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Gilbarg, David (b. 1918 d. 2001)

Author ID: gilbarg.david Recent zbMATH articles by "Gilbarg, David"
Published as: Gilbarg, David; Gilbarg, D.
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 30 Publications since 1942, including 5 Books
Co-Authors: 13 Co-Authors with 17 Joint Publications
278 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 12,253 times in 11,900 Documents Cited by Year
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. 2nd ed. Zbl 0562.35001
Gilbarg, David; Trudinger, Neil S.
1983
Elliptic partial differential equations of second order. Zbl 0361.35003
Gilbarg, David; Trudinger, Neil S.
1977
Elliptic partial differential equations of second order. Transl. from the English by L. P. Kuptsov. Transl. ed. by A. K. Gushchin. (Эллиптические дифференциальные уравнения с частными производными второго порядка.) 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
113
1956
Intermediate Schauder estimates. Zbl 0454.35022
Gilbarg, David; Hörmander, Lars
100
1980
Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral. Zbl 0381.35067
Gilbarg, D.; Weinberger, H. F.
88
1978
The existence and limit behavior of the one-dimensional shock layer. Zbl 0044.21504
Gilbarg, David
78
1951
Asymptotic behaviour and uniqueness of plane subsonic flows. Zbl 0077.18801
Finn, R.; Gilbarg, D.
68
1957
Three-dimensional subsonic flows, and asymptotic estimates for elliptic partial differential equations. Zbl 0078.40001
Finn, Robert; Gilbarg, David
60
1957
Jets and cavities. Zbl 1339.76003
Gilbarg, David
51
1960
The structure of shock waves in the continuum theory of fluids. Zbl 0051.18102
Gilbarg, D.; Paolucci, D.
49
1953
On bodies achieving extreme values of the critical Mach number. I. Zbl 0055.18801
Gilbarg, D.; Shiffman, M.
34
1954
Asymptotic properties of Leray’s solution of the stationary two- dimensional Navier-Stokes equations. Zbl 0304.35071
Gilbarg, D.; Weinberger, H. F.
32
1974
The Phragmén-Lindelöf theorem for elliptic partial differential equations. Zbl 0046.10403
Gilbarg, David
31
1952
Comparison methods in the theory of subsonic flows. Zbl 0053.31503
Gilbarg, David
15
1953
Uniqueness of axially symmetric flows with free boundaries. Zbl 0049.41603
Gilbarg, David
12
1952
Uniqueness of axially symmetric subsonic flow past a finite body. Zbl 0064.19911
Gilbarg, David; Serrin, James
10
1955
Boundary value problems for nonlinear elliptic equations in n variables. Zbl 0121.08401
Gilbarg, D.
9
1963
Free boundaries and jets in the theory of cavitation. Zbl 0040.40303
Gilbarg, David; Serrin, James
9
1950
Studies in mathematical analysis and related topics. Essays in Honor of George Polya. Zbl 0112.03601
Szegö, Gábor; Loewner, C.; Bergman, S.; Schiffer, M. M.; Neyman, J.; Gilbarg, D.; Solomon, Herbert
9
1962
On the flow patterns common to certain classes of plane fluid motions. Zbl 0036.13403
Gilbarg, D.
8
1947
A generalization of the Schwarz-Christoffel transformation. Zbl 0038.05203
Gilbarg, D.
7
1949
Unsteady flows with free boundaries. Zbl 0046.10501
Gilbarg, David
6
1952
Uniqueness and the force formulas for plane subsonic flows. Zbl 0086.20303
Finn, Robert; Gilbarg, David
6
1958
Asymptotic properties of Leray’s solutions of the stationary two- dimensional Navier-Stokes equations. Zbl 0299.35081
Gilbarg, D.; Weinberger, H. F.
5
1974
Some hydrodynamic applications of function theoretic properties of elliptic equations. Zbl 0095.20804
Gilbarg, D.
5
1959
The structure of the group of \({\mathfrak P}\)-adic 1-units. Zbl 0061.06005
Gilbarg, David
4
1942
Some local properties of elliptic equations. Zbl 0178.13001
Gilbarg, D.
3
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. Transl. from the English by L. P. Kuptsov. Transl. ed. by A. K. Gushchin. (Эллиптические дифференциальные уравнения с частными производными второго порядка.) 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
100
1980
Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral. Zbl 0381.35067
Gilbarg, D.; Weinberger, H. F.
88
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.
32
1974
Asymptotic properties of Leray’s solutions of the stationary two- dimensional Navier-Stokes equations. Zbl 0299.35081
Gilbarg, D.; Weinberger, H. F.
5
1974
Boundary value problems for nonlinear elliptic equations in n variables. Zbl 0121.08401
Gilbarg, D.
9
1963
Studies in mathematical analysis and related topics. Essays in Honor of George Polya. Zbl 0112.03601
Szegö, Gábor; Loewner, C.; Bergman, S.; Schiffer, M. M.; Neyman, J.; Gilbarg, D.; Solomon, Herbert
9
1962
Some local properties of elliptic equations. Zbl 0178.13001
Gilbarg, D.
3
1961
Jets and cavities. Zbl 1339.76003
Gilbarg, David
51
1960
Some hydrodynamic applications of function theoretic properties of elliptic equations. Zbl 0095.20804
Gilbarg, D.
5
1959
Uniqueness and the force formulas for plane subsonic flows. Zbl 0086.20303
Finn, Robert; Gilbarg, David
6
1958
Asymptotic behaviour and uniqueness of plane subsonic flows. Zbl 0077.18801
Finn, R.; Gilbarg, D.
68
1957
Three-dimensional subsonic flows, and asymptotic estimates for elliptic partial differential equations. Zbl 0078.40001
Finn, Robert; Gilbarg, David
60
1957
On isolated singularities of solutions of second order elliptic differential equations. Zbl 0071.09701
Gilbarg, D.; Serrin, James
113
1956
Uniqueness of axially symmetric subsonic flow past a finite body. Zbl 0064.19911
Gilbarg, David; Serrin, James
10
1955
On bodies achieving extreme values of the critical Mach number. I. Zbl 0055.18801
Gilbarg, D.; Shiffman, M.
34
1954
The structure of shock waves in the continuum theory of fluids. Zbl 0051.18102
Gilbarg, D.; Paolucci, D.
49
1953
Comparison methods in the theory of subsonic flows. Zbl 0053.31503
Gilbarg, David
15
1953
The Phragmén-Lindelöf theorem for elliptic partial differential equations. Zbl 0046.10403
Gilbarg, David
31
1952
Uniqueness of axially symmetric flows with free boundaries. Zbl 0049.41603
Gilbarg, David
12
1952
Unsteady flows with free boundaries. Zbl 0046.10501
Gilbarg, David
6
1952
The existence and limit behavior of the one-dimensional shock layer. Zbl 0044.21504
Gilbarg, David
78
1951
Free boundaries and jets in the theory of cavitation. Zbl 0040.40303
Gilbarg, David; Serrin, James
9
1950
A generalization of the Schwarz-Christoffel transformation. Zbl 0038.05203
Gilbarg, D.
7
1949
On the flow patterns common to certain classes of plane fluid motions. Zbl 0036.13403
Gilbarg, D.
8
1947
The structure of the group of \({\mathfrak P}\)-adic 1-units. Zbl 0061.06005
Gilbarg, David
4
1942
all top 5

Cited by 10,013 Authors

50 Trudinger, Neil Sidney
44 Papageorgiou, Nikolaos S.
42 Wei, Juncheng
41 Lieberman, Gary M.
38 Musolino, Paolo
35 García-Melián, Jorge
35 Wang, Zhi-Qiang
34 Byeon, Jaeyoung
33 Chen, Gui-Qiang G.
32 Rădulescu, Vicenţiu D.
32 Véron, Laurent
32 Zhang, Zhijun
30 Valdinoci, Enrico
30 Wang, Xu-Jia
29 Chipot, Michel
29 Dancer, Edward Norman
29 Wang, Lihe
28 Lou, Yuan
27 Caffarelli, Luis Ángel
26 Winkler, Michael
26 Xu, Xiangsheng
25 Du, Lili
25 Fuchs, Martin
25 Lanza de Cristoforis, Massimo
25 López Camino, Rafael
25 Quaas, Alexander
25 Tang, Chun-Lei
24 Sweers, Guido H.
24 Xin, Zhouping
23 Dalla Riva, Matteo
23 Feng, Xiaobing
23 Li, Dongsheng
22 Alves, Claudianor Oliveira
22 Bao, Jiguang
22 Du, Yihong
22 Porru, Giovanni
22 Rossi, Julio Daniel
21 Ciraolo, Giulio
21 Do Ó, João M. Bezerra
21 Escher, Joachim
21 Sirakov, Boyan Slavchev
20 Anderson, Michael T.
20 Chabrowski, Jan H.
20 Friedman, Avner
20 da Silva Montenegro, Marcelo
20 Pan, Xingbin
20 Rigoli, Marco
20 Sciunzi, Berardino
20 Shahgholian, Henrik
20 Vitolo, Antonio
19 Figueiredo, Giovany Malcher
19 Guo, Yujin
19 Lee, Ki-Ahm
19 Ni, Wei-Ming
19 Yamamoto, Masahiro
18 Choi, Yung-Sze
18 Drábek, Pavel
18 Emamizadeh, Behrouz
18 Feldman, Mikhail
18 Ghergu, Marius
18 Guo, Zongming
18 Liu, Feng
18 Liu, Jiakun
18 Novaga, Matteo
18 Zou, Wenming
17 Cheng, Jianfeng
17 Matioc, Bogdan-Vasile
17 Mohammed, Ahmed
17 Neilan, Michael
17 Porretta, Alessio
17 Yi, Fahuai
17 Zhang, Zhitao
16 Alessandrini, Giovanni
16 Biswas, Anup
16 Boccardo, Lucio
16 Bonheure, Denis
16 Chen, Shuxing
16 Dai, Guowei
16 Díaz Díaz, Jesús Ildefonso
16 Dzhokhadze, Otar Mikhajlovich
16 Giga, Yoshikazu
16 Kim, Eun Heui
16 Kim, KyeongHun
16 López-Gómez, Julián
16 Magnanini, Rolando
16 Muratov, Cyrill B.
16 Palagachev, Dian K.
16 Peng, Shuangjie
16 Ripoll, Jaime Bruck
16 Sakaguchi, Shigeru
16 Slodička, Marián
16 Xiang, Wei
16 Xie, Chunjing
16 Yeh, Li-Ming
16 Yin, Huicheng
15 Bildhauer, Michael
15 Cao, Daomin
15 Carl, Siegfried
15 Chen, Xinfu
15 Chen, Xiuxiong
...and 9,913 more Authors
all top 5

Cited in 634 Serials

752 Journal of Differential Equations
623 Journal of Mathematical Analysis and Applications
471 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
405 Calculus of Variations and Partial Differential Equations
310 Archive for Rational Mechanics and Analysis
259 Communications in Partial Differential Equations
238 Journal of Functional Analysis
227 Transactions of the American Mathematical Society
176 Nonlinear Analysis. Theory, Methods & Applications
172 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
166 The Journal of Geometric Analysis
153 SIAM Journal on Mathematical Analysis
151 Proceedings of the American Mathematical Society
150 Communications in Mathematical Physics
136 Mathematische Annalen
131 Advances in Mathematics
126 Annali di Matematica Pura ed Applicata. Serie Quarta
121 Journal de Mathématiques Pures et Appliquées. Neuvième Série
120 Mathematical Methods in the Applied Sciences
115 Nonlinear Analysis. Real World Applications
112 Discrete and Continuous Dynamical Systems
111 Mathematische Zeitschrift
109 ZAMP. Zeitschrift für angewandte Mathematik und Physik
109 Communications on Pure and Applied Analysis
102 Journal of Mathematical Physics
98 Applicable Analysis
97 Communications on Pure and Applied Mathematics
87 Journal of Computational and Applied Mathematics
86 Manuscripta Mathematica
84 Communications in Contemporary Mathematics
83 Potential Analysis
79 NoDEA. Nonlinear Differential Equations and Applications
78 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
78 Journal of Mathematical Sciences (New York)
71 Applied Mathematics and Computation
70 Journal d’Analyse Mathématique
68 Duke Mathematical Journal
67 Computers & Mathematics with Applications
63 Applied Mathematics Letters
60 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
58 Applied Mathematics and Optimization
58 Numerische Mathematik
57 Journal of Computational Physics
57 Discrete and Continuous Dynamical Systems. Series B
56 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
56 Differential Equations
55 Complex Variables and Elliptic Equations
51 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
50 Acta Mathematica Sinica. English Series
49 Nonlinearity
49 Mathematics of Computation
49 Inventiones Mathematicae
49 Boundary Value Problems
48 Mathematische Nachrichten
47 Journal of Scientific Computing
47 Stochastic Processes and their Applications
47 Comptes Rendus. Mathématique. Académie des Sciences, Paris
46 Advances in Nonlinear Analysis
44 Computer Methods in Applied Mechanics and Engineering
44 Science China. Mathematics
41 Journal of Evolution Equations
41 Advanced Nonlinear Studies
40 Mathematical Notes
40 Physica D
39 Journal für die Reine und Angewandte Mathematik
37 Journal of Mathematical Fluid Mechanics
36 Inverse Problems
36 Numerical Functional Analysis and Optimization
36 SIAM Journal on Control and Optimization
36 SIAM Journal on Numerical Analysis
36 Annals of Global Analysis and Geometry
36 Applied Numerical Mathematics
36 Revista Matemática Iberoamericana
36 Numerical Methods for Partial Differential Equations
36 SIAM Journal on Applied Mathematics
34 Journal of the European Mathematical Society (JEMS)
33 The Annals of Probability
33 Chinese Annals of Mathematics. Series B
33 Acta Mathematicae Applicatae Sinica. English Series
32 Bulletin of the Australian Mathematical Society
30 Results in Mathematics
30 Discrete and Continuous Dynamical Systems. Series S
29 Rocky Mountain Journal of Mathematics
29 Zeitschrift für Analysis und ihre Anwendungen
29 Acta Applicandae Mathematicae
28 Annales de l’Institut Fourier
28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
27 Probability Theory and Related Fields
27 The Annals of Applied Probability
26 Israel Journal of Mathematics
26 Geometriae Dedicata
25 Siberian Mathematical Journal
25 Topological Methods in Nonlinear Analysis
25 Electronic Journal of Differential Equations (EJDE)
25 Abstract and Applied Analysis
25 Multiscale Modeling & Simulation
25 Mathematics in Engineering
24 Journal of Fixed Point Theory and Applications
24 Analysis & PDE
23 Journal of Geometry and Physics
...and 534 more Serials
all top 5

Cited in 59 Fields

9,234 Partial differential equations (35-XX)
1,367 Fluid mechanics (76-XX)
1,199 Differential geometry (53-XX)
1,044 Calculus of variations and optimal control; optimization (49-XX)
1,006 Numerical analysis (65-XX)
845 Global analysis, analysis on manifolds (58-XX)
644 Operator theory (47-XX)
590 Biology and other natural sciences (92-XX)
515 Probability theory and stochastic processes (60-XX)
418 Functional analysis (46-XX)
390 Mechanics of deformable solids (74-XX)
370 Potential theory (31-XX)
310 Statistical mechanics, structure of matter (82-XX)
259 Optics, electromagnetic theory (78-XX)
241 Several complex variables and analytic spaces (32-XX)
241 Ordinary differential equations (34-XX)
238 Quantum theory (81-XX)
197 Real functions (26-XX)
186 Dynamical systems and ergodic theory (37-XX)
171 Harmonic analysis on Euclidean spaces (42-XX)
164 Systems theory; control (93-XX)
163 Functions of a complex variable (30-XX)
148 Integral equations (45-XX)
142 Relativity and gravitational theory (83-XX)
131 Classical thermodynamics, heat transfer (80-XX)
127 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
67 Manifolds and cell complexes (57-XX)
67 Operations research, mathematical programming (90-XX)
66 Geophysics (86-XX)
65 Convex and discrete geometry (52-XX)
59 Measure and integration (28-XX)
52 Computer science (68-XX)
51 Approximations and expansions (41-XX)
50 Algebraic geometry (14-XX)
46 Mechanics of particles and systems (70-XX)
40 Statistics (62-XX)
39 Information and communication theory, circuits (94-XX)
34 Astronomy and astrophysics (85-XX)
20 Difference and functional equations (39-XX)
20 General topology (54-XX)
19 Abstract harmonic analysis (43-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
16 Number theory (11-XX)
16 Topological groups, Lie groups (22-XX)
15 Special functions (33-XX)
15 Algebraic topology (55-XX)
14 Geometry (51-XX)
12 Integral transforms, operational calculus (44-XX)
7 General and overarching topics; collections (00-XX)
7 History and biography (01-XX)
5 Combinatorics (05-XX)
5 Nonassociative rings and algebras (17-XX)
5 Group theory and generalizations (20-XX)
3 Category theory; homological algebra (18-XX)
3 Sequences, series, summability (40-XX)
3 Mathematics education (97-XX)
2 Mathematical logic and foundations (03-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)

Citations by Year

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