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## Gilbarg, David

Compute Distance To:
 Author ID: gilbarg.david Published as: Gilbarg, D.; Gilbarg, David External Links: MGP · Wikidata · GND
 Documents Indexed: 29 Publications since 1942, including 5 Books
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#### Co-Authors

 13 single-authored 4 Trudinger, Neil Sidney 3 Serrin, James 3 Weinberger, Hans Felix 2 Finn, Robert S. 1 Bergman, Stefan 1 Hörmander, Lars Valter 1 Loewner, Charles 1 Neyman, Jerzy 1 Paolucci, D. 1 Schiffer, Menahem Max 1 Shiffman, Max 1 Solomon, Herbert 1 Szegő, Gábor
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#### Serials

 6 Journal of Rational Mechanics and Analysis 2 American Journal of Mathematics 2 Journal of Mathematics and Physics 2 Grundlehren der Mathematischen Wissenschaften 1 Archive for Rational Mechanics and Analysis 1 Journal d’Analyse Mathématique 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Duke Mathematical Journal 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Proceedings of the National Academy of Sciences of the United States of America 1 Classics in Mathematics

#### Fields

 8 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 3 Operator theory (47-XX) 1 Functional analysis (46-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 10,695 times in 8,945 Documents Cited by Year
Elliptic partial differential equations of second order. 2nd ed. Zbl 0562.35001
Gilbarg, David; Trudinger, Neil S.
1983
Elliptic partial differential equations of second order. Reprint of the 1998 ed. Zbl 1042.35002
Gilbarg, David; Trudinger, Neil S.
2001
Elliptic partial differential equations of second order. Zbl 0361.35003
Gilbarg, David; Trudinger, Neil S.
1977
Elliptic partial differential equations of second order. (Ehllipticheskie differentsial’nye uravneniya s chastnymi proizvodnymi vtorogo poryadka). Transl. from the English by L. P. Kuptsov. Transl. ed. by A. K. Gushchin. Zbl 0691.35001
Gilbarg, D.; Trudinger, N. S.
1989
On isolated singularities of solutions of second order elliptic differential equations. Zbl 0071.09701
Gilbarg, D.; Serrin, James
1956
Intermediate Schauder estimates. Zbl 0454.35022
Gilbarg, David; Hörmander, Lars
1980
The existence and limit behavior of the one-dimensional shock layer. Zbl 0044.21504
Gilbarg, David
1951
Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral. Zbl 0381.35067
Gilbarg, D.; Weinberger, H. F.
1978
Three-dimensional subsonic flows, and asymptotic estimates for elliptic partial differential equations. Zbl 0078.40001
Finn, Robert; Gilbarg, David
1957
Jets and cavities. Zbl 1339.76003
Gilbarg, David
1960
The structure of shock waves in the continuum theory of fluids. Zbl 0051.18102
Gilbarg, D.; Paolucci, D.
1953
Asymptotic properties of Leray’s solution of the stationary two- dimensional Navier-Stokes equations. Zbl 0304.35071
Gilbarg, D.; Weinberger, H. F.
1974
On bodies achieving extreme values of the critical Mach number. I. Zbl 0055.18801
Gilbarg, D.; Shiffman, M.
1954
The Phragmén-Lindelöf theorem for elliptic partial differential equations. Zbl 0046.10403
Gilbarg, David
1952
Comparison methods in the theory of subsonic flows. Zbl 0053.31503
Gilbarg, David
1953
Boundary value problems for nonlinear elliptic equations in n variables. Zbl 0121.08401
Gilbarg, D.
1963
Uniqueness of axially symmetric subsonic flow past a finite body. Zbl 0064.19911
Gilbarg, David; Serrin, James
1955
Free boundaries and jets in the theory of cavitation. Zbl 0040.40303
Gilbarg, David; Serrin, James
1950
Uniqueness of axially symmetric flows with free boundaries. Zbl 0049.41603
Gilbarg, David
1952
Uniqueness and the force formulas for plane subsonic flows. Zbl 0086.20303
Finn, Robert; Gilbarg, David
1958
Some hydrodynamic applications of function theoretic properties of elliptic equations. Zbl 0095.20804
Gilbarg, D.
1959
Unsteady flows with free boundaries. Zbl 0046.10501
Gilbarg, David
1952
A generalization of the Schwarz-Christoffel transformation. Zbl 0038.05203
Gilbarg, D.
1949
On the flow patterns common to certain classes of plane fluid motions. Zbl 0036.13403
Gilbarg, D.
1947
Asymptotic properties of Leray’s solutions of the stationary two- dimensional Navier-Stokes equations. Zbl 0299.35081
Gilbarg, D.; Weinberger, H. F.
1974
The structure of the group of $${\mathfrak P}$$-adic 1-units. Zbl 0061.06005
Gilbarg, David
1942
Some local properties of elliptic equations. Zbl 0178.13001
Gilbarg, D.
1961
Elliptic partial differential equations of second order. Reprint of the 1998 ed. Zbl 1042.35002
Gilbarg, David; Trudinger, Neil S.
2001
Elliptic partial differential equations of second order. (Ehllipticheskie differentsial’nye uravneniya s chastnymi proizvodnymi vtorogo poryadka). Transl. from the English by L. P. Kuptsov. Transl. ed. by A. K. Gushchin. Zbl 0691.35001
Gilbarg, D.; Trudinger, N. S.
1989
Elliptic partial differential equations of second order. 2nd ed. Zbl 0562.35001
Gilbarg, David; Trudinger, Neil S.
1983
Intermediate Schauder estimates. Zbl 0454.35022
Gilbarg, David; Hörmander, Lars
1980
Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral. Zbl 0381.35067
Gilbarg, D.; Weinberger, H. F.
1978
Elliptic partial differential equations of second order. Zbl 0361.35003
Gilbarg, David; Trudinger, Neil S.
1977
Asymptotic properties of Leray’s solution of the stationary two- dimensional Navier-Stokes equations. Zbl 0304.35071
Gilbarg, D.; Weinberger, H. F.
1974
Asymptotic properties of Leray’s solutions of the stationary two- dimensional Navier-Stokes equations. Zbl 0299.35081
Gilbarg, D.; Weinberger, H. F.
1974
Boundary value problems for nonlinear elliptic equations in n variables. Zbl 0121.08401
Gilbarg, D.
1963
Some local properties of elliptic equations. Zbl 0178.13001
Gilbarg, D.
1961
Jets and cavities. Zbl 1339.76003
Gilbarg, David
1960
Some hydrodynamic applications of function theoretic properties of elliptic equations. Zbl 0095.20804
Gilbarg, D.
1959
Uniqueness and the force formulas for plane subsonic flows. Zbl 0086.20303
Finn, Robert; Gilbarg, David
1958
Three-dimensional subsonic flows, and asymptotic estimates for elliptic partial differential equations. Zbl 0078.40001
Finn, Robert; Gilbarg, David
1957
On isolated singularities of solutions of second order elliptic differential equations. Zbl 0071.09701
Gilbarg, D.; Serrin, James
1956
Uniqueness of axially symmetric subsonic flow past a finite body. Zbl 0064.19911
Gilbarg, David; Serrin, James
1955
On bodies achieving extreme values of the critical Mach number. I. Zbl 0055.18801
Gilbarg, D.; Shiffman, M.
1954
The structure of shock waves in the continuum theory of fluids. Zbl 0051.18102
Gilbarg, D.; Paolucci, D.
1953
Comparison methods in the theory of subsonic flows. Zbl 0053.31503
Gilbarg, David
1953
The Phragmén-Lindelöf theorem for elliptic partial differential equations. Zbl 0046.10403
Gilbarg, David
1952
Uniqueness of axially symmetric flows with free boundaries. Zbl 0049.41603
Gilbarg, David
1952
Unsteady flows with free boundaries. Zbl 0046.10501
Gilbarg, David
1952
The existence and limit behavior of the one-dimensional shock layer. Zbl 0044.21504
Gilbarg, David
1951
Free boundaries and jets in the theory of cavitation. Zbl 0040.40303
Gilbarg, David; Serrin, James
1950
A generalization of the Schwarz-Christoffel transformation. Zbl 0038.05203
Gilbarg, D.
1949
On the flow patterns common to certain classes of plane fluid motions. Zbl 0036.13403
Gilbarg, D.
1947
The structure of the group of $${\mathfrak P}$$-adic 1-units. Zbl 0061.06005
Gilbarg, David
1942
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#### Cited by 8,030 Authors

 45 Trudinger, Neil Sidney 41 Lieberman, Gary M. 36 Wei, Juncheng 34 García-Melián, Jorge 30 Byeon, Jaeyoung 30 Zhang, Zhijun 29 Dancer, Edward Norman 27 Chipot, Michel 27 Wang, Zhi-Qiang 26 Lou, Yuan 25 Quaas, Alexander 25 Wang, Lihe 24 Caffarelli, Luis Ángel 24 Véron, Laurent 23 Chen, Gui-Qiang G. 23 Du, Lili 22 Du, Yihong 22 Lanza de Cristoforis, Massimo 22 Wang, Xu-Jia 21 Musolino, Paolo 21 Rossi, Julio Daniel 20 Chabrowski, Jan H. 20 Friedman, Avner 20 Li, Dongsheng 20 Sweers, Guido H. 20 Valdinoci, Enrico 20 Xin, Zhouping 19 Anderson, Michael T. 19 Feng, Xiaobing 19 Fuchs, Martin 19 López Camino, Rafael 19 Ni, Wei-Ming 18 Choi, Yung-Sze 18 Rădulescu, Vicenţiu D. 18 Rigoli, Marco 18 Sirakov, Boyan Slavchev 18 Vitolo, Antonio 17 Emamizadeh, Behrouz 17 Escher, Joachim 17 Feldman, Mikhail 17 Guo, Zongming 17 Porru, Giovanni 17 Yi, Fahuai 16 Chen, Shuxing 16 Do Ó, João M. Bezerra 16 Kim, Eun Heui 16 Neilan, Michael 16 Novaga, Matteo 16 Shahgholian, Henrik 16 Xu, Xiangsheng 16 Yeh, Li-Ming 15 Alessandrini, Giovanni 15 Carl, Siegfried 15 Dávila, Juan 15 Drábek, Pavel 15 Kim, KyeongHun 15 Krutitskii, Pavel A. 15 Nochetto, Ricardo Horacio 15 Pan, Xingbin 15 Sabina-de-Lis, José Claudio 15 Urbas, John Ivan Eugene 15 Winkler, Michael 14 Allegretto, Walter 14 Dalla Riva, Matteo 14 Dzhokhadze, Otar Mikhajlovich 14 Lee, Ki-Ahm 14 Li, YanYan 14 Lin, Chang-Shou 14 Lions, Pierre-Louis 14 Liu, Jiakun 14 López-Gómez, Julián 14 Palagachev, Dian K. 14 Papageorgiou, Nikolaos S. 14 Sciunzi, Berardino 14 Vessella, Sergio 14 Yin, Huicheng 13 Ammari, Habib M. 13 Cao, Daomin 13 Cheng, Jianfeng 13 Deng, Yinbin 13 Diaz Diaz, Jesus Ildefonso 13 Dong, Hongjie 13 Ghergu, Marius 13 Guo, Yujin 13 Kim, Seick 13 Kostin, Andrey B. 13 Ma, Yichen 13 Magnanini, Rolando 13 Matioc, Bogdan-Vasile 13 Muratov, Cyrill B. 13 Peng, Rui 13 Pistoia, Angela 13 Sakaguchi, Shigeru 13 Suárez, Antonio 13 Vazquez, Juan Luis 13 Zhou, Huan-Song 13 Zou, Wenming 12 Barles, Guy 12 Berestycki, Henri 12 Chen, Xiuxiong ...and 7,930 more Authors
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#### Cited in 532 Serials

 628 Journal of Differential Equations 524 Journal of Mathematical Analysis and Applications 409 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 294 Calculus of Variations and Partial Differential Equations 270 Archive for Rational Mechanics and Analysis 244 Communications in Partial Differential Equations 216 Transactions of the American Mathematical Society 190 Journal of Functional Analysis 160 Nonlinear Analysis. Theory, Methods & Applications 159 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 136 Proceedings of the American Mathematical Society 129 Communications in Mathematical Physics 108 Advances in Mathematics 108 Mathematische Annalen 104 SIAM Journal on Mathematical Analysis 102 Annali di Matematica Pura ed Applicata. Serie Quarta 100 Journal de Mathématiques Pures et Appliquées. Neuvième Série 99 The Journal of Geometric Analysis 91 Nonlinear Analysis. Real World Applications 90 Mathematische Zeitschrift 81 Manuscripta Mathematica 79 Discrete and Continuous Dynamical Systems 76 ZAMP. Zeitschrift für angewandte Mathematik und Physik 73 Journal of Computational and Applied Mathematics 71 Communications on Pure and Applied Mathematics 71 Journal of Mathematical Physics 69 Applicable Analysis 66 Mathematical Methods in the Applied Sciences 64 Applied Mathematics and Computation 64 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 63 Duke Mathematical Journal 63 Communications on Pure and Applied Analysis 62 Journal of Mathematical Sciences (New York) 61 Potential Analysis 60 Communications in Contemporary Mathematics 56 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 55 Journal d’Analyse Mathématique 55 NoDEA. Nonlinear Differential Equations and Applications 51 Computers & Mathematics with Applications 51 Numerische Mathematik 49 Differential Equations 47 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 46 Mathematics of Computation 44 Journal of Computational Physics 43 Inventiones Mathematicae 42 Acta Mathematica Sinica. English Series 41 Applied Mathematics Letters 40 Stochastic Processes and their Applications 40 Comptes Rendus. Mathématique. Académie des Sciences, Paris 38 Discrete and Continuous Dynamical Systems. Series B 37 Applied Mathematics and Optimization 36 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 35 Numerical Functional Analysis and Optimization 34 Computer Methods in Applied Mechanics and Engineering 34 Mathematical Notes 34 Physica D 34 Science China. Mathematics 31 Bulletin of the Australian Mathematical Society 31 The Annals of Probability 31 Journal für die Reine und Angewandte Mathematik 31 Journal of Scientific Computing 31 Boundary Value Problems 29 Revista Matemática Iberoamericana 29 Journal of the European Mathematical Society (JEMS) 29 Journal of Evolution Equations 28 Annals of Global Analysis and Geometry 28 Acta Mathematicae Applicatae Sinica. English Series 28 Journal of Mathematical Fluid Mechanics 27 Zeitschrift für Analysis und ihre Anwendungen 27 Chinese Annals of Mathematics. Series B 27 Applied Numerical Mathematics 27 SIAM Journal on Applied Mathematics 26 Annales de l’Institut Fourier 26 Complex Variables and Elliptic Equations 25 SIAM Journal on Control and Optimization 24 Rocky Mountain Journal of Mathematics 24 Probability Theory and Related Fields 24 Advances in Nonlinear Analysis 23 SIAM Journal on Numerical Analysis 23 Siberian Mathematical Journal 23 Numerical Methods for Partial Differential Equations 23 Abstract and Applied Analysis 23 Advanced Nonlinear Studies 22 Israel Journal of Mathematics 22 Journal of Geometry and Physics 22 Acta Mathematica 21 Acta Applicandae Mathematicae 20 Rendiconti del Seminario Matematico della Università di Padova 20 Journal of the American Mathematical Society 19 Quarterly of Applied Mathematics 19 Japan Journal of Industrial and Applied Mathematics 19 The Annals of Applied Probability 19 Bulletin des Sciences Mathématiques 18 Geometriae Dedicata 18 Results in Mathematics 18 Mathematical and Computer Modelling 18 Milan Journal of Mathematics 17 Mathematische Nachrichten 17 Rendiconti del Circolo Matemàtico di Palermo. Serie II 17 Multiscale Modeling & Simulation ...and 432 more Serials
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#### Cited in 59 Fields

 6,884 Partial differential equations (35-XX) 1,030 Fluid mechanics (76-XX) 884 Differential geometry (53-XX) 825 Calculus of variations and optimal control; optimization (49-XX) 733 Numerical analysis (65-XX) 680 Global analysis, analysis on manifolds (58-XX) 498 Operator theory (47-XX) 392 Biology and other natural sciences (92-XX) 378 Probability theory and stochastic processes (60-XX) 310 Functional analysis (46-XX) 308 Mechanics of deformable solids (74-XX) 279 Potential theory (31-XX) 232 Statistical mechanics, structure of matter (82-XX) 205 Ordinary differential equations (34-XX) 185 Optics, electromagnetic theory (78-XX) 179 Quantum theory (81-XX) 174 Several complex variables and analytic spaces (32-XX) 147 Real functions (26-XX) 138 Dynamical systems and ergodic theory (37-XX) 125 Systems theory; control (93-XX) 117 Functions of a complex variable (30-XX) 114 Harmonic analysis on Euclidean spaces (42-XX) 111 Integral equations (45-XX) 110 Classical thermodynamics, heat transfer (80-XX) 108 Relativity and gravitational theory (83-XX) 77 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 50 Geophysics (86-XX) 45 Convex and discrete geometry (52-XX) 43 Manifolds and cell complexes (57-XX) 42 Measure and integration (28-XX) 42 Operations research, mathematical programming (90-XX) 41 Approximations and expansions (41-XX) 37 Algebraic geometry (14-XX) 30 Mechanics of particles and systems (70-XX) 29 Computer science (68-XX) 26 Information and communication theory, circuits (94-XX) 24 Statistics (62-XX) 22 Astronomy and astrophysics (85-XX) 19 Difference and functional equations (39-XX) 17 General topology (54-XX) 16 Abstract harmonic analysis (43-XX) 15 Number theory (11-XX) 14 Topological groups, Lie groups (22-XX) 13 Algebraic topology (55-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 10 Special functions (33-XX) 10 Geometry (51-XX) 9 Integral transforms, operational calculus (44-XX) 7 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 3 Category theory; homological algebra (18-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Sequences, series, summability (40-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Mathematics education (97-XX)

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