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Luca Capogna
Luca Capogna
Professor, Smith College
Verified email at smith.edu - Homepage
Title
Cited by
Cited by
Year
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
6352007
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
2661993
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
2191994
Regularity of quasi‐linear equations in the Heisenberg group
L Capogna
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 1997
1671997
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
1621996
Regularity for quasilinear equations and quasiconformal maps in Carnot groups
L Capogna
Mathematische Annalen 313 (2), 263-295, 1999
1071999
Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Carathéodory metrics
L Capogna, N Garofalo
Journal of Fourier Analysis and Applications 4, 403-432, 1998
1051998
Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type
L Capogna, N Garofalo
Journal of the European Mathematical Society 5 (1), 1-40, 2003
782003
Conformality and -harmonicity in Carnot groups
L Capogna, M Cowling
622006
Subelliptic mollifiers and a basic pointwise estimate of Poincaré type
L Capogna, D Danielli, N Garofalo
Mathematische Zeitschrift 226 (1), 147-154, 1997
581997
Uniform domains and quasiconformal mappings on the Heisenberg group
L Capogna, P Tang
manuscripta mathematica 86, 267-281, 1995
581995
Regularity of Non-characteristic Minimal Graphs in the Heisenberg Group ℍ 1
L Capogna, G Citti, M Manfredini
Indiana University mathematics journal, 2115-2160, 2009
552009
Legendrian energy minimizers. Part I: Heisenberg group target
L Capogna, FH Lin
Calculus of Variations and Partial Differential Equations 12 (2), 145-171, 2001
502001
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
451994
Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups , n > 1
L Capogna, G Citti, M Manfredini
Walter de Gruyter GmbH & Co. KG 2010 (648), 75-110, 2010
412010
The Aronsson-Euler equation for absolutely minimizing Lipschitz extensions with respect to Carnot-Carathéodory metrics
T Bieske, L Capogna
Transactions of the American Mathematical Society 357 (2), 795-823, 2005
402005
Harmonic measure: geometric and analytic points of view
L Capogna, CE Kenig, L Lanzani
American Mathematical Soc., 2005
392005
Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups , n > 1
L Capogna, G Citti, M Manfredini
Walter de Gruyter GmbH & Co. KG 2010 (648), 75-110, 2010
372010
Second Order Linear equations in Carnot Groups
L Capogna, Q Han
Harmonic Analysis at Mount Holyoke: Proceedings of an AMS-IMS-SIAM Joint …, 2003
372003
Examples of uniform and NTA domains in Carnot groups
L Capogna, N Garofalo, D Nhieu
Proceedings on Analysis and Geometry, 103-121, 2000
362000
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