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Zhong, Xiao

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 Author ID: zhong.xiao Published as: Zhong, X.; Zhong, Xiao Homepage: http://users.jyu.fi/~zhong/ External Links: MGP · Wikidata
 Documents Indexed: 42 Publications since 1996, including 1 Book
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Co-Authors

 2 single-authored 6 Fuchs, Martin 5 Bildhauer, Michael 5 Faraco, Daniel 5 Kilpeläinen, Tero 5 Koskela, Pekka 4 Onninen, Jani 2 Cao, Daomin 2 Mingione, Giuseppe 2 Shanmugalingam, Nageswari 2 Zatorska-Goldstein, Anna 1 Aikawa, Hiroaki 1 Clop, Albert 1 Hajłasz, Piotr 1 Hencl, Stanislav 1 Kauhanen, Janne 1 Keith, Stephen 1 Li, Gongbao 1 Malý, Jan 1 Mateu, Joan 1 Müller, Jan-Steffen 1 Orobitg, Joan 1 Rajala, Kai 1 Salo, Mikko 1 Shahgholian, Henrik 1 Strzelecki, Paweł
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Serials

 3 Proceedings of the American Mathematical Society 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Advances in Mathematics 2 Manuscripta Mathematica 2 St. Petersburg Mathematical Journal 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Nonlinear Analysis. Theory, Methods & Applications 1 Archive for Rational Mechanics and Analysis 1 Arkiv för Matematik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Functional Analysis 1 Michigan Mathematical Journal 1 Ricerche di Matematica 1 Revista Matemática Iberoamericana 1 Publicacions Matemàtiques 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 Annals of Mathematics. Second Series 1 Annales Academiæ Scientiarum Fennicæ. Mathematica. Dissertationes 1 Bollettino dell’Unione Matematica Italiana. Series IX
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Fields

 20 Partial differential equations (35-XX) 10 Functions of a complex variable (30-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Real functions (26-XX) 3 Potential theory (31-XX) 3 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Information and communication theory, circuits (94-XX)

Citations contained in zbMATH Open

36 Publications have been cited 489 times in 433 Documents Cited by Year
The Poincaré inequality is an open ended condition. Zbl 1180.46025
Keith, Stephen; Zhong, Xiao
2008
Gradient regularity for elliptic equations in the Heisenberg group. Zbl 1175.35033
Mingione, Giuseppe; Zatorska-Goldstein, Anna; Zhong, Xiao
2009
Boundary Harnack principle for $$p$$-harmonic functions in smooth Euclidean domains. Zbl 1121.35060
Aikawa, Hiroaki; Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao
2007
Removable sets for continuous solutions of quasilinear elliptic equations. Zbl 1027.35032
Kilpeläinen, Tero; Zhong, Xiao
2002
Mappings of finite distortion: sharp Orlicz-conditions. Zbl 1059.30017
Kauhanen, Janne; Koskela, Pekka; Malý, Jan; Onninen, Jani; Zhong, Xiao
2003
Hardy’s inequality and the boundary size. Zbl 1018.26008
Koskela, Pekka; Zhong, Xiao
2003
Mappings of finite distortion: the degree of regularity. Zbl 1075.30012
Faraco, Daniel; Koskela, Pekka; Zhong, Xiao
2005
A lemma on the higher integrability of functions with applications to the regularity theory of two-dimensional generalized Newtonian fluids. Zbl 1116.49018
Bildhauer, Michael; Fuchs, Martin; Zhong, Xiao
2005
Beltrami equations with coefficient in the Sobolev space $$W^{1,p}$$. Zbl 1189.30053
Clop, A.; Faraco, D.; Mateu, J.; Orobitg, J.; Zhong, X.
2009
An inverse problem for the $$p$$-Laplacian: boundary determination. Zbl 1251.35191
Salo, Mikko; Zhong, Xiao
2012
Growth of entire $${\mathcal A}$$-subharmonic functions. Zbl 1018.35027
Kilpeläinen, Tero; Zhong, Xiao
2003
On some nonlinear elliptic PDEs with Sobolev-Hardy critical exponents and a Li-Lin open problem. Zbl 1327.35089
Cerami, G.; Zhong, X.; Zou, W.
2015
A regularity theory for scalar local minimizers of splitting-type variational integrals. Zbl 1150.49015
Bildhauer, Michael; Fuchs, Martin; Zhong, Xiao
2007
Minimal assumptions for the integrability of the Jacobian. Zbl 1096.26005
Zhong, Xiao; Koskela, Pekka
2002
Quasiconvex functions and Hessian equations. Zbl 1047.49017
Faraco, Daniel; Zhong, Xiao
2003
On nonhomogeneous quasilinear elliptic equations. Zbl 0911.35048
Zhong, Xiao
1998
Geometric rigidity of conformal matrices. Zbl 1170.30308
Zhong, Xiao; Farco, Daniel
2005
Multiplicity of positive solutions for semilinear elliptic equations involving the critical Sobolev exponents. Zbl 0879.35055
Cao, Daomin; Zhong, Xiao
1997
Growth estimates through scaling for quasilinear partial differential equations. Zbl 1192.35070
Kilpeläinen, Tero; Shahgholian, Henrik; Zhong, Xiao
2007
A note on mappings of finite distortion: the sharp modules of continuity. Zbl 1086.30025
Onninen, Jani; Zhong, Xiao
2005
A perturbed nonlinear elliptic PDE with two Hardy-Sobolev critical exponents. Zbl 1343.35078
Zhong, X.; Zou, W.
2016
Continuity of solutions of linear, degenerate elliptic equations. Zbl 1150.35055
Onninen, Jani; Zhong, Xiao
2007
Bonnesen’s inequality for John domains in $$\mathbb R^n$$. Zbl 1271.52006
Rajala, Kai; Zhong, Xiao
2012
A note on a Liouville type result of Gilbarg and Weinberger for the stationary Navier-Stokes equations in 2D. Zbl 1291.35218
Fuchs, M.; Zhong, X.
2011
A new approach to interior regularity of elliptic systems with quadratic Jacobian structure in dimension two. Zbl 1157.35041
Hajłasz, Piotr; Strzelecki, Paweł; Zhong, Xiao
2008
On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids. Zbl 1129.35061
Bildhauer, M.; Fuchs, M.; Zhong, X.
2007
Mappings of finite distortion: reverse inequalities for the Jacobian. Zbl 1126.30014
Hencl, Stanislav; Koskela, Pekka; Zhong, Xiao
2007
A short proof of the self-improving regularity of quasiregular mappings. Zbl 1078.30013
Faraco, Daniel; Zhong, Xiao
2006
Mappings of finite distortion: a new proof for discreteness and openness. Zbl 1175.30021
Onninen, Jani; Zhong, Xiao
2008
Discontinuous solutions of linear, degenerate elliptic equations. Zbl 1147.35046
Zhong, Xiao
2008
Variational integrals with a wide range of anisotropy. Zbl 1284.49049
Bildhauer, M.; Fuchs, M.; Zhong, X.
2007
Maximal function estimates and self-improvement results for Poincaré inequalities. Zbl 1409.42015
Kinnunen, Juha; Lehrbäck, Juha; Vähäkangas, Antti V.; Zhong, Xiao
2019
On the Euler-Lagrange equation of a functional by Pólya and Szegö. Zbl 1346.49069
Fusco, N.; Zhong, X.
2016
A sharp stability result for the Gauss mean value formula. Zbl 07308605
Cupini, Giovanni; Lanconelli, Ermanno; Fusco, Nicola; Zhong, Xiao
2020
Quantitative gradient estimates for harmonic maps into singular spaces. Zbl 1433.58018
Zhang, Hui-Chun; Zhong, Xiao; Zhu, Xi-Ping
2019
Maximal regularity via reverse Hölder inequalities for elliptic systems of $$n$$-Laplace type involving measures. Zbl 1158.35355
Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao
2008
A sharp stability result for the Gauss mean value formula. Zbl 07308605
Cupini, Giovanni; Lanconelli, Ermanno; Fusco, Nicola; Zhong, Xiao
2020
Maximal function estimates and self-improvement results for Poincaré inequalities. Zbl 1409.42015
Kinnunen, Juha; Lehrbäck, Juha; Vähäkangas, Antti V.; Zhong, Xiao
2019
Quantitative gradient estimates for harmonic maps into singular spaces. Zbl 1433.58018
Zhang, Hui-Chun; Zhong, Xiao; Zhu, Xi-Ping
2019
A perturbed nonlinear elliptic PDE with two Hardy-Sobolev critical exponents. Zbl 1343.35078
Zhong, X.; Zou, W.
2016
On the Euler-Lagrange equation of a functional by Pólya and Szegö. Zbl 1346.49069
Fusco, N.; Zhong, X.
2016
On some nonlinear elliptic PDEs with Sobolev-Hardy critical exponents and a Li-Lin open problem. Zbl 1327.35089
Cerami, G.; Zhong, X.; Zou, W.
2015
An inverse problem for the $$p$$-Laplacian: boundary determination. Zbl 1251.35191
Salo, Mikko; Zhong, Xiao
2012
Bonnesen’s inequality for John domains in $$\mathbb R^n$$. Zbl 1271.52006
Rajala, Kai; Zhong, Xiao
2012
A note on a Liouville type result of Gilbarg and Weinberger for the stationary Navier-Stokes equations in 2D. Zbl 1291.35218
Fuchs, M.; Zhong, X.
2011
Gradient regularity for elliptic equations in the Heisenberg group. Zbl 1175.35033
Mingione, Giuseppe; Zatorska-Goldstein, Anna; Zhong, Xiao
2009
Beltrami equations with coefficient in the Sobolev space $$W^{1,p}$$. Zbl 1189.30053
Clop, A.; Faraco, D.; Mateu, J.; Orobitg, J.; Zhong, X.
2009
The Poincaré inequality is an open ended condition. Zbl 1180.46025
Keith, Stephen; Zhong, Xiao
2008
A new approach to interior regularity of elliptic systems with quadratic Jacobian structure in dimension two. Zbl 1157.35041
Hajłasz, Piotr; Strzelecki, Paweł; Zhong, Xiao
2008
Mappings of finite distortion: a new proof for discreteness and openness. Zbl 1175.30021
Onninen, Jani; Zhong, Xiao
2008
Discontinuous solutions of linear, degenerate elliptic equations. Zbl 1147.35046
Zhong, Xiao
2008
Maximal regularity via reverse Hölder inequalities for elliptic systems of $$n$$-Laplace type involving measures. Zbl 1158.35355
Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao
2008
Boundary Harnack principle for $$p$$-harmonic functions in smooth Euclidean domains. Zbl 1121.35060
Aikawa, Hiroaki; Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao
2007
A regularity theory for scalar local minimizers of splitting-type variational integrals. Zbl 1150.49015
Bildhauer, Michael; Fuchs, Martin; Zhong, Xiao
2007
Growth estimates through scaling for quasilinear partial differential equations. Zbl 1192.35070
Kilpeläinen, Tero; Shahgholian, Henrik; Zhong, Xiao
2007
Continuity of solutions of linear, degenerate elliptic equations. Zbl 1150.35055
Onninen, Jani; Zhong, Xiao
2007
On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids. Zbl 1129.35061
Bildhauer, M.; Fuchs, M.; Zhong, X.
2007
Mappings of finite distortion: reverse inequalities for the Jacobian. Zbl 1126.30014
Hencl, Stanislav; Koskela, Pekka; Zhong, Xiao
2007
Variational integrals with a wide range of anisotropy. Zbl 1284.49049
Bildhauer, M.; Fuchs, M.; Zhong, X.
2007
A short proof of the self-improving regularity of quasiregular mappings. Zbl 1078.30013
Faraco, Daniel; Zhong, Xiao
2006
Mappings of finite distortion: the degree of regularity. Zbl 1075.30012
Faraco, Daniel; Koskela, Pekka; Zhong, Xiao
2005
A lemma on the higher integrability of functions with applications to the regularity theory of two-dimensional generalized Newtonian fluids. Zbl 1116.49018
Bildhauer, Michael; Fuchs, Martin; Zhong, Xiao
2005
Geometric rigidity of conformal matrices. Zbl 1170.30308
Zhong, Xiao; Farco, Daniel
2005
A note on mappings of finite distortion: the sharp modules of continuity. Zbl 1086.30025
Onninen, Jani; Zhong, Xiao
2005
Mappings of finite distortion: sharp Orlicz-conditions. Zbl 1059.30017
Kauhanen, Janne; Koskela, Pekka; Malý, Jan; Onninen, Jani; Zhong, Xiao
2003
Hardy’s inequality and the boundary size. Zbl 1018.26008
Koskela, Pekka; Zhong, Xiao
2003
Growth of entire $${\mathcal A}$$-subharmonic functions. Zbl 1018.35027
Kilpeläinen, Tero; Zhong, Xiao
2003
Quasiconvex functions and Hessian equations. Zbl 1047.49017
Faraco, Daniel; Zhong, Xiao
2003
Removable sets for continuous solutions of quasilinear elliptic equations. Zbl 1027.35032
Kilpeläinen, Tero; Zhong, Xiao
2002
Minimal assumptions for the integrability of the Jacobian. Zbl 1096.26005
Zhong, Xiao; Koskela, Pekka
2002
On nonhomogeneous quasilinear elliptic equations. Zbl 0911.35048
Zhong, Xiao
1998
Multiplicity of positive solutions for semilinear elliptic equations involving the critical Sobolev exponents. Zbl 0879.35055
Cao, Daomin; Zhong, Xiao
1997
all top 5

Cited by 493 Authors

 25 Koskela, Pekka 14 Fuchs, Martin 14 Lehrbäck, Juha 13 Wang, Jialin 12 Zhong, Xiao 11 Björn, Jana 10 Björn, Anders 10 Liao, Dongni 9 Bildhauer, Michael 9 Clop, Albert 8 Nyström, Kaj 8 Tuominen, Heli 7 Badr, Nadine 7 Giova, Raffaella 7 Hencl, Stanislav 7 Onninen, Jani 7 Pucci, Patrizia 7 Shanmugalingam, Nageswari 7 Vähäkangas, Antti V. 7 Yang, Dachun 6 Lewis, John L. 6 Passarelli di Napoli, Antonia 6 Rajala, Kai 6 Zürcher, Thomas 5 Bernicot, Frédéric 5 Breit, Dominic 5 Hirata, Kentaro 5 Jiang, Renjin 5 Manfredi, Juan J. 5 Mingione, Giuseppe 5 Parviainen, Mikko 5 Pokrovskii, Andrei Vladimirovich 4 Brander, Tommi 4 Carozza, Menita 4 Cianchi, Andrea 4 Cruz-Uribe, David Vincente 4 Eriksson-Bique, Sylvester 4 Gadjiev, Tahir S. 4 Hajłasz, Piotr 4 Kar, Manas 4 Karak, Nijjwal 4 Kinnunen, Juha 4 Kuusi, Tuomo 4 Lassas, Matti 4 Lundström, Niklas L. P. 4 Niu, Pengcheng 4 Orobitg, Joan 4 Russ, Emmanuel 4 Song, Renming 4 Vogel, Andrew L. 4 Yu, Zefeng 4 Zapadinskaya, Aleksandra 3 Akman, Murat 3 Avelin, Benny 3 Baisón, Antonio L. 3 Bogdan, Krzysztof 3 Bordoni, Sara 3 Chen, Shuhong 3 Faraco, Daniel 3 Farina, Alberto 3 Frey, Dorothee 3 Garofalo, Nicola 3 Guo, Changyu 3 Guo, Zhenyu V. 3 Heinonen, Juha 3 Hsu, TsingSan 3 Kajikiya, Ryuji 3 Kim, Panki 3 Korte, Riikka 3 Lorent, Andrew 3 Lyaghfouri, Abdeslem 3 Malý, Jan 3 Masson, Mathias 3 Molica Bisci, Giovanni 3 Montoro, Luigi 3 Nguyen Cong Phuc 3 Prats, Martí 3 Ryznar, Michał 3 Saksman, Eero 3 Salo, Mikko 3 Sciunzi, Berardino 3 Squassina, Marco 3 Wang, Wendong 3 Wildrick, Kevin 3 Yang, Qiang 3 Zhang, Kewei 3 Zhou, Yuan 2 Adamowicz, Tomasz 2 Adimurthi, Karthik 2 Aikawa, Hiroaki 2 Brasco, Lorenzo 2 Byun, Sun-Sig 2 Conti, Sergio 2 Coulhon, Thierry 2 Cupini, Giovanni 2 Di Gironimo, Patrizia 2 Domokos, András 2 D’Onofrio, Luigi 2 Durand-Cartagena, Estibalitz 2 Filippucci, Roberta ...and 393 more Authors
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Cited in 134 Serials

 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Journal of Mathematical Analysis and Applications 19 Journal of Functional Analysis 16 Potential Analysis 16 Calculus of Variations and Partial Differential Equations 15 Proceedings of the American Mathematical Society 14 Manuscripta Mathematica 12 Journal of Differential Equations 12 Mathematische Annalen 12 The Journal of Geometric Analysis 10 Journal d’Analyse Mathématique 10 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Archive for Rational Mechanics and Analysis 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Journal of Mathematical Sciences (New York) 7 Mathematische Zeitschrift 7 Revista Matemática Iberoamericana 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Journal of Inequalities and Applications 5 Advances in Mathematics 5 Transactions of the American Mathematical Society 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Abstract and Applied Analysis 5 Journal of Mathematical Fluid Mechanics 5 Communications in Contemporary Mathematics 5 Advances in Calculus of Variations 4 Journal of the Mathematical Society of Japan 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Boundary Value Problems 3 Inverse Problems 3 Arkiv för Matematik 3 Applied Mathematics Letters 3 Forum Mathematicum 3 NoDEA. Nonlinear Differential Equations and Applications 3 Conformal Geometry and Dynamics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Analysis and Geometry in Metric Spaces 3 Advances in Nonlinear Analysis 2 Nonlinearity 2 Ukrainian Mathematical Journal 2 Archiv der Mathematik 2 Collectanea Mathematica 2 Illinois Journal of Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Nachrichten 2 Michigan Mathematical Journal 2 Results in Mathematics 2 Ricerche di Matematica 2 Zeitschrift für Analysis und ihre Anwendungen 2 Publicacions Matemàtiques 2 Applications of Mathematics 2 Geometric and Functional Analysis. GAFA 2 Bulletin des Sciences Mathématiques 2 Doklady Mathematics 2 Differential Equations 2 Communications on Pure and Applied Analysis 2 Computational Methods and Function Theory 2 Complex Variables and Elliptic Equations 2 Kyoto Journal of Mathematics 2 ISRN Mathematical Analysis 2 Analysis and Mathematical Physics 2 Journal of Function Spaces 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Functional Analysis and its Applications 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Quaestiones Mathematicae 1 Siberian Mathematical Journal 1 Transactions of the Moscow Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Acta Mathematica Hungarica 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Differential Geometry and its Applications 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 St. Petersburg Mathematical Journal 1 Advances in Applied Clifford Algebras 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications ...and 34 more Serials
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Cited in 37 Fields

 248 Partial differential equations (35-XX) 96 Functional analysis (46-XX) 91 Functions of a complex variable (30-XX) 67 Potential theory (31-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 47 Real functions (26-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 23 Measure and integration (28-XX) 22 Global analysis, analysis on manifolds (58-XX) 17 Differential geometry (53-XX) 15 Operator theory (47-XX) 14 Fluid mechanics (76-XX) 12 Probability theory and stochastic processes (60-XX) 9 Mechanics of deformable solids (74-XX) 6 Abstract harmonic analysis (43-XX) 5 General topology (54-XX) 4 Topological groups, Lie groups (22-XX) 4 Convex and discrete geometry (52-XX) 4 Optics, electromagnetic theory (78-XX) 3 Difference and functional equations (39-XX) 3 Numerical analysis (65-XX) 3 Information and communication theory, circuits (94-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Relativity and gravitational theory (83-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

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