An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem L Capogna, D Danielli, SD Pauls, J Tyson Springer Science & Business Media, 2007 | 638 | 2007 |
An embedding theorem and the Harnack inequality for nonlinear subelliptic equations L Capogna, D Danielli, N Garofalo Communications in Partial Differential Equations 18 (9-10), 1765-1794, 1993 | 268 | 1993 |
The geometric Sobolev embedding for vector fields and the isoperimetric inequality L Capogna, D Danielli, N Garofalo Communications in Analysis and Geometry 2 (2), 203-215, 1994 | 220 | 1994 |
Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations L Capogna, D Danielli, N Garofalo American Journal of Mathematics 118 (6), 1153-1196, 1996 | 163 | 1996 |
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 | 138 | 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 |
A minimum problem with free boundary for a degenerate quasilinear operator D Danielli, A Petrosyan Calculus of Variations and Partial Differential Equations 23 (1), 97-124, 2005 | 103 | 2005 |
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 |
Regularity at the boundary for solutions of nonlinear subelliptic equations D Danielli Indiana University Mathematics Journal, 269-286, 1995 | 64 | 1995 |
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 |
Subelliptic mollifiers and a basic pointwise estimate of Poincaré type L Capogna, D Danielli, N Garofalo Mathematische Zeitschrift 226 (1), 147-154, 1997 | 58 | 1997 |
Optimal regularity and the free boundary in the parabolic Signorini problem D Danielli, N Garofalo, A Petrosyan, T To American Mathematical Society 249 (1181), 2017 | 55* | 2017 |
An isoperimetric inequality and the geometric Sobolev embedding for vector fields L Capogna, D Danielli, N Garofalo Mathematical Research Letters 1 (2), 263-268, 1994 | 46 | 1994 |
A Fefferman–Phong type inequality and applications to quasilinear subelliptic equations D Danielli Potential Analysis 11 (4), 387-413, 1999 | 44 | 1999 |
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 |
A singular perturbation problem for the p-Laplace operator D Danielli, A Petrosyan, H Shahgholian Indiana University mathematics journal, 457-476, 2003 | 42 | 2003 |
The sub-elliptic obstacle problem: C1, α regularity of the free boundary in Carnot groups of step two D Danielli, N Garofalo, A Petrosyan Advances in Mathematics 211 (2), 485-516, 2007 | 37 | 2007 |
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 |