## Capogna, Luca

Compute Distance To:
 Author ID: capogna.luca Published as: Capogna, Luca; Capogna, L. External Links: ORCID
 Documents Indexed: 49 Publications since 1993, including 2 Books 2 Contributions as Editor · 1 Further Contribution Co-Authors: 34 Co-Authors with 47 Joint Publications 729 Co-Co-Authors
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### Co-Authors

 5 single-authored 16 Garofalo, Nicola 13 Citti, Giovanna 8 Danielli, Donatella 5 Manfredini, Maria 3 Lanzani, Loredana 3 Le Donne, Enrico 3 Nhieu, Duy-Minh 3 Tyson, Jeremy T. 2 Guan, Pengfei 2 Gutiérrez, Cristian E. 2 Lanconelli, Ermanno 2 Montanari, Annamaria 2 Pauls, Scott D. 1 Avelin, Benny 1 Bieske, Thomas J. 1 Bonk, Mario 1 Brown, Russell Murray 1 Cowling, Michael G. 1 Dyu-Minh Nhieu 1 Hajł, Asz Piotr 1 Han, Qing 1 Kenig, Carlos Eduardo 1 Lin, Fang Hua 1 Maldonado, Diego 1 Negrini, Elisa 1 Nyström, Kaj 1 Ottazzi, Alessandro 1 Raich, Andrew S. 1 Rea, Garrett 1 Senni Guidotti Magnani, Cosimo 1 Shanmugalingam, Nageswari 1 Shatah, Jalal 1 Tang, Puqi 1 Zhou, Xiaodan
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### Serials

 4 Mathematische Annalen 3 American Journal of Mathematics 3 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Communications in Partial Differential Equations 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Mathematical Research Letters 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Seminario Matematico 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Notices of the American Mathematical Society 1 Communications in Analysis and Geometry 1 Calculus of Variations and Partial Differential Equations 1 Electronic Research Announcements of the American Mathematical Society 1 The Journal of Fourier Analysis and Applications 1 Journal of the European Mathematical Society (JEMS) 1 Contemporary Mathematics 1 Lecture Notes in Mathematics 1 Progress in Mathematics 1 University Lecture Series 1 Bulletin of Mathematical Sciences 1 Analysis and Geometry in Metric Spaces 1 Mathematics in Engineering
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### Fields

 38 Partial differential equations (35-XX) 14 Differential geometry (53-XX) 9 Topological groups, Lie groups (22-XX) 8 Functions of a complex variable (30-XX) 8 Potential theory (31-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Abstract harmonic analysis (43-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Numerical analysis (65-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

45 Publications have been cited 991 times in 623 Documents Cited by Year
An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem. Zbl 1138.53003
Capogna, Luca; Danielli, Donatella; Pauls, Scott D.; Tyson, Jeremy T.
2007
An embedding theorem and the Harnack inequality for nonlinear subelliptic equations. Zbl 0802.35024
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1993
The geometric Sobolev embedding for vector fields and the isoperimetric inequality. Zbl 0864.46018
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1994
Regularity of quasi-linear equations in the Heisenberg group. Zbl 0886.22006
Capogna, Luca
1997
Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations. Zbl 0878.35020
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1996
Regularity for quasilinear equations and 1-quasiconformal maps in Carnot groups. Zbl 0927.35024
Capogna, Luca
1999
Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type. Zbl 1064.49026
Capogna, Luca; Garofalo, Nicola
2003
Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Carathéodory metrics. Zbl 0926.35043
Capogna, Luca; Garofalo, Nicola
1998
Conformality and $$Q$$-harmonicity in Carnot groups. Zbl 1106.30011
Capogna, Luca; Cowling, Michael
2006
Regularity of non-characteristic minimal graphs in the Heisenberg group $$\mathbb{H}^{1}$$. Zbl 1182.35087
Capogna, Luca; Citti, Giovanna; Manfredini, Maria
2009
Uniform domains and quasiconformal mappings on the Heisenberg group. Zbl 0824.30011
Capogna, Luca; Tang, Puqi
1995
Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups $${\mathbb{H}}^n$$, $$n>1$$. Zbl 1217.53060
Capogna, Luca; Citti, Giovanna; Manfredini, Maria
2010
Generalized mean curvature flow in Carnot groups. Zbl 1179.35097
Capogna, Luca; Citti, Giovanna
2009
The mixed problem in $$L^{p}$$ for some two-dimensional Lipschitz domains. Zbl 1180.35203
Lanzani, Loredana; Capogna, Luca; Brown, Russell M.
2008
Smoothness of subRiemannian isometries. Zbl 1370.53030
Capogna, Luca; Le Donne, Enrico
2016
Examples of uniform and NTA domains in Carnot groups. Zbl 1017.30020
Capogna, Luca; Garofalo, Nicola; Nhieu, Duy-Minh
2000
The Aronsson-Euler equation for absolutely minimizing Lipschitz extensions with respect to Carnot-Carathéodory metrics. Zbl 1058.35067
Bieske, Thomas; Capogna, Luca
2005
Legendrian energy minimizers. I: Heisenberg group target. Zbl 0997.58006
Capogna, Luca; Lin, Fang-Hua
2001
Properties of harmonic measures in the Dirichlet problem for nilpotent Lie groups of Heisenberg type. Zbl 0998.22001
Capogna, Luca; Garofalo, Nicola; Dyu-Minh Nhieu
2002
Subelliptic mollifiers and a basic pointwise estimate of Poincaré type. Zbl 0893.35023
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1997
Pointwise Schauder estimates for second order linear equations in Carnot groups. Zbl 1330.35056
Capogna, Luca; Han, Qing
2003
Harmonic measure. Geometric and analytic points of view. Zbl 1074.31001
Capogna, Luca; Kenig, Carlos E.; Lanzani, Loredana
2005
Ahlfors type estimates for perimeter measures in Carnot-Carathéodory spaces. Zbl 1103.58017
Capogna, Luca; Garofalo, Nicola
2006
A subelliptic analogue of Aronson-Serrin’s Harnack inequality. Zbl 1282.35204
Capogna, Luca; Citti, Giovanna; Rea, Garrett
2013
Mutual absolute continuity of harmonic and surface measures for Hörmander type operators. Zbl 1182.31012
Capogna, Luca; Garofalo, Nicola; Nhieu, Duy-Minh
2008
Convexity and horizontal second fundamental forms for hypersurfaces in Carnot groups. Zbl 1203.43007
Capogna, Luca; Pauls, Scott D.; Tyson, Jeremy T.
2010
An Aronsson type approach to extremal quasiconformal mappings. Zbl 1291.30145
Capogna, Luca; Raich, Andrew
2012
Regularity for subelliptic PDE through uniform estimates in multi-scale geometries. Zbl 1357.35092
Capogna, Luca; Citti, Giovanna
2016
Conformality and $$Q$$-harmonicity in sub-Riemannian manifolds. Zbl 1411.53024
Capogna, Luca; Citti, Giovanna; Le Donne, Enrico; Ottazzi, Alessandro
2019
A version of a theorem of Dahlberg for the subelliptic Dirichlet problem. Zbl 0934.22017
Capogna, Luca; Garofalo, Nicola; Nhieu, Duy-Minh
1998
Sub-Riemannian heat kernels and mean curvature flow of graphs. Zbl 1277.53062
Capogna, Luca; Citti, Giovanna; Senni Guidotti Magnani, Cosimo
2013
An isoperimetric inequality and the geometric Sobolev embedding for vector fields. Zbl 0861.46019
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1994
A note on the engulfing property and the $$\Gamma^{1+ \alpha}$$-regularity of convex functions in Carnot groups. Zbl 1109.35028
2006
Subelliptic mollifiers and a characterization of Rellich and Poincaré domains. Zbl 0811.35017
Capogna, L.; Danielli, D.; Garofalo, N.
1993
Harnack estimates for degenerate parabolic equations modeled on the subelliptic $$p$$-Laplacian. Zbl 1293.35147
Avelin, Benny; Capogna, Luca; Citti, Giovanna; Nyström, Kaj
2014
Regularity of mean curvature flow of graphs on Lie groups free up to step 2. Zbl 1323.53071
Capogna, Luca; Citti, Giovanna; Manfredini, Maria
2015
Uniform Gaussian bounds for subelliptic heat kernels and an application to the total variation flow of graphs over Carnot groups. Zbl 1275.53055
Capogna, Luca; Citti, Giovanna; Manfredini, Maria
2013
Uniform estimates of fundamental solution and regularity of vanishing viscosity solutions of mean curvature equations in $$H^n$$. Zbl 1140.35393
Capogna, Luca; Citti, Giovanna; Manfredini, Maria
2007
Embedding theorems and the Harnack inequality for solutions of nonlinear subelliptic equations. Zbl 0797.35063
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1993
Non tangentially accessible domains for Carnot-Carathéodory metrics and a Fatou type theorem. Zbl 0872.35030
Capogna, Luca; Garofalo, Nicola
1995
Strong comparison principle for $$p$$-harmonic functions in Carnot-Caratheodory spaces. Zbl 1398.35018
Capogna, Luca; Zhou, Xiaodan
2018
Conformal equivalence of visual metrics in pseudoconvex domains. Zbl 1457.32086
Capogna, Luca; Le Donne, Enrico
2021
$$L^\infty$$-extremal mappings in AMLE and Teichmüller theory. Zbl 1291.30144
Capogna, Luca
2014
Harmonic analysis and boundary value problems. Selected papers from the 25th University of Arkansas spring lecture series “Recent progress in the study of harmonic measure from a geometric and analytic point of view”, Fayetteville, AR, USA, March 2–4, 2000. Zbl 0970.00020
2001
Isoperimatric inequalities in the Heisenberg group and in the plane. Zbl 1140.35392
Capogna, Luca
2007
Conformal equivalence of visual metrics in pseudoconvex domains. Zbl 1457.32086
Capogna, Luca; Le Donne, Enrico
2021
Conformality and $$Q$$-harmonicity in sub-Riemannian manifolds. Zbl 1411.53024
Capogna, Luca; Citti, Giovanna; Le Donne, Enrico; Ottazzi, Alessandro
2019
Strong comparison principle for $$p$$-harmonic functions in Carnot-Caratheodory spaces. Zbl 1398.35018
Capogna, Luca; Zhou, Xiaodan
2018
Smoothness of subRiemannian isometries. Zbl 1370.53030
Capogna, Luca; Le Donne, Enrico
2016
Regularity for subelliptic PDE through uniform estimates in multi-scale geometries. Zbl 1357.35092
Capogna, Luca; Citti, Giovanna
2016
Regularity of mean curvature flow of graphs on Lie groups free up to step 2. Zbl 1323.53071
Capogna, Luca; Citti, Giovanna; Manfredini, Maria
2015
Harnack estimates for degenerate parabolic equations modeled on the subelliptic $$p$$-Laplacian. Zbl 1293.35147
Avelin, Benny; Capogna, Luca; Citti, Giovanna; Nyström, Kaj
2014
$$L^\infty$$-extremal mappings in AMLE and Teichmüller theory. Zbl 1291.30144
Capogna, Luca
2014
A subelliptic analogue of Aronson-Serrin’s Harnack inequality. Zbl 1282.35204
Capogna, Luca; Citti, Giovanna; Rea, Garrett
2013
Sub-Riemannian heat kernels and mean curvature flow of graphs. Zbl 1277.53062
Capogna, Luca; Citti, Giovanna; Senni Guidotti Magnani, Cosimo
2013
Uniform Gaussian bounds for subelliptic heat kernels and an application to the total variation flow of graphs over Carnot groups. Zbl 1275.53055
Capogna, Luca; Citti, Giovanna; Manfredini, Maria
2013
An Aronsson type approach to extremal quasiconformal mappings. Zbl 1291.30145
Capogna, Luca; Raich, Andrew
2012
Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups $${\mathbb{H}}^n$$, $$n>1$$. Zbl 1217.53060
Capogna, Luca; Citti, Giovanna; Manfredini, Maria
2010
Convexity and horizontal second fundamental forms for hypersurfaces in Carnot groups. Zbl 1203.43007
Capogna, Luca; Pauls, Scott D.; Tyson, Jeremy T.
2010
Regularity of non-characteristic minimal graphs in the Heisenberg group $$\mathbb{H}^{1}$$. Zbl 1182.35087
Capogna, Luca; Citti, Giovanna; Manfredini, Maria
2009
Generalized mean curvature flow in Carnot groups. Zbl 1179.35097
Capogna, Luca; Citti, Giovanna
2009
The mixed problem in $$L^{p}$$ for some two-dimensional Lipschitz domains. Zbl 1180.35203
Lanzani, Loredana; Capogna, Luca; Brown, Russell M.
2008
Mutual absolute continuity of harmonic and surface measures for Hörmander type operators. Zbl 1182.31012
Capogna, Luca; Garofalo, Nicola; Nhieu, Duy-Minh
2008
An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem. Zbl 1138.53003
Capogna, Luca; Danielli, Donatella; Pauls, Scott D.; Tyson, Jeremy T.
2007
Uniform estimates of fundamental solution and regularity of vanishing viscosity solutions of mean curvature equations in $$H^n$$. Zbl 1140.35393
Capogna, Luca; Citti, Giovanna; Manfredini, Maria
2007
Isoperimatric inequalities in the Heisenberg group and in the plane. Zbl 1140.35392
Capogna, Luca
2007
Conformality and $$Q$$-harmonicity in Carnot groups. Zbl 1106.30011
Capogna, Luca; Cowling, Michael
2006
Ahlfors type estimates for perimeter measures in Carnot-Carathéodory spaces. Zbl 1103.58017
Capogna, Luca; Garofalo, Nicola
2006
A note on the engulfing property and the $$\Gamma^{1+ \alpha}$$-regularity of convex functions in Carnot groups. Zbl 1109.35028
2006
The Aronsson-Euler equation for absolutely minimizing Lipschitz extensions with respect to Carnot-Carathéodory metrics. Zbl 1058.35067
Bieske, Thomas; Capogna, Luca
2005
Harmonic measure. Geometric and analytic points of view. Zbl 1074.31001
Capogna, Luca; Kenig, Carlos E.; Lanzani, Loredana
2005
Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type. Zbl 1064.49026
Capogna, Luca; Garofalo, Nicola
2003
Pointwise Schauder estimates for second order linear equations in Carnot groups. Zbl 1330.35056
Capogna, Luca; Han, Qing
2003
Properties of harmonic measures in the Dirichlet problem for nilpotent Lie groups of Heisenberg type. Zbl 0998.22001
Capogna, Luca; Garofalo, Nicola; Dyu-Minh Nhieu
2002
Legendrian energy minimizers. I: Heisenberg group target. Zbl 0997.58006
Capogna, Luca; Lin, Fang-Hua
2001
Harmonic analysis and boundary value problems. Selected papers from the 25th University of Arkansas spring lecture series “Recent progress in the study of harmonic measure from a geometric and analytic point of view”, Fayetteville, AR, USA, March 2–4, 2000. Zbl 0970.00020
2001
Examples of uniform and NTA domains in Carnot groups. Zbl 1017.30020
Capogna, Luca; Garofalo, Nicola; Nhieu, Duy-Minh
2000
Regularity for quasilinear equations and 1-quasiconformal maps in Carnot groups. Zbl 0927.35024
Capogna, Luca
1999
Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Carathéodory metrics. Zbl 0926.35043
Capogna, Luca; Garofalo, Nicola
1998
A version of a theorem of Dahlberg for the subelliptic Dirichlet problem. Zbl 0934.22017
Capogna, Luca; Garofalo, Nicola; Nhieu, Duy-Minh
1998
Regularity of quasi-linear equations in the Heisenberg group. Zbl 0886.22006
Capogna, Luca
1997
Subelliptic mollifiers and a basic pointwise estimate of Poincaré type. Zbl 0893.35023
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1997
Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations. Zbl 0878.35020
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1996
Uniform domains and quasiconformal mappings on the Heisenberg group. Zbl 0824.30011
Capogna, Luca; Tang, Puqi
1995
Non tangentially accessible domains for Carnot-Carathéodory metrics and a Fatou type theorem. Zbl 0872.35030
Capogna, Luca; Garofalo, Nicola
1995
The geometric Sobolev embedding for vector fields and the isoperimetric inequality. Zbl 0864.46018
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1994
An isoperimetric inequality and the geometric Sobolev embedding for vector fields. Zbl 0861.46019
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1994
An embedding theorem and the Harnack inequality for nonlinear subelliptic equations. Zbl 0802.35024
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1993
Subelliptic mollifiers and a characterization of Rellich and Poincaré domains. Zbl 0811.35017
Capogna, L.; Danielli, D.; Garofalo, N.
1993
Embedding theorems and the Harnack inequality for solutions of nonlinear subelliptic equations. Zbl 0797.35063
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1993
all top 5

### Cited by 568 Authors

 23 Garofalo, Nicola 22 Citti, Giovanna 19 Pinamonti, Andrea 17 Capogna, Luca 17 Franchi, Bruno 17 Tyson, Jeremy T. 17 Wang, Jialin 16 Manfredi, Juan J. 15 Ferrari, Fausto 14 Le Donne, Enrico 12 Liao, Dongni 12 Magnani, Valentino 12 Niu, Pengcheng 12 Ritoré, Manuel 11 Balogh, Zoltán M. 11 Monti, Roberto 11 Serra Cassano, Francesco 9 Domokos, András 9 Fässler, Katrin S. 9 Katzourakis, Nikolaos I. 9 Markina, Irina 9 Speight, Gareth 8 Lanconelli, Ermanno 8 Manfredini, Maria 8 Montefalcone, Francescopaolo 8 Rosales, César 8 Suragan, Durvudkhan 8 Uguzzoni, Francesco 8 Vittone, Davide 7 Bonfiglioli, Andrea 7 Danielli, Donatella 7 Franceschi, Valentina 7 Ottazzi, Alessandro 7 Warhurst, Ben 6 Baldi, Annalisa 6 Bieske, Thomas J. 6 Calogero, Andrea 6 Chousionis, Vasilis 6 Guliyev, Vagif Sabir 6 Morbidelli, Daniele 6 Nhieu, Duy-Minh 6 Ruzhansky, Michael V. 5 Adamowicz, Tomasz 5 Brown, Russell Murray 5 Cowling, Michael G. 5 Hajłasz, Piotr 5 Hurtado, Ana 5 Liu, Haiming 5 Mitrea, Irina 5 Nyström, Kaj 5 Pini, Rita 5 Platis, Ioannis Dimou 5 Pucci, Patrizia 5 Sarti, Alessandro 5 Serapioni, Raul Paolo 5 Yu, Zefeng 4 Ambrosio, Luigi 4 Bigolin, Francesco 4 Björn, Anders 4 Björn, Jana 4 Boscain, Ugo 4 Cheng, Jih-Hsin 4 D’Ambrosio, Lorenzo 4 Don, Sebastiano 4 Galli, Matteo 4 Herron, David A. 4 Hwang, Jenn-Fang 4 Jia, Gao 4 Liu, Qing 4 Lu, Guozhen 4 Lukyanenko, Anton 4 Montanari, Annamaria 4 Mukherjee, Shirsho 4 Ott, Katharine A. 4 Pansu, Pierre 4 Ricciotti, Diego 4 Sabitbek, Bolys 4 Shanmugalingam, Nageswari 4 Tarzia, Domingo Alberto 4 Vecchi, Eugenio 4 Vodop’yanov, Sergeĭ Konstantinovich 4 Wang, Yong 4 Wu, Qingyan 4 Xie, Xiangdong 4 Yang, Xiaoping 3 Avelin, Benny 3 Biggs, Rory 3 Bramanti, Marco 3 Brandolini, Luca 3 Chousionis, Vasileios 3 Cianchi, Andrea 3 Dou, Jingbo 3 Eroglu, Ahmet 3 Gariboldi, Claudia M. 3 Giovannardi, Gianmarco 3 Górka, Przemysław 3 Greshnov, Aleksandr Valer’evich 3 Guan, Jianyun 3 Guo, Changyu 3 Isangulova, D. V. ...and 468 more Authors
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### Cited in 172 Serials

 40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 35 Calculus of Variations and Partial Differential Equations 29 The Journal of Geometric Analysis 22 Advances in Mathematics 17 Journal of Mathematical Analysis and Applications 17 Journal of Differential Equations 16 Proceedings of the American Mathematical Society 15 Transactions of the American Mathematical Society 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Mathematische Annalen 13 Journal of Functional Analysis 13 Siberian Mathematical Journal 13 Potential Analysis 12 Analysis and Geometry in Metric Spaces 10 Mathematische Zeitschrift 10 Annales Academiae Scientiarum Fennicae. Mathematica 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Conformal Geometry and Dynamics 8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 7 Journal d’Analyse Mathématique 7 Manuscripta Mathematica 7 Communications in Contemporary Mathematics 6 Revista Matemática Iberoamericana 6 Acta Mathematica Sinica. English Series 6 Analysis and Mathematical Physics 5 Communications in Partial Differential Equations 5 NoDEA. Nonlinear Differential Equations and Applications 5 Advances in Nonlinear Analysis 5 Mathematics in Engineering 4 Israel Journal of Mathematics 4 Mathematical Notes 4 Geometriae Dedicata 4 Mathematische Nachrichten 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Abstract and Applied Analysis 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Annales de l’Institut Fourier 3 Illinois Journal of Mathematics 3 Memoirs of the American Mathematical Society 3 Annals of Global Analysis and Geometry 3 Forum Mathematicum 3 Differential Geometry and its Applications 3 Journal of Mathematical Imaging and Vision 3 Applied Mathematics. Series B (English Edition) 3 Electronic Journal of Differential Equations (EJDE) 3 St. Petersburg Mathematical Journal 3 Discrete and Continuous Dynamical Systems 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal of Inequalities and Applications 3 Journal of Dynamical and Control Systems 3 Communications on Pure and Applied Analysis 3 Boundary Value Problems 3 Advances in Calculus of Variations 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Function Spaces 2 Applicable Analysis 2 Arkiv för Matematik 2 Applied Mathematics and Computation 2 Bulletin of the London Mathematical Society 2 Duke Mathematical Journal 2 Fundamenta Mathematicae 2 Journal of Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Michigan Mathematical Journal 2 Monatshefte für Mathematik 2 Tôhoku Mathematical Journal. Second Series 2 Zeitschrift für Analysis und ihre Anwendungen 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Advances in Differential Equations 2 Electronic Research Announcements of the American Mathematical Society 2 Doklady Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Journal of the Australian Mathematical Society 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Advances in Difference Equations 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Proceedings of the Steklov Institute of Mathematics 2 Complex Analysis and Operator Theory 2 Journal of Mathematical Inequalities 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 Science China. Mathematics 2 Forum of Mathematics, Sigma 2 AIMS Mathematics 2 Annales Fennici Mathematici 1 Analysis Mathematica 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg ...and 72 more Serials
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### Cited in 42 Fields

 313 Partial differential equations (35-XX) 208 Differential geometry (53-XX) 101 Topological groups, Lie groups (22-XX) 93 Calculus of variations and optimal control; optimization (49-XX) 63 Functional analysis (46-XX) 58 Abstract harmonic analysis (43-XX) 56 Functions of a complex variable (30-XX) 47 Real functions (26-XX) 47 Global analysis, analysis on manifolds (58-XX) 45 Measure and integration (28-XX) 44 Potential theory (31-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 24 Several complex variables and analytic spaces (32-XX) 19 Operator theory (47-XX) 9 Convex and discrete geometry (52-XX) 9 General topology (54-XX) 7 Group theory and generalizations (20-XX) 7 Geometry (51-XX) 6 Manifolds and cell complexes (57-XX) 6 Probability theory and stochastic processes (60-XX) 6 Numerical analysis (65-XX) 5 Algebraic geometry (14-XX) 5 Nonassociative rings and algebras (17-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Algebraic topology (55-XX) 5 Computer science (68-XX) 5 Biology and other natural sciences (92-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)