W regularity for solutions of the Monge-Ampère equation.
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- Inventiones Mathematicae, 2013, v. 192, n. 1, p. 55, doi. 10.1007/s00222-012-0405-4
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Works matching AU FIGALLI, ALESSIO
Results: 58
1
2
A quantitative stability result for the Prékopa–Leindler inequality for arbitrary measurable functions.
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- Annales de l'Institut Henri Poincaré C, 2024, v. 41, n. 3, p. 565, doi. 10.4171/AIHPC/97
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- Publication type:
- Article
3
Regularity of optimal transport maps on multiple products of spheres.
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- Journal of the European Mathematical Society (EMS Publishing), 2013, v. 15, n. 4, p. 1131, doi. 10.4171/JEMS/388
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- Article
4
On flows of H<sup>3/2</sup>-vector fields on the circle.
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- Mathematische Annalen, 2010, v. 347, n. 1, p. 43, doi. 10.1007/s00208-009-0426-5
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- Publication type:
- Article
5
On stable solutions for boundary reactions: a De Giorgi-type result in dimension 4 + 1.
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- Inventiones Mathematicae, 2020, v. 219, n. 1, p. 153, doi. 10.1007/s00222-019-00904-2
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- Publication type:
- Article
6
On the fine structure of the free boundary for the classical obstacle problem.
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- Inventiones Mathematicae, 2019, v. 215, n. 1, p. 311, doi. 10.1007/s00222-018-0827-8
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- Publication type:
- Article
7
Generic regularity of free boundaries for the obstacle problem.
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- Publications Mathematiques, 2020, v. 132, n. 1, p. 181, doi. 10.1007/s10240-020-00119-9
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- Publication type:
- Article
8
Partial regularity for optimal transport maps.
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- Publications Mathematiques, 2015, v. 121, n. 1, p. 81, doi. 10.1007/s10240-014-0064-7
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- Publication type:
- Article
9
Infinite‐width limit of deep linear neural networks.
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- Communications on Pure & Applied Mathematics, 2024, v. 77, n. 10, p. 3958, doi. 10.1002/cpa.22200
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- Publication type:
- Article
10
Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations.
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- Communications on Pure & Applied Mathematics, 2024, v. 77, n. 1, p. 3, doi. 10.1002/cpa.22132
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- Publication type:
- Article
11
Strong Stability for the Wulff Inequality with a Crystalline Norm.
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- Communications on Pure & Applied Mathematics, 2022, v. 75, n. 2, p. 422, doi. 10.1002/cpa.21928
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- Publication type:
- Article
12
Sharp Extinction Rates for Fast Diffusion Equations on Generic Bounded Domains.
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- Communications on Pure & Applied Mathematics, 2021, v. 74, n. 4, p. 744, doi. 10.1002/cpa.21887
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- Publication type:
- Article
13
THE MONGE-AMPÈRE EQUATION AND ITS LINK TO OPTIMAL TRANSPORTATION.
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- Bulletin (New Series) of the American Mathematical Society, 2014, v. 51, n. 4, p. 527, doi. 10.1090/S0273-0979-2014-01459-4
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- Article
14
Optimal transport: old and new.
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- 2010
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- Publication type:
- Book Review
15
On the prescribed negative Gauss curvature problem for graphs.
- Published in:
- Discrete & Continuous Dynamical Systems: Series A, 2023, v. 43, n. 3/4, p. 1, doi. 10.3934/dcds.2022133
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- Publication type:
- Article
16
Regularity of monotone transport maps between unbounded domains.
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- Discrete & Continuous Dynamical Systems: Series A, 2019, v. 39, n. 12, p. 7101, doi. 10.3934/dcds.2019297
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- Publication type:
- Article
17
Optimal transport: old and new.
- Published in:
- 2010
- By:
- Publication type:
- Book Review
18
Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations.
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- Calculus of Variations & Partial Differential Equations, 2018, v. 57, n. 2, p. 1, doi. 10.1007/s00526-018-1321-2
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- Publication type:
- Article
19
On the Ma-Trudinger-Wang curvature on surfaces.
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- Calculus of Variations & Partial Differential Equations, 2010, v. 39, n. 3/4, p. 307, doi. 10.1007/s00526-010-0311-9
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- Publication type:
- Article
20
C<sup>1</sup> regularity of solutions of the Monge–Ampère equation for optimal transport in dimension two.
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- Calculus of Variations & Partial Differential Equations, 2009, v. 35, n. 4, p. 537, doi. 10.1007/s00526-009-0222-9
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- Publication type:
- Article
21
On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations.
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- Calculus of Variations & Partial Differential Equations, 2008, v. 31, n. 4, p. 497, doi. 10.1007/s00526-007-0123-8
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- Publication type:
- Article
22
Global Sensitivity Analysis via Optimal Transport.
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- Management Science, 2025, v. 71, n. 5, p. 3809, doi. 10.1287/mnsc.2023.01796
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- Publication type:
- Article
23
A Quantitative Analysis of Metrics on $\mathbb{R}^n$ with Almost Constant Positive Scalar Curvature, with Applications to Fast Diffusion Flows.
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- IMRN: International Mathematics Research Notices, 2018, v. 2018, n. 21, p. 6780, doi. 10.1093/imrn/rnx071
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- Publication type:
- Article
24
Constraint Maps with Free Boundaries: the Obstacle Case.
- Published in:
- Archive for Rational Mechanics & Analysis, 2024, v. 248, n. 5, p. 1, doi. 10.1007/s00205-024-02032-5
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- Publication type:
- Article
25
On the Sharp Stability of Critical Points of the Sobolev Inequality.
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- Archive for Rational Mechanics & Analysis, 2020, v. 237, n. 1, p. 201, doi. 10.1007/s00205-020-01506-6
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- Publication type:
- Article
26
An Obstacle Problem for Conical Deformations of Thin Elastic Sheets.
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- Archive for Rational Mechanics & Analysis, 2018, v. 228, n. 2, p. 401, doi. 10.1007/s00205-017-1195-z
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- Publication type:
- Article
27
Global Well-posedness of the Spatially Homogeneous Kolmogorov-Vicsek Model as a Gradient Flow.
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- Archive for Rational Mechanics & Analysis, 2018, v. 227, n. 3, p. 869, doi. 10.1007/s00205-017-1176-2
- By:
- Publication type:
- Article
28
Existence and Uniqueness of Maximal Regular Flows for Non-smooth Vector Fields.
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- Archive for Rational Mechanics & Analysis, 2015, v. 218, n. 2, p. 1043, doi. 10.1007/s00205-015-0875-9
- By:
- Publication type:
- Article
29
Higher Integrability for Minimizers of the Mumford-Shah Functional.
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- Archive for Rational Mechanics & Analysis, 2014, v. 213, n. 2, p. 491, doi. 10.1007/s00205-014-0729-x
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- Publication type:
- Article
30
A General Class of Free Boundary Problems for Fully Nonlinear Elliptic Equations.
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- Archive for Rational Mechanics & Analysis, 2014, v. 213, n. 1, p. 269, doi. 10.1007/s00205-014-0734-0
- By:
- Publication type:
- Article
31
Hölder Continuity and Injectivity of Optimal Maps.
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- Archive for Rational Mechanics & Analysis, 2013, v. 209, n. 3, p. 747, doi. 10.1007/s00205-013-0629-5
- By:
- Publication type:
- Article
32
The Optimal Partial Transport Problem.
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- Archive for Rational Mechanics & Analysis, 2010, v. 195, n. 2, p. 533, doi. 10.1007/s00205-008-0212-7
- By:
- Publication type:
- Article
33
Geodesics in the Space of Measure-Preserving Maps and Plans.
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- Archive for Rational Mechanics & Analysis, 2009, v. 194, n. 2, p. 421, doi. 10.1007/s00205-008-0189-2
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- Publication type:
- Article
34
Strongly Nonlocal Dislocation Dynamics in Crystals.
- Published in:
- Communications in Partial Differential Equations, 2014, v. 39, n. 12, p. 2351, doi. 10.1080/03605302.2014.914536
- By:
- Publication type:
- Article
35
Existence of Eulerian Solutions to the Semigeostrophic Equations in Physical Space: The 2-Dimensional Periodic Case.
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- Communications in Partial Differential Equations, 2012, v. 37, n. 12, p. 2209, doi. 10.1080/03605302.2012.669443
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- Publication type:
- Article
36
Regularity Properties of Optimal Maps Between Nonconvex Domains in the Plane.
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- Communications in Partial Differential Equations, 2010, v. 35, n. 3, p. 465, doi. 10.1080/03605300903307673
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- Publication type:
- Article
37
On the density function on moduli spaces of toric 4-manifolds.
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- Advances in Geometry, 2016, v. 16, n. 3, p. 291, doi. 10.1515/advgeom-2016-0008
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- Publication type:
- Article
38
Free Boundary Regularity in the Parabolic Fractional Obstacle Problem.
- Published in:
- Communications on Pure & Applied Mathematics, 2018, v. 71, n. 10, p. 2129, doi. 10.1002/cpa.21745
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- Publication type:
- Article
39
Infinite Speed of Propagation and Regularity of Solutions to the Fractional Porous Medium Equation in General Domains.
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- Communications on Pure & Applied Mathematics, 2017, v. 70, n. 8, p. 1472, doi. 10.1002/cpa.21673
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- Publication type:
- Article
40
BMO-Type Norms Related to the Perimeter of Sets.
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- Communications on Pure & Applied Mathematics, 2016, v. 69, n. 6, p. 1062, doi. 10.1002/cpa.21620
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- Publication type:
- Article
41
Corrigendum: Semiclassical Limit of Quantum Dynamics with Rough Potentials and Well-Posedness of Transport Equations with Measure Initial Data.
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- Communications on Pure & Applied Mathematics, 2013, v. 66, n. 4, p. 646, doi. 10.1002/cpa.21440
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- Publication type:
- Article
42
Nonlocal Tug-of-War and the Infinity Fractional Laplacian.
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- Communications on Pure & Applied Mathematics, 2012, v. 65, n. 3, p. 337, doi. 10.1002/cpa.21379
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- Publication type:
- Article
43
Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data.
- Published in:
- Communications on Pure & Applied Mathematics, 2011, v. 64, n. 9, p. 1199, doi. 10.1002/cpa.20371
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- Publication type:
- Article
44
Continuity of optimal transport maps and convexity of injectivity domains on small deformations of 𝕊<sup>2</sup>.
- Published in:
- Communications on Pure & Applied Mathematics, 2009, v. 62, n. 12, p. 1670, doi. 10.1002/cpa.20293
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- Publication type:
- Article
45
On the Hausdorff dimension of the mather quotient.
- Published in:
- Communications on Pure & Applied Mathematics, 2009, v. 62, n. 4, p. 445, doi. 10.1002/cpa.20250
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- Publication type:
- Article
46
Strategic Execution Trajectories.
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- Applied Mathematical Finance, 2022, v. 29, n. 4, p. 288, doi. 10.1080/1350486X.2023.2194658
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- Publication type:
- Article
47
Optimal Regularity for the Convex Envelope and Semiconvex Functions Related to Supersolutions of Fully Nonlinear Elliptic Equations.
- Published in:
- Communications in Mathematical Physics, 2019, v. 367, n. 1, p. 1, doi. 10.1007/s00220-019-03370-2
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- Publication type:
- Article
48
Rigidity and sharp stability estimates for hypersurfaces with constant and almost-constant nonlocal mean curvature.
- Published in:
- Journal für die Reine und Angewandte Mathematik, 2018, v. 2018, n. 741, p. 275, doi. 10.1515/crelle-2015-0088
- By:
- Publication type:
- Article
49
Regularity and Bernstein-type results for nonlocal minimal surfaces.
- Published in:
- Journal für die Reine und Angewandte Mathematik, 2017, v. 2017, n. 729, p. 263, doi. 10.1515/crelle-2015-0006
- By:
- Publication type:
- Article
50
Regularity of solutions to the parabolic fractional obstacle problem.
- Published in:
- Journal für die Reine und Angewandte Mathematik, 2013, v. 2013, n. 680, p. 191, doi. 10.1515/crelle.2012.036
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- Publication type:
- Article