Luca Capogna

Applied Mathematics · 2003–2010

A researcher in the Science corpus: 4 papers; trusts 17 researchers and is trusted by 15 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 38 citations into it; #1,833 of 7,620 by trust here, #1,522 by citations
• Geometry and Topology — 14 citations into it
• Astronomy and Astrophysics — 11 citations into it; #6,165 of 10,964 by trust here, #10,128 by citations
• Mathematical Physics — 10 citations into it; #3,566 of 8,562 by trust here, #2,288 by citations
• Computational Theory and Mathematics — 9 citations into it; #5,623 of 12,182 by trust here, #4,365 by citations

Whom Luca Capogna trusts overall

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

1. Scott D. Pauls
2. Jih-Hsin Cheng
3. D. Danielli
4. Jenn-Fang Hwang
5. Francesco Serra Cassano
6. F. Bigolin
7. Nicola Garofalo
8. Manuel Ritor'e
9. Giovanna Citti
10. Luigi Ambrosio

Who trusts Luca Capogna overall

1. P. Hajłasz
2. A. Domokos
3. Pawel Strzelecki
4. Roberto Monti
5. Giovanna Citti
6. Veronique Fischer
7. Manuel Ritor'e
8. Zoltán M. Balogh
9. F. Bigolin
10. Maria Manfredini

Papers from Luca Capogna's perspective

Ordered by how strongly the researchers Luca Capogna 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. Area-stationary surfaces in the Heisenberg group H1
3. Properly embedded and immersed minimal surfaces in the Heisenberg group (Bulletin of the Australian Mathematical Society)
4. Minimal surfaces in pseudohermitian geometry
5. The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations
6. Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group H1
7. Constant mean curvature surfaces in sub-Riemannian geometry
8. Existence and uniqueness for P-area minimizers in the Heisenberg group
9. The Bernstein Problem in the Heisenberg Group
10. Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups , n > 1

Their papers

• An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem (2007) — 577 citations
• Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups , n > 1 (2010) — 47 citations
• Regularity of non-characteristic minimal graphs in the Heisenberg group $H^1$ (2008) — 57 citations
• Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type (2003) — 73 citations