Francesco Maggi

Applied Mathematics · 2005–2017

A researcher in the Science corpus: 21 papers; trusts 29 researchers and is trusted by 58 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 78 citations into it; #184 of 7,620 by trust here, #145 by citations
• Computational Theory and Mathematics — 51 citations into it; #5,931 of 12,182 by trust here, #3,924 by citations
• Mathematical Physics — 26 citations into it; #1,915 of 8,562 by trust here, #1,658 by citations
• Geometry and Topology — 18 citations into it; #1,244 of 7,422 by trust here, #1,369 by citations

Whom Francesco Maggi trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. N. Fusco
2. Dario Cordero-Erausquin
3. Luigi Ambrosio
4. Robert J. McCann
5. L. Esposito
6. Cédric Villani
7. Aldo Pratelli
8. Bruno Nazaret
9. Alessio Figalli
10. Frank Duzaar

Who trusts Francesco Maggi overall

1. Alessio Figalli
2. N. Fusco
3. Gian Paolo Leonardi
4. Van Hoang Nguyen
5. Marco Cicalese
6. Aldo Pratelli
7. Bruno Nazaret
8. Andrea Cianchi
9. A. V. Kolesnikov
10. Lorenzo Brasco

Papers from Francesco Maggi's perspective

Ordered by how strongly the researchers Francesco Maggi trusts endorse each paper. Same corpus, a different order for every researcher.

1. Existence and uniqueness of monotone measure-preserving maps
2. Brunn-Minkowski inequality
3. Topics in Optimal Transportation
4. Functions of Bounded Variation and Free Discontinuity Problems
5. The sharp quantitative isoperimetric inequality
6. A MASS-TRANSPORTATION APPROACH TO SHARP SOBOLEV AND GAGLIARDO-NIRENBERG INEQUALITIES
7. Some methods for studying stability in isoperimetric type problems
8. A quantitative version of the isoperimetric inequality : the anisotropic case
9. On a weighted total variation minimization problem
10. Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces

Their papers

• Isoperimetry and Stability Properties of Balls with Respect to Nonlocal Energies (2014) — 238 citations
• Rigidity and sharp stability estimates for hypersurfaces with constant and almost-constant nonlocal mean curvature (2015) — 67 citations
• Balls have the worst best Sobolev inequalities (2005) — 71 citations
• A mass transportation approach to quantitative isoperimetric inequalities (2010) — 448 citations
• Alexandrov’s theorem revisited (2017) — 58 citations
• On the Shape of Compact Hypersurfaces with Almost‐Constant Mean Curvature (2015) — 73 citations
• Regularity of Free Boundaries in Anisotropic Capillarity Problems and the Validity of Young’s Law (2014) — 121 citations
• A direct approach to Plateau's problem (2014) — 59 citations
• Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation (2013) — 85 citations
• On the isoperimetric problem for radial log-convex densities (2013) — 51 citations
• Sets of Finite Perimeter and Geometric Variational Problems: SETS OF FINITE PERIMETER (2012) — 117 citations
• Sets of Finite Perimeter and Geometric Variational Problems: Existence of minimizing clusters (2012) — 195 citations
• Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory (2012) — 571 citations
• Sets of Finite Perimeter and Geometric Variational Problems: Equilibrium shapes of liquids and sessile drops (2012) — 239 citations
• On the isoperimetric deficit in Gauss space (2011) — 105 citations
• A refined Brunn-Minkowski inequality for convex sets (2009) — 122 citations
• Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities (2009) — 113 citations
• The sharp Sobolev inequality in quantitative form (2009) — 171 citations
• Some methods for studying stability in isoperimetric type problems (2008) — 73 citations
• The sharp quantitative isoperimetric inequality (2008) — 444 citations