confidence 0.70 Alessio Figalli
  • 0803.1359 #2 · backfill · confidence 0.70 Alessio Figalli
  • 0711.4519 #2 · backfill · confidence 0.70 Alessio Figalli
  • 0711.1359 #2 · backfill · confidence 0.70 Alessio Figalli
  • 0710.0067 #2 · backfill · confidence 0.70 Alessio Figalli

Frequent Coauthors