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Serapioni, Raul Paolo

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Author ID: serapioni.raul-paolo Recent zbMATH articles by "Serapioni, Raul Paolo"
Published as: Serapioni, R.; Serapioni, Raul; Serapioni, Raul P.; Serapioni, Raul Paolo
External Links: ORCID
Documents Indexed: 35 Publications since 1978, including 1 Book

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 1,079 times in 688 Documents Cited by Year
The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042
Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P.
352
1982
Rectifiability and perimeter in the Heisenberg group. Zbl 1057.49032
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
127
2001
On the structure of finite perimeter sets in step 2 Carnot groups. Zbl 1064.49033
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
78
2003
Meyers-Serrin type theorems and relaxation of variational integrals depending on vector fields. Zbl 0876.49014
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
60
1996
Regular submanifolds, graphs and area formula in Heisenberg groups. Zbl 1125.28002
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
51
2007
Regular hypersurfaces, intrinsic perimeter and implicit function theorem in Carnot groups. Zbl 1077.22008
Franchi, Bruno; Serapioni, Raul; Cassano, Francesco Serra
51
2003
Approximation and imbedding theorem for weighted Sobolev spaces associated with Lipschitz continuous vector fields. Zbl 0952.49010
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
48
1997
A Harnack inequality for degenerate parabolic equations. Zbl 0546.35035
Chiarenza, Filippo M.; Serapioni, Raul P.
34
1984
A remark on a Harnack inequality for dengerate parabolic equations. Zbl 0588.35013
Chiarenza, Filippo; Serapioni, Raul
31
1985
Pointwise estimates for a class of strongly degenerate elliptic operators: A geometrical approach. Zbl 0685.35046
Franchi, B.; Serapioni, R.
27
1987
Differentiability of intrinsic Lipschitz functions within Heisenberg groups. Zbl 1234.22002
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
23
2011
Degenerate parabolic equations and Harnack inequality. Zbl 0573.35052
Chiarenza, Filippo; Serapioni, Raul
23
1984
Intrinsic Lipschitz graphs in Heisenberg groups. Zbl 1151.58005
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
20
2006
Curvatures, functionals, currents. Zbl 0718.49030
Anzellotti, G.; Serapioni, R.; Tamanini, I.
20
1990
Intrinsic Lipschitz graphs within Carnot groups. Zbl 1352.22008
Franchi, Bruno; Serapioni, Raul Paolo
18
2016
Characterizations of intrinsic rectifiability in Heisenberg groups. Zbl 1229.28004
Mattila, Pertti; Serapioni, Raul; Cassano, Francesco Serra
18
2010
Intrinsic regular submanifolds in Heisenberg groups are differentiable graphs. Zbl 1225.53031
Arena, Gabriella; Serapioni, Raul
16
2009
\({\mathcal C}^ k\)-rectifiable sets. Zbl 0799.49028
Anzellotti, G.; Serapioni, R.
16
1994
On the motion of non-homogeneous fluids in the presence of diffusion. Zbl 0593.76104
Beirão da Veiga, Hugo; Serapioni, Raul; Valli, Alberto
15
1982
Irregular solutions of linear degenerate elliptic equations. Zbl 0919.35050
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
10
1998
Pointwise estimates for degenerate parabolic equations. Zbl 0591.35031
Chiarenza, Filippo; Serapioni, Raul
10
1987
Differentiability and approximate differentiability for intrinsic Lipschitz functions in Carnot groups and a Rademacher theorem. Zbl 1307.22007
Franchi, Bruno; Marchi, Marco; Serapioni, Raul Paolo
8
2014
Sets of finite perimeter in the Heisenberg group. Zbl 1033.49045
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
6
1999
Rectifiability and perimeter in step 2 groups. Zbl 1018.49029
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
4
2002
Remarks on Lipschitz domains in Carnot groups. Zbl 1305.53041
Franchi, Bruno; Penso, Valentina; Serapioni, Raul
3
2014
De Giorgi-Moser theorem for a class of degenerate non uniformly elliptic equations. Zbl 0679.35019
Chiarenza, Filippo; Rustichini, Aldo; Serapioni, Raul
3
1989
Intrinsic difference quotients. Zbl 06703892
Serapioni, Raul Paolo
2
2017
Area formula for centered Hausdorff measures in metric spaces. Zbl 1320.28007
Franchi, Bruno; Serapioni, Raul Paolo; Serra Cassano, Francesco
2
2015
Intrinsic submanifolds, graphs and currents in Heisenberg groups. Zbl 1109.28007
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
2
2005
Vector fields, Meyers-Serrin approximation theorem and Lavrentev phenomenon for degenerate functionals. Zbl 0838.49009
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
1
1995
Intrinsic difference quotients. Zbl 06703892
Serapioni, Raul Paolo
2
2017
Intrinsic Lipschitz graphs within Carnot groups. Zbl 1352.22008
Franchi, Bruno; Serapioni, Raul Paolo
18
2016
Area formula for centered Hausdorff measures in metric spaces. Zbl 1320.28007
Franchi, Bruno; Serapioni, Raul Paolo; Serra Cassano, Francesco
2
2015
Differentiability and approximate differentiability for intrinsic Lipschitz functions in Carnot groups and a Rademacher theorem. Zbl 1307.22007
Franchi, Bruno; Marchi, Marco; Serapioni, Raul Paolo
8
2014
Remarks on Lipschitz domains in Carnot groups. Zbl 1305.53041
Franchi, Bruno; Penso, Valentina; Serapioni, Raul
3
2014
Differentiability of intrinsic Lipschitz functions within Heisenberg groups. Zbl 1234.22002
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
23
2011
Characterizations of intrinsic rectifiability in Heisenberg groups. Zbl 1229.28004
Mattila, Pertti; Serapioni, Raul; Cassano, Francesco Serra
18
2010
Intrinsic regular submanifolds in Heisenberg groups are differentiable graphs. Zbl 1225.53031
Arena, Gabriella; Serapioni, Raul
16
2009
Regular submanifolds, graphs and area formula in Heisenberg groups. Zbl 1125.28002
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
51
2007
Intrinsic Lipschitz graphs in Heisenberg groups. Zbl 1151.58005
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
20
2006
Intrinsic submanifolds, graphs and currents in Heisenberg groups. Zbl 1109.28007
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
2
2005
On the structure of finite perimeter sets in step 2 Carnot groups. Zbl 1064.49033
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
78
2003
Regular hypersurfaces, intrinsic perimeter and implicit function theorem in Carnot groups. Zbl 1077.22008
Franchi, Bruno; Serapioni, Raul; Cassano, Francesco Serra
51
2003
Rectifiability and perimeter in step 2 groups. Zbl 1018.49029
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
4
2002
Rectifiability and perimeter in the Heisenberg group. Zbl 1057.49032
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
127
2001
Sets of finite perimeter in the Heisenberg group. Zbl 1033.49045
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
6
1999
Irregular solutions of linear degenerate elliptic equations. Zbl 0919.35050
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
10
1998
Approximation and imbedding theorem for weighted Sobolev spaces associated with Lipschitz continuous vector fields. Zbl 0952.49010
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
48
1997
Meyers-Serrin type theorems and relaxation of variational integrals depending on vector fields. Zbl 0876.49014
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
60
1996
Vector fields, Meyers-Serrin approximation theorem and Lavrentev phenomenon for degenerate functionals. Zbl 0838.49009
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco
1
1995
\({\mathcal C}^ k\)-rectifiable sets. Zbl 0799.49028
Anzellotti, G.; Serapioni, R.
16
1994
Curvatures, functionals, currents. Zbl 0718.49030
Anzellotti, G.; Serapioni, R.; Tamanini, I.
20
1990
De Giorgi-Moser theorem for a class of degenerate non uniformly elliptic equations. Zbl 0679.35019
Chiarenza, Filippo; Rustichini, Aldo; Serapioni, Raul
3
1989
Pointwise estimates for a class of strongly degenerate elliptic operators: A geometrical approach. Zbl 0685.35046
Franchi, B.; Serapioni, R.
27
1987
Pointwise estimates for degenerate parabolic equations. Zbl 0591.35031
Chiarenza, Filippo; Serapioni, Raul
10
1987
A remark on a Harnack inequality for dengerate parabolic equations. Zbl 0588.35013
Chiarenza, Filippo; Serapioni, Raul
31
1985
A Harnack inequality for degenerate parabolic equations. Zbl 0546.35035
Chiarenza, Filippo M.; Serapioni, Raul P.
34
1984
Degenerate parabolic equations and Harnack inequality. Zbl 0573.35052
Chiarenza, Filippo; Serapioni, Raul
23
1984
The local regularity of solutions of degenerate elliptic equations. Zbl 0498.35042
Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P.
352
1982
On the motion of non-homogeneous fluids in the presence of diffusion. Zbl 0593.76104
Beirão da Veiga, Hugo; Serapioni, Raul; Valli, Alberto
15
1982
all top 5

Cited by 692 Authors

32 Franchi, Bruno
17 Magnani, Valentino
16 Garofalo, Nicola
16 Serra Cassano, Francesco
16 Sire, Yannick
14 Citti, Giovanna
14 Serapioni, Raul Paolo
14 Wheeden, Richard Lee
13 Ferrari, Fausto
13 Pinamonti, Andrea
12 Cavalheiro, Albo Carlos
12 Delladio, Silvano
12 Otárola, Enrique
11 Salgado, Abner J.
11 Zamboni, Pietro
10 Di Fazio, Giuseppe
9 Abdellaoui, Boumediene
9 Fanciullo, Maria Stella
9 Monti, Roberto
9 Nyström, Kaj
9 Rios, Cristian
9 Speight, Gareth
9 Vittone, Davide
8 Baldi, Annalisa
8 Chiarenza, Filippo M.
8 Ritoré, Manuel
8 Tyson, Jeremy T.
7 Ambrosio, Luigi
7 Capogna, Luca
7 Cruz-Uribe, David Vincente
7 Danielli, Donatella
7 González, María del Mar
7 Le Donne, Enrico
7 Montefalcone, Francescopaolo
7 Sawyer, Eric T.
7 Tchou, Nicoletta Anna
7 Valdinoci, Enrico
6 Balogh, Zoltán M.
6 Caffarelli, Luis Ángel
6 Peral Alonso, Ireneo
6 Petrosyan, Arshak
6 Sikora, Adam S.
6 Uguzzoni, Francesco
5 Allendes, Alejandro
5 Biroli, Marco
5 Cheng, Jih-Hsin
5 Colorado, Eduardo
5 Fässler, Katrin S.
5 Hwang, Jenn-Fang
5 Karmanova, Maria B.
5 Kombe, Ismail
5 Lu, Guozhen
5 Mamedov, Farman Imran
5 Mayboroda, Svitlana
5 Morbidelli, Daniele
5 Nhieu, Duy-Minh
5 Nochetto, Ricardo Horacio
5 Phan, Tuoc Van
5 Pop, Camelia Alexandra
5 Primo, Ana R. M.
5 Rodney, Scott
5 Rosales, César
5 Sbordone, Carlo
5 Tesi, Maria Carla
5 Wei, Juncheng
5 Yang, Xiaoping
4 Beirão da Veiga, Hugo
4 Bigolin, Francesco
4 Casado-Díaz, Juan
4 Chousionis, Vasilis
4 Chua, Seng-Kee
4 Dipierro, Serena
4 Feneuil, Joseph
4 Franceschi, Valentina
4 Galli, Matteo
4 Ishige, Kazuhiro
4 Juillet, Nicolas
4 Kleiner, Bruce
4 Lanconelli, Ermanno
4 Lewis, John L.
4 Manfredini, Maria
4 Mosco, Umberto
4 Stinga, Pablo Raúl
4 Terracini, Susanna
4 Yang, Paul C. P.
3 Alkhutov, Yuriy Alexandrovich
3 Amanov, Rabil A.
3 Arena, Gabriella
3 Avelin, Benny
3 Banerjee, Agnid
3 Battaglia, Erika
3 Biagi, Stefano
3 Bonfiglioli, Andrea
3 Bresch, Didier
3 Cabré, Xavier
3 Caravenna, Laura
3 Cheeger, Jeff
3 Cinti, Eleonora
3 David, Guy
3 Dhara, Raj Narayan
...and 592 more Authors
all top 5

Cited in 163 Serials

52 Calculus of Variations and Partial Differential Equations
36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
35 Journal of Differential Equations
25 Transactions of the American Mathematical Society
23 Journal of Mathematical Analysis and Applications
22 Advances in Mathematics
21 The Journal of Geometric Analysis
20 Annali di Matematica Pura ed Applicata. Serie Quarta
17 Journal of Functional Analysis
16 Communications in Partial Differential Equations
15 Potential Analysis
14 Journal de Mathématiques Pures et Appliquées. Neuvième Série
13 Proceedings of the American Mathematical Society
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 Revista Matemática Iberoamericana
10 Mathematische Annalen
8 Archive for Rational Mechanics and Analysis
8 Journal d’Analyse Mathématique
8 Manuscripta Mathematica
8 Mathematische Zeitschrift
8 Communications on Pure and Applied Analysis
7 Annales de l’Institut Fourier
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
7 SIAM Journal on Mathematical Analysis
7 Discrete and Continuous Dynamical Systems
7 Journal of the European Mathematical Society (JEMS)
7 Journal of Evolution Equations
6 Applicable Analysis
6 Mathematische Nachrichten
6 Siberian Mathematical Journal
6 Communications in Contemporary Mathematics
6 Analysis and Geometry in Metric Spaces
5 Mathematics of Computation
5 Applied Mathematics Letters
5 Acta Mathematica Sinica. English Series
5 Advanced Nonlinear Studies
5 Advances in Calculus of Variations
4 Communications in Mathematical Physics
4 Inventiones Mathematicae
4 Zeitschrift für Analysis und ihre Anwendungen
4 St. Petersburg Mathematical Journal
4 Annales Academiae Scientiarum Fennicae. Mathematica
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Nonlinear Analysis. Theory, Methods & Applications
3 Communications on Pure and Applied Mathematics
3 Journal of Mathematical Physics
3 Indiana University Mathematics Journal
3 Journal für die Reine und Angewandte Mathematik
3 Monatshefte für Mathematik
3 Numerische Mathematik
3 Rendiconti del Seminario Matemàtico e Fisico di Milano
3 Rendiconti del Seminario Matematico della Università di Padova
3 Forum Mathematicum
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Mathematical Sciences (New York)
3 Annals of Mathematics. Second Series
3 Boundary Value Problems
3 Complex Variables and Elliptic Equations
3 Discrete and Continuous Dynamical Systems. Series S
3 Analysis & PDE
2 Bulletin of the Australian Mathematical Society
2 Israel Journal of Mathematics
2 Journal of Computational Physics
2 Arkiv för Matematik
2 Acta Mathematica
2 Commentationes Mathematicae Universitatis Carolinae
2 Illinois Journal of Mathematics
2 Publicacions Matemàtiques
2 Bulletin of the American Mathematical Society. New Series
2 SIAM Journal on Scientific Computing
2 Applied Mathematics. Series B (English Edition)
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Fractional Calculus & Applied Analysis
2 Differential Equations
2 Foundations of Computational Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Milan Journal of Mathematics
2 Mediterranean Journal of Mathematics
2 Journal of Fixed Point Theory and Applications
2 Science China. Mathematics
2 Communications in Mathematics
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Nonlinearity
1 Studia Mathematica
1 Ukrainian Mathematical Journal
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annales Polonici Mathematici
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Integral Equations and Operator Theory
1 Journal of the London Mathematical Society. Second Series
1 Memoirs of the American Mathematical Society
...and 63 more Serials
all top 5

Cited in 44 Fields

432 Partial differential equations (35-XX)
134 Calculus of variations and optimal control; optimization (49-XX)
133 Differential geometry (53-XX)
86 Functional analysis (46-XX)
78 Real functions (26-XX)
63 Measure and integration (28-XX)
55 Global analysis, analysis on manifolds (58-XX)
54 Topological groups, Lie groups (22-XX)
48 Operator theory (47-XX)
43 Harmonic analysis on Euclidean spaces (42-XX)
36 Potential theory (31-XX)
25 Abstract harmonic analysis (43-XX)
23 Numerical analysis (65-XX)
22 Fluid mechanics (76-XX)
14 Functions of a complex variable (30-XX)
12 Probability theory and stochastic processes (60-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Mechanics of deformable solids (74-XX)
7 General topology (54-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Ordinary differential equations (34-XX)
6 Convex and discrete geometry (52-XX)
5 Integral equations (45-XX)
5 Quantum theory (81-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Combinatorics (05-XX)
3 Nonassociative rings and algebras (17-XX)
3 Approximations and expansions (41-XX)
3 Computer science (68-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Special functions (33-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Geometry (51-XX)
2 Optics, electromagnetic theory (78-XX)
2 Geophysics (86-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 Number theory (11-XX)
1 Manifolds and cell complexes (57-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year