Bruno Franchi

Applied Mathematics · 2001–2016

A researcher in the Science corpus: 9 papers; trusts 14 researchers and is trusted by 33 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 47 citations into it; #395 of 7,620 by trust here, #361 by citations
• Geometry and Topology — 36 citations into it; #1,737 of 7,422 by trust here, #1,298 by citations
• Mathematical Physics — 24 citations into it
• Computational Theory and Mathematics — 15 citations into it; #5,078 of 12,182 by trust here, #8,294 by citations
• Astronomy and Astrophysics — 6 citations into it; #1,789 of 10,964 by trust here, #4,580 by citations

Whom Bruno Franchi trusts overall

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

1. Francesco Serra Cassano
2. Luigi Ambrosio
3. Raul Paolo Serapioni
4. B. Kirchheim
5. J. Heinonen
6. Zoltán M. Balogh
7. Andrea Bonfiglioli
8. Scott D. Pauls
9. Valentino Magnani
10. Giovanna Citti

Who trusts Bruno Franchi overall

1. Valentino Magnani
2. Francesco Serra Cassano
3. Luigi Ambrosio
4. Raul Paolo Serapioni
5. Scott D. Pauls
6. P. Mattila
7. Jeff Cheeger
8. Enrico Le Donne
9. F. Bigolin
10. D. Danielli

Papers from Bruno Franchi's perspective

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

1. Rectifiable sets in metric and Banach spaces
2. A notion of rectifiability modeled on Carnot groups
3. Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric
4. Surface measures in Carnot-Carathéodory spaces
5. Size of characteristic sets and functions with prescribed gradient
6. Characteristic points, rectifiability and perimeter measure on stratified groups
7. Lectures on Lipschitz analysis
8. Rectifiability and parameterization of intrinsic regular surfaces in the Heisenberg group
9. An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
10. Extension Problem and Harnack's Inequality for Some Fractional Operators

Their papers

• Harnack inequality for fractional sub-Laplacians in Carnot groups (2012) — 85 citations
• Area formula for centered Hausdorff measures in metric spaces (2015) — 47 citations
• Intrinsic Lipschitz Graphs Within Carnot Groups (2016) — 103 citations
• Differentiability of Intrinsic Lipschitz Functions within Heisenberg Groups (2011) — 89 citations
• Compensated compactness for differential forms in Carnot groups and applications (2010) — 50 citations
• Regular submanifolds, graphs and area formula in Heisenberg groups (2007) — 145 citations
• On the structure of finite perimeter sets in step 2 Carnot groups (2003) — 239 citations
• Regular Hypersurfaces, Intrinsic Perimeter and Implicit Function Theorem in Carnot Groups (2003) — 161 citations
• Rectifiability and perimeter in the Heisenberg group (2001) — 411 citations