Isoperimetric and Sobolev inequalities for Carnot‐Carathéodory spaces and the existence of minimal surfaces N Garofalo, DM Nhieu Communications on Pure and Applied Mathematics 49 (10), 1081-1144, 1996 | 693 | 1996 |
Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces N Garofalo, DM Nhieu Journal d’Analyse Mathématique 74 (1), 67-97, 1998 | 172 | 1998 |
Notions of convexity in Carnot groups D Danielli, N Garofalo, DM Nhieu Communications in Analysis and Geometry 11 (2), 263-341, 2003 | 155 | 2003 |
Sub-Riemannian calculus on hypersurfaces in Carnot groups D Danielli, N Garofalo, DM Nhieu Advances in Mathematics 215 (1), 292-378, 2007 | 139 | 2007 |
Trace inequalities for Carnot-Carathéodory spaces and applications D Danielli, N Garofalo, DM Nhieu Annali della Scuola normale superiore di Pisa-Classe di scienze 27 (2), 195-252, 1998 | 122 | 1998 |
Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces D Danielli, N Garofalo, DM Nhieu American Mathematical Soc., 2006 | 109 | 2006 |
Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group H1 D Danielli, N Garofalo, DM Nhieu, SD Pauls Journal of Differential Geometry 81 (2), 251-295, 2009 | 77 | 2009 |
A notable family of entire intrinsic minimal graphs in the Heisenberg group which are not perimeter minimizing D Danielli, N Garofalo, DM Nhieu American journal of mathematics 130 (2), 317-339, 2008 | 58 | 2008 |
A partial solution of the isoperimetric problem for the Heisenberg group D Danielli, N Garofalo, DM Nhieu Walter de Gruyter 20 (1), 99-143, 2008 | 42 | 2008 |
The theorem of Busemann-Feller-Alexandrov in Carnot groups D Danielli, N Garofalo, DM Nhieu, F Tournier Communications in Analysis and Geometry 12 (4), 853-886, 2004 | 37 | 2004 |
Examples of uniform and NTA domains in Carnot groups L Capogna, N Garofalo, D Nhieu Proceedings on Analysis and Geometry, 103-121, 2000 | 36 | 2000 |
The Bernstein Problem for Embedded Surfaces in the Heisenberg Group ℍ 1 D Danielli, N Garofalo, DM Nhieu, SD Pauls Indiana University mathematics journal, 563-594, 2010 | 33 | 2010 |
Properties of harmonic measures in the Dirichlet problem for nilpotent Lie groups of Heisenberg type L Capogna, N Garofalo, D Nhieu American journal of mathematics 124 (2), 273-306, 2002 | 33 | 2002 |
Minimal surfaces, surfaces of constant mean curvature and isoperimetry in Carnot groups D Danielli, N Garofalo, DM Nhieu preprint, 2001 | 33 | 2001 |
Extension of Sobolev spaces on the Heisenberg group DM Nhieu Comptes rendus de l'Académie des sciences. Série 1, Mathématique 321 (12 …, 1995 | 30 | 1995 |
On the best possible character of the 𝐿^{𝑄} norm in some a priori estimates for non-divergence form equations in Carnot groups D Danielli, N Garofalo, DM Nhieu Proceedings of the American Mathematical Society 131 (11), 3487-3498, 2003 | 29 | 2003 |
Mutual absolute continuity of harmonic and surface measures for Hörmander type operators L Capogna, N Garofalo, DM Nhieu Perspectives in partial differential equations, harmonic analysis and …, 2008 | 24 | 2008 |
A version of a theorem of Dahlberg for the subelliptic Dirichlet problem L Capogna, N Garofalo, DM Nhieu Mathematical Research Letters 5 (4), 541, 1998 | 23 | 1998 |
Integrability of the sub-Riemannian mean curvature of surfaces in the Heisenberg group D Danielli, N Garofalo, D Nhieu Proceedings of the American Mathematical Society 140 (3), 811-821, 2012 | 18 | 2012 |
The Neumann problem for sub-Laplacians on Carnot groups and the extension theorem for Sobolev spaces DM Nhieu Annali di Matematica Pura ed Applicata 180, 1-25, 2001 | 18 | 2001 |