Roberto Monti

Applied Mathematics · 2001–2014

A researcher in the Science corpus: 9 papers; trusts 13 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 20 citations into it; #1,403 of 7,620 by trust here, #1,400 by citations
• Geometry and Topology — 11 citations into it; #2,849 of 7,422 by trust here, #2,207 by citations
• Computational Theory and Mathematics — 7 citations into it; #6,372 of 12,182 by trust here, #8,294 by citations

Whom Roberto Monti trusts overall

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

1. Luigi Ambrosio
2. P. Hajłasz
3. Bruno Franchi
4. Daniele Morbidelli
5. Francesco Serra Cassano
6. Scott D. Pauls
7. Pekka Koskela
8. Luca Capogna
9. D. Danielli
10. B. Kirchheim

Who trusts Roberto Monti overall

1. D. Monticelli
2. Manuel Ritor'e
3. Valentino Magnani
4. Jih-Hsin Cheng
5. Giovanni Mancini
6. D. Bakry
7. Matthieu Rickly
8. Andrei A. Agrachev
9. Scott D. Pauls
10. Davide Barilari

Papers from Roberto Monti's perspective

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

1. An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
2. Rectifiable sets in metric and Banach spaces
3. Surface measures in Carnot-Carathéodory spaces
4. Area-stationary surfaces in the Heisenberg group H1
5. Minimal surfaces in pseudohermitian geometry
6. Currents in metric spaces
7. Some Fine Properties of Sets of Finite Perimeter in Ahlfors Regular Metric Measure Spaces
8. Transport equation and Cauchy problem for BV vector fields
9. Rectifiability and perimeter in the Heisenberg group
10. Sobolev met Poincaré

Their papers

• Kelvin transform for Grushin operators and critical semilinear equations (2006) — 100 citations
• Regular domains in homogeneous groups (2005) — 50 citations
• Regularity results for sub-Riemannian geodesics (2014) — 51 citations
• End-Point Equations and Regularity of Sub-Riemannian Geodesics (2008) — 72 citations
• Convex isoperimetric sets in the Heisenberg group (2006) — 64 citations
• Sobolev Inequalities for Weighted Gradients (2006) — 47 citations
• Geodetically Convex Sets in the Heisenberg Group (2005) — 51 citations
• Isoperimetric inequality in the Grushin plane (2004) — 54 citations
• Surface measures in Carnot-Carathéodory spaces (2001) — 213 citations