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 | 704 | 1996 |
Monotonicity properties of variational integrals, A p weights and unique continuation N Garofalo, FH Lin Indiana University Mathematics Journal 35 (2), 245-268, 1986 | 527 | 1986 |
Unique continuation for elliptic operators: a geometric‐variational approach N Garofalo, FH Lin Communications on pure and applied mathematics 40 (3), 347-366, 1987 | 391 | 1987 |
Frequency functions on the Heisenberg group, the uncertainty principle and unique continuation N Garofalo, E Lanconelli Annales de l'institut Fourier 40 (2), 313-356, 1990 | 288 | 1990 |
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 | 273 | 1993 |
Existence and nonexistence results for semilinear equations on the Heisenberg group N Garofalo, E Lanconelli Indiana University mathematics journal 41 (1), 71-98, 1992 | 236 | 1992 |
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 | 222 | 1994 |
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 |
Harnack’s inequality for Schrödinger operators and the continuity of solutions F Chiarenza, E Fabes, N Garofalo Proceedings of the American Mathematical Society 98 (3), 415-425, 1986 | 171 | 1986 |
A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations EB Fabes, N Garofalo, S Salsa Illinois journal of mathematics 30 (4), 536-565, 1986 | 169 | 1986 |
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 | 165 | 1996 |
Harnack's inequality for sum of squares of vector fields plus a potential G Citti, N Garofalo, E Lanconelli American Journal of Mathematics 115 (3), 699-734, 1993 | 163 | 1993 |
Notions of convexity in Carnot groups D Danielli, N Garofalo, DM Nhieu Communications in Analysis and Geometry 11 (2), 263-341, 2003 | 156 | 2003 |
Fractional thoughts N Garofalo arXiv preprint arXiv:1712.03347, 2017 | 147 | 2017 |
A gradient bound for entire solutions of quasi‐linear equations and its consequences L Caffarelli, N Garofalo, F Segala Communications on Pure and Applied Mathematics 47 (11), 1457-1473, 1994 | 146 | 1994 |
A symmetry result related to some overdetermined boundary value problems N Garofalo, JL Lewis American Journal of Mathematics 111 (1), 9-33, 1989 | 138 | 1989 |
Sub-Riemannian calculus on hypersurfaces in Carnot groups D Danielli, N Garofalo, DM Nhieu Advances in Mathematics 215 (1), 292-378, 2007 | 136 | 2007 |
Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type N Garofalo, D Vassilev | 135 | 2001 |
Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem N Garofalo, A Petrosyan Inventiones mathematicae 177 (2), 415-461, 2009 | 130 | 2009 |
Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries F Baudoin, N Garofalo Journal of the European Mathematical Society 19 (1), 151-219, 2016 | 129 | 2016 |