Francescopaolo Montefalcone

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All published works

Action	Title	Year	Authors
+	The distributional divergence of horizontal vector fields vanishing at infinity on Carnot groups	2022	Annalisa Baldi Francescopaolo Montefalcone
+ PDF Chat	Gaffney–Friedrichs inequality for differential forms on Heisenberg groups	2019	Bruno Franchi Francescopaolo Montefalcone Elena Boet Serra
+ PDF Chat	CMC Spheres in the Heisenberg Group	2019	Valentina Franceschi Francescopaolo Montefalcone Roberto Monti
+ PDF Chat	Regularity of the distance function to smooth hypersurfaces in some two-step Carnot groups	2017	Nicola Arcozzi Fausto Ferrari Francescopaolo Montefalcone
+	Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups	2016	Francescopaolo Montefalcone
+ PDF Chat	Stable H-Minimal Hypersurfaces	2013	Francescopaolo Montefalcone
+ PDF Chat	Geometric inequalities in Carnot groups	2013	Francescopaolo Montefalcone
+ PDF Chat	An integral formula on the Heisenberg group	2012	Francescopaolo Montefalcone
+	Geometric inequalities in Carnot groups	2012	Francescopaolo Montefalcone
+	Stable H-minimal hypersurfaces	2012	Francescopaolo Montefalcone
+	An integral formula on the Heisenberg group	2012	Francescopaolo Montefalcone
+	An integral formula on the Heisenberg group	2012	Francescopaolo Montefalcone
+	Geometric inequalities in Carnot groups	2012	Francescopaolo Montefalcone
+	Stable H-minimal hypersurfaces	2012	Francescopaolo Montefalcone
+	Hypergeometric solutions of the closed eigenvalue problem on Heisenberg Isoperimetric Profiles	2011	Francescopaolo Montefalcone
+	Stability of Heisenberg Isoperimetric Profiles	2011	Francescopaolo Montefalcone
+	Hypergeometric solutions of the closed eigenvalue problem on Heisenberg Isoperimetric Profiles	2011	Francescopaolo Montefalcone
+	Stability of Heisenberg Isoperimetric Profiles	2011	Francescopaolo Montefalcone
+	Isoperimetric and Sobolev inequalities on hypersurfaces in sub-Riemannian Carnot groups	2010	Francescopaolo Montefalcone
+ PDF Chat	Some relations among volume, intrinsic perimeter and one-dimensional restrictions of BV functions in Carnot groups	2009	Francescopaolo Montefalcone
+	Isoperimetric, Sobolev and Poincaré inequalities on hypersurfaces in sub-Riemannian Carnot groups	2009	Francescopaolo Montefalcone
+	CC-distance and metric normal of smooth hypersurfaces in sub-Riemannian Carnot groups	2009	Nicola Arcozzi Fausto Ferrari Francescopaolo Montefalcone
+	A note on the extension of BV functions in metric measure spaces	2007	Annalisa Baldi Francescopaolo Montefalcone
+	Hypersurfaces and variational formulas in sub-Riemannian Carnot groups	2007	Francescopaolo Montefalcone
+	Seminario di Analisi Matematica Dipartimento di Matematica dell'Universit a di Bologna	2007	Francescopaolo Montefalcone
+	Alcune formule integrali nei Gruppi di Carnot	2005	Francescopaolo Montefalcone
+	Some Remarks in Differential and Integral Geometry of Carnot Groups	2004	Francescopaolo Montefalcone

Common Coauthors

Coauthor	Papers Together
Nicola Arcozzi	2
Annalisa Baldi	2
Fausto Ferrari	2
Elena Boet Serra	1
Roberto Monti	1
Valentina Franceschi	1
Bruno Franchi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Geometric Measure Theory	1988	Herbert Fédérer	15
+ PDF Chat	Minimal surfaces in pseudohermitian geometry	2009	Jih-Hsin Cheng Jenn-Fang Hwang Andrea Malchiodi Paul Yang	12
+	Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces	1996	Nicola Garofalo Duy-Minh Nhieu	12
+ PDF Chat	Sub-Riemannian geometry	1986	Robert S. Strichartz	12
+	Area-stationary surfaces in the Heisenberg group <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">H</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math>	2008	Manuel Ritoré César Rosales	12
+ PDF Chat	Constant mean curvature surfaces in sub-Riemannian geometry	2008	Robert K. Hladky Scott D. Pauls	12
+	Size of characteristic sets and functions with prescribed gradient	2003	Zoltán M. Balogh	12
+ PDF Chat	The geometric Sobolev embedding for vector fields and the isoperimetric inequality	1994	Luca Capogna Donatella Danielli Nicola Garofalo	11
+	A Tour of Subriemannian Geometries, Their Geodesics and Applications	2006	Richard Montgomery	11
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason	11
+	Rectifiability and perimeter in the Heisenberg group	2001	Raul Serapioni Bruno Franchi Francesco Serra Cassano	10
+	Differentiability of Lipschitz Functions on Metric Measure Spaces	1999	Jeff Cheeger	8
+ PDF Chat	Introduction to Smooth Manifolds	2012	John M. Lee	8
+	Metriques de Carnot-Caratheodory et Quasiisometries des Espaces Symetriques de rang un	1989	Pierre Pansu	8
+	Some Fine Properties of Sets of Finite Perimeter in Ahlfors Regular Metric Measure Spaces	2001	Luigi Ambrosio	7
+	Sub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groups	2008	Zoltán M. Balogh Jeremy T. Tyson Ben Warhurst	7
+	Sobolev and isoperimetric inequalities for degenerate metrics	1994	Bruno Franchi Sylvestre Gallot Richard L. Wheeden	7
+	Intrinsic regular hypersurfaces in Heisenberg groups	2006	Luigi Ambrosio Francesco Serra Cassano Davide Vittone	7
+ PDF Chat	Minimal Surfaces in the Heisenberg Group	2004	Scott D. Pauls	7
+	Analysis and Geometry on Groups	1993	N. Th. Varopoulos Laurent Saloff‐Coste Thierry Coulhon	7
+	Fractured fractals and broken dreams: self-similar geometry through metric and measure	1999	Guy David Stephen Semmes	7
+	The Bernstein Problem in the Heisenberg Group	2002	Nicola Garofalo Scott D. Pauls	7
+ PDF Chat	Sub-Riemannian calculus on hypersurfaces in Carnot groups	2007	Donatella Danielli Nicola Garofalo Duy-Minh Nhieu	7
+	Rectifiable sets in metric and Banach spaces	2000	Luigi Ambrosio Bernd Kirchheim	6
+	Representations of nilpotent Lie groups and their applications	1989	Lawrence Corwin Frederick Greenleaf	6
+	Curvatures of left invariant metrics on lie groups	1976	John Milnor	6
+ PDF Chat	Carnot-Carathéodory spaces seen from within	1996	Mikhael Gromov	6
+	An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem	2007	Luca Capogna Scott D. Pauls Donatella Danielli Jeremy T. Tyson	6
+	Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups $H^n, n>1$	2008	Luca Capogna Giovanna Citti Maria Manfredini	5
+ PDF Chat	An intrinsic measure for submanifolds in stratified groups	2008	Valentino Magnani Davide Vittone	5
+	Variation of Perimeter Measure in sub-Riemannian geometry	2007	Robert K. Hladky Scott D. Pauls	5
+	The structure of complete stable minimal surfaces in 3‐manifolds of non‐negative scalar curvature	1980	D. Fischer-Colbrie Richard Schoen	5
+ PDF Chat	Convex isoperimetric sets in the Heisenberg group	2009	Roberto Monti Matthieu Rickly	5
+	On the structure of finite perimeter sets in step 2 Carnot groups	2003	Bruno Franchi Raul Serapioni Francesco Serra Cassano	5
+	Surface measures in Carnot-Carath�odory spaces	2001	Roberto Monti Francesco Serra Cassano	5
+	Hypersurfaces and variational formulas in sub-Riemannian Carnot groups	2007	Francescopaolo Montefalcone	5
+ PDF Chat	The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations	2007	Vittorio Barone Adesi Francesco Serra Cassano Davide Vittone	5
+ PDF Chat	Non-holonomic connections following Élie Cartan	2001	Jair Koiller Paulo R. Rodrigues P. Pitanga	5
+	Heisenberg isoperimetric problem. The axial case	2008	Roberto Monti	5
+	Metric Structures for Riemannian and Non-Riemannian Spaces	2007	Mikhael Gromov	5
+	Hölder regularity theorem for a class of linear nonuniformly elliptic operators with measurable coefficients	1983	Bruno Franchi Ermanno Lanconelli	5
+	Lie Groups, Lie Algebras, and Their Representations	1984	V. S. Varadarajan	4
+ PDF Chat	On Carnot-Carathéodory metrics	1985	John W. Mitchell	4
+ PDF Chat	Betti numbers, characteristic classes and sub-Riemannian geometry	1992	Zhong Ge	4
+	Sobolev and mean‐value inequalities on generalized submanifolds of R<sup>n</sup>	1973	J. H. Michael L. Simon	4
+ PDF Chat	Regular Hypersurfaces, Intrinsic Perimeter and Implicit Function Theorem in Carnot Groups	2003	Francesco Serra Cassano Bruno Franchi Raul Serapioni	4
+	Regular submanifolds, graphs and area formula in Heisenberg groups	2006	Bruno Franchi Raul Serapioni Francesco Serra Cassano	4
+ PDF Chat	The Second Variation for Minimal Submanifolds	1966	Róbert Hermann	4
+ PDF Chat	Integrability of the sub-Riemannian mean curvature of surfaces in the Heisenberg group	2011	Donatella Danielli Nicola Garofalo Duy-Minh Nhieu	4
+	Some Remarks in Differential and Integral Geometry of Carnot Groups	2004	Francescopaolo Montefalcone	4