Gian Paolo Leonardi

Applied Mathematics · 2003–2015

A researcher in the Science corpus: 5 papers; trusts 12 researchers and is trusted by 10 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 17 citations into it; #2,157 of 7,620 by trust here, #2,807 by citations
• Geometry and Topology — 7 citations into it
• Computational Theory and Mathematics — 6 citations into it; #11,535 of 12,182 by trust here, #11,462 by citations
• Mathematical Physics — 5 citations into it; #8,173 of 8,562 by trust here, #8,320 by citations

Whom Gian Paolo Leonardi trusts overall

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

1. Francesco Maggi
2. B. Kawohl
3. Luigi Ambrosio
4. N. Fusco
5. V. Caselles
6. Stanley J. Osher
7. Alessio Figalli
8. Aldo Pratelli
9. Thomas Lachand-Robert
10. Antonin Chambolle

Who trusts Gian Paolo Leonardi overall

1. N. Fusco
2. Valentino Magnani
3. Alessio Figalli
4. Roberto Monti
5. Lorenzo Brasco
6. Aldo Pratelli
7. Zoltán M. Balogh
8. Vesa Julin

Papers from Gian Paolo Leonardi's perspective

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

1. The sharp quantitative isoperimetric inequality
2. Some methods for studying stability in isoperimetric type problems
3. A mass transportation approach to quantitative isoperimetric inequalities
4. CHARACTERIZATION OF CHEEGER SETS FOR CONVEX SUBSETS OF THE PLANE
5. Uniqueness of the Cheeger set of a convex body (Pacific Journal of Mathematics)
6. The sharp quantitative Sobolev inequality for functions of bounded variation
7. Nonlinear total variation based noise removal algorithms
8. Functions of Bounded Variation and Free Discontinuity Problems
9. Topics in Optimal Transportation
10. Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory

Their papers

• An overview on the Cheeger problem (2015) — 76 citations
• On the Cheeger sets in strips and non-convex domains (2014) — 51 citations
• A Selection Principle for the Sharp Quantitative Isoperimetric Inequality (2010) — 216 citations
• End-Point Equations and Regularity of Sub-Riemannian Geodesics (2008) — 72 citations
• Isoperimetric sets on Carnot groups (2003) — 93 citations