# zbMATH — the first resource for mathematics

## Almgren, Frederick Justin jun.

Compute Distance To:
 Author ID: almgren.frederick-j-jun Published as: Almgren, F.; Almgren, F. J.; Almgren, F. J. jun.; Almgren, Fred; Almgren, Frederic J. jun.; Almgren, Frederick; Almgren, Frederick J.; Almgren, Frederick J. jun. External Links: MGP · Wikidata · GND · MacTutor
 Documents Indexed: 65 Publications since 1962, including 6 Books Biographic References: 6 Publications
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#### Co-Authors

 34 single-authored 12 Lieb, Elliott H. 5 Taylor, Jean Ellen 4 Allard, William K. 2 Browder, William 2 Simon, Leon Melvin 2 Wang, Lihe 1 Gurtin, Morton Edward 1 Montgomery, Hugh Lowell 1 Rivin, Igor 1 Schoen, Richard Melvin 1 Sullivan, John J. 1 Super, Boaz J. 1 Thurston, William Paul
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#### Serials

 5 Bulletin of the American Mathematical Society. New Series 5 Annals of Mathematics. Second Series 4 Bulletin of the American Mathematical Society 2 Proceedings of the American Mathematical Society 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Topology 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Fractals 1 Forma 1 Proceedings of Symposia in Pure Mathematics 1 Student Mathematical Library 1 Science
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#### Fields

 40 Calculus of variations and optimal control; optimization (49-XX) 22 Differential geometry (53-XX) 16 Global analysis, analysis on manifolds (58-XX) 10 Measure and integration (28-XX) 9 Partial differential equations (35-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Functional analysis (46-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Convex and discrete geometry (52-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

50 Publications have been cited 1,059 times in 861 Documents Cited by Year
Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints. Zbl 0327.49043
Almgren, F. J. jun.
1976
Curvature-driven flows: a variational approach. Zbl 0783.35002
Almgren, Fred; Taylor, Jean E.; Wang, Lihe
1993
Symmetric decreasing rearrangement is sometimes continuous. Zbl 0688.46014
Almgren, Frederick J. jun.; Lieb, Elliott H.
1989
Some interior regularity theorems for minimal surfaces and an extension of Bernstein’s theorem. Zbl 0146.11905
Almgren, F. J. jun.
1966
Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure. Zbl 0162.24703
Almgren, F. J. jun.
1968
Almgren’s big regularity paper. $$Q$$-valued functions minimizing Dirichlet’s integral and the regularity of area-minimizing rectifiable currents up to codimension 2. Edited by V. Scheffer and Jean E. Taylor. Zbl 0985.49001
Almgren, Frederick J. jun.
2000
The homotopy groups of the integral cycle groups. Zbl 0118.18503
Almgren, F. J. jun.
1962
Q valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two. Zbl 0557.49021
Almgren, F. J. jun.
1983
Optimal isoperimetric inequalities. Zbl 0585.49030
Almgren, F.
1986
The structure of stationary one dimensional varifolds with positive density. Zbl 0339.49020
Allard, W. K.; Almgren, F. J. jun.
1976
Flat flow is motion by crystalline curvature for curves with crystalline energies. Zbl 0867.58020
Almgren, Fred; Taylor, Jean E.
1995
Singularities of energy minimizing maps from the ball to the sphere: Examples, counterexamples, and bounds. Zbl 0673.58013
Almgren, Frederick J. jun.; Lieb, Elliot H.
1988
Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals. Zbl 0386.49030
Schoen, Richard; Simon, Leon; Almgren, F. J.
1978
Plateau’s problem. An invitation to varifold geometry. Zbl 0165.13201
Almgren, F. J. jun.
1966
Co-area, liquid crystals, and minimal surfaces. Zbl 0645.58015
Almgren, F.; Browder, W.; Lieb, E. H.
1988
On the radial behavior of minimal surfaces and the uniqueness of their tangent cones. Zbl 0437.53045
Allard, William K.; Almgren, Frederick J. jun.
1981
Mathematical existence of crystal growth with Gibbs-Thomson curvature effects. Zbl 0981.74041
Almgren, Fred; Wang, Lihe
2000
Existence of embedded solutions of Plateau’s problem. Zbl 0417.49051
Almgren, Frederick J. jun.; Simon, Leon
1979
Dirichlet’s problem for multiple valued functions and the regularity of mass minimizing integral currents. Zbl 0439.49028
Almgren, Frederick J. jun.
1979
Q valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two. Zbl 0529.49021
Almgren, F. J. jun.
1983
Examples of unknotted curves which bound only surfaces of high genus within their convex hulls. Zbl 0353.53001
Almgren, Frederick J. jun.; Thurston, William P.
1977
Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints. Zbl 0297.49041
Almgren, F. J. jun.
1975
The mean curvature integral is invariant under bending. Zbl 0914.53007
Almgren, Frederic J. jun.; Rivin, Igor
1998
Optimal geometry in equilibrium and growth. Zbl 0885.58015
Almgren, Fred; Taylor, Jean E.
1995
Deformations and multiple-valued functions. Zbl 0595.49028
Almgren, F.
1986
Measure theoretic geometry and elliptic variational problems. Zbl 0185.35202
Almgren, F. J. jun.
1969
Three theorems on manifolds with bounded mean curvature. Zbl 0131.19604
Almgren, F. J. jun.
1965
Soap bubble clusters. Zbl 1017.49502
Almgren, Fred; Taylor, Jean E.
1996
Symmetric decreasing rearrangement can be discontinuous. Zbl 0692.46028
Almgren, Frederick J. jun.; Lieb, Elliott H.
1989
Optimal isoperimetric inequalities. Zbl 0572.49022
Almgren, F.
1985
Singularities of energy-minimizing maps from the ball to the sphere. Zbl 0663.58009
Almgren, Frederick J. jun.; Lieb, Elliott H.
1987
Minimal surface forms. Zbl 0492.53003
Almgren, F. J. jun.
1982
An introduction to regularity theory for parametric elliptic variational problems. Zbl 0268.49052
Allard, W. K.; Almgren, F. J. jun.
1973
Mass continuous cochains are differential forms. Zbl 0149.19003
Almgren, F. J. jun.
1965
An isoperimetric inequality. Zbl 0187.31203
Almgren, F. J. jun.
1964
Questions and answers about geometric evolution processes and crystal growth. Zbl 0869.60093
Almgren, Fred
1996
Questions and answers about area-minimizing surfaces and geometric measure theory. Zbl 0812.49032
Almgren, Fred
1993
Spherical symmetrization. Zbl 0656.49018
Almgren, F.
1987
Multiple valued functions in the geometric calculus of variations. Zbl 0575.49025
Almgren, F. J.; Super, B.
1984
The structure of limit varifolds associated with minimizing sequences of mappings. Zbl 0315.49018
Almgren, F. J. jun.
1974
A maximum principle for elliptic variational problems. Zbl 0179.44102
Almgren, F. J. jun.
1969
Plateau’s problem. An invitation to varifold geometry. Revised ed. Zbl 0995.49001
Almgren, Frederick J. jun.
2001
Selected works of Frederick J. Almgren, Jr. Edited by Jean E. Taylor. Zbl 0966.01031
Almgren, Frederick J. jun.
1999
Visualization of soap bubble geometries. Zbl 0803.51021
Almgren, Fred; Sullivan, John
1992
Homotopy with holes and minimal surfaces. Zbl 0731.53058
Almgren, Frederick; Browder, William
1991
The (non) continuity of symmetric decreasing rearrangement. Zbl 0704.46017
Almgren, Frederick J. jun.; Lieb, Elliott H.
1989
Basic techniques of geometric theory. Zbl 0635.53045
Almgren, F.
1988
Geometric measure theory and the calculus of variations. (Proceedings of the Summer Institute on Geometric Measure Theory and the Calculus of Variations Held at the Humboldt State University, Arcata, California, July 16 - August 3, 1984). Zbl 0577.00014
Allard, William K. (ed.); Almgren, Frederick J. jun. (ed.)
1986
Minimal surfaces: Tangent cones, singularities, and topological types. Zbl 0433.49016
Almgren, F. J. jun.
1980
Existence and regularity of solutions to elliptic calculus of variations problems among surfaces of varying topological type and singularity structure. Zbl 0153.15903
Almgren, F. J. jun.
1967
Plateau’s problem. An invitation to varifold geometry. Revised ed. Zbl 0995.49001
Almgren, Frederick J. jun.
2001
Almgren’s big regularity paper. $$Q$$-valued functions minimizing Dirichlet’s integral and the regularity of area-minimizing rectifiable currents up to codimension 2. Edited by V. Scheffer and Jean E. Taylor. Zbl 0985.49001
Almgren, Frederick J. jun.
2000
Mathematical existence of crystal growth with Gibbs-Thomson curvature effects. Zbl 0981.74041
Almgren, Fred; Wang, Lihe
2000
Selected works of Frederick J. Almgren, Jr. Edited by Jean E. Taylor. Zbl 0966.01031
Almgren, Frederick J. jun.
1999
The mean curvature integral is invariant under bending. Zbl 0914.53007
Almgren, Frederic J. jun.; Rivin, Igor
1998
Soap bubble clusters. Zbl 1017.49502
Almgren, Fred; Taylor, Jean E.
1996
Questions and answers about geometric evolution processes and crystal growth. Zbl 0869.60093
Almgren, Fred
1996
Flat flow is motion by crystalline curvature for curves with crystalline energies. Zbl 0867.58020
Almgren, Fred; Taylor, Jean E.
1995
Optimal geometry in equilibrium and growth. Zbl 0885.58015
Almgren, Fred; Taylor, Jean E.
1995
Curvature-driven flows: a variational approach. Zbl 0783.35002
Almgren, Fred; Taylor, Jean E.; Wang, Lihe
1993
Questions and answers about area-minimizing surfaces and geometric measure theory. Zbl 0812.49032
Almgren, Fred
1993
Visualization of soap bubble geometries. Zbl 0803.51021
Almgren, Fred; Sullivan, John
1992
Homotopy with holes and minimal surfaces. Zbl 0731.53058
Almgren, Frederick; Browder, William
1991
Symmetric decreasing rearrangement is sometimes continuous. Zbl 0688.46014
Almgren, Frederick J. jun.; Lieb, Elliott H.
1989
Symmetric decreasing rearrangement can be discontinuous. Zbl 0692.46028
Almgren, Frederick J. jun.; Lieb, Elliott H.
1989
The (non) continuity of symmetric decreasing rearrangement. Zbl 0704.46017
Almgren, Frederick J. jun.; Lieb, Elliott H.
1989
Singularities of energy minimizing maps from the ball to the sphere: Examples, counterexamples, and bounds. Zbl 0673.58013
Almgren, Frederick J. jun.; Lieb, Elliot H.
1988
Co-area, liquid crystals, and minimal surfaces. Zbl 0645.58015
Almgren, F.; Browder, W.; Lieb, E. H.
1988
Basic techniques of geometric theory. Zbl 0635.53045
Almgren, F.
1988
Singularities of energy-minimizing maps from the ball to the sphere. Zbl 0663.58009
Almgren, Frederick J. jun.; Lieb, Elliott H.
1987
Spherical symmetrization. Zbl 0656.49018
Almgren, F.
1987
Optimal isoperimetric inequalities. Zbl 0585.49030
Almgren, F.
1986
Deformations and multiple-valued functions. Zbl 0595.49028
Almgren, F.
1986
Geometric measure theory and the calculus of variations. (Proceedings of the Summer Institute on Geometric Measure Theory and the Calculus of Variations Held at the Humboldt State University, Arcata, California, July 16 - August 3, 1984). Zbl 0577.00014
Allard, William K. (ed.); Almgren, Frederick J. jun. (ed.)
1986
Optimal isoperimetric inequalities. Zbl 0572.49022
Almgren, F.
1985
Multiple valued functions in the geometric calculus of variations. Zbl 0575.49025
Almgren, F. J.; Super, B.
1984
Q valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two. Zbl 0557.49021
Almgren, F. J. jun.
1983
Q valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two. Zbl 0529.49021
Almgren, F. J. jun.
1983
Minimal surface forms. Zbl 0492.53003
Almgren, F. J. jun.
1982
On the radial behavior of minimal surfaces and the uniqueness of their tangent cones. Zbl 0437.53045
Allard, William K.; Almgren, Frederick J. jun.
1981
Minimal surfaces: Tangent cones, singularities, and topological types. Zbl 0433.49016
Almgren, F. J. jun.
1980
Existence of embedded solutions of Plateau’s problem. Zbl 0417.49051
Almgren, Frederick J. jun.; Simon, Leon
1979
Dirichlet’s problem for multiple valued functions and the regularity of mass minimizing integral currents. Zbl 0439.49028
Almgren, Frederick J. jun.
1979
Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals. Zbl 0386.49030
Schoen, Richard; Simon, Leon; Almgren, F. J.
1978
Examples of unknotted curves which bound only surfaces of high genus within their convex hulls. Zbl 0353.53001
Almgren, Frederick J. jun.; Thurston, William P.
1977
Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints. Zbl 0327.49043
Almgren, F. J. jun.
1976
The structure of stationary one dimensional varifolds with positive density. Zbl 0339.49020
Allard, W. K.; Almgren, F. J. jun.
1976
Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints. Zbl 0297.49041
Almgren, F. J. jun.
1975
The structure of limit varifolds associated with minimizing sequences of mappings. Zbl 0315.49018
Almgren, F. J. jun.
1974
An introduction to regularity theory for parametric elliptic variational problems. Zbl 0268.49052
Allard, W. K.; Almgren, F. J. jun.
1973
Measure theoretic geometry and elliptic variational problems. Zbl 0185.35202
Almgren, F. J. jun.
1969
A maximum principle for elliptic variational problems. Zbl 0179.44102
Almgren, F. J. jun.
1969
Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure. Zbl 0162.24703
Almgren, F. J. jun.
1968
Existence and regularity of solutions to elliptic calculus of variations problems among surfaces of varying topological type and singularity structure. Zbl 0153.15903
Almgren, F. J. jun.
1967
Some interior regularity theorems for minimal surfaces and an extension of Bernstein’s theorem. Zbl 0146.11905
Almgren, F. J. jun.
1966
Plateau’s problem. An invitation to varifold geometry. Zbl 0165.13201
Almgren, F. J. jun.
1966
Three theorems on manifolds with bounded mean curvature. Zbl 0131.19604
Almgren, F. J. jun.
1965
Mass continuous cochains are differential forms. Zbl 0149.19003
Almgren, F. J. jun.
1965
An isoperimetric inequality. Zbl 0187.31203
Almgren, F. J. jun.
1964
The homotopy groups of the integral cycle groups. Zbl 0118.18503
Almgren, F. J. jun.
1962
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#### Cited by 877 Authors

 23 Morgan, Frank 18 Novaga, Matteo 15 Almgren, Frederick Justin jun. 14 De Lellis, Camillo 13 Chambolle, Antonin 12 Felli, Veronica 12 Lin, Fang Hua 11 Hardt, Robert M. 11 Maggi, Francesco 10 Fusco, Nicola 9 De Philippis, Guido 9 Duzaar, Frank 9 Morini, Massimiliano 8 Bellettini, Giovanni 8 Harrison, Jenny C. 8 Marques, Fernando Codá 8 Minicozzi, William Philip II 7 Arroja Neves, André 7 Braides, Andrea 7 Colding, Tobias Holck 7 Gromov, Mikhael Leonidovich 7 Simon, Leon Melvin 7 Spadaro, Emanuele Nunzio 7 White, Brian Cabell 6 Ambrosio, Luigi 6 Esedoglu, Selim 6 Garofalo, Nicola 6 Gazzola, Filippo 6 Giaquinta, Mariano 6 Lawson, Herbert Blaine jun. 6 Lieb, Elliott H. 6 Millot, Vincent 6 Rakotoson, Jean-Michel 6 Tonegawa, Yoshihiro 6 Wei, Juncheng 5 Brézis, Haïm 5 Caraballo, David G. 5 Caselles Costa, Vicent 5 Ferrero, Alberto 5 Figalli, Alessio 5 Giga, Yoshikazu 5 Goblet, Jordan 5 Hadzic, Mahir 5 Hsiang, Wu-Yi 5 Jost, Jürgen 5 Laux, Tim 5 Leonardi, Gian Paolo 5 Liang, Xiangyu 5 Mironescu, Petru 5 Ponsiglione, Marcello 5 Pugh, Harrison 5 Rivière, Tristan 5 Rosales, Leobardo 5 Taylor, Jean Ellen 5 Terracini, Susanna 5 Valtorta, Daniele 5 Wickramasekera, Neshan 4 Abatangelo, Laura 4 Allard, William K. 4 Brendle, Simon 4 Carlen, Eric Anders 4 Cianchi, Andrea 4 Cicalese, Marco 4 De Pauw, Thierry 4 De Rosa, Antonio 4 Fonseca, Irene 4 Ghiraldin, Francesco 4 Górka, Przemysław 4 Grüter, Michael 4 Hildebrandt, Stefan 4 Hirsch, Jonas 4 Menne, Ulrich 4 Modica, Giuseppe 4 Mucci, Domenico 4 Naber, Aaron C. 4 Ok, Jihoon 4 Parks, Harold R. 4 Petrosyan, Arshak 4 Pisante, Adriano 4 Röger, Matthias 4 Schoen, Richard Melvin 4 Smit Vega Garcia, Mariana 4 Soucek, Jiri 4 Spolaor, Luca 4 Torres Ledesma, César Enrique 4 Van Gennip, Yves 4 Wadade, Hidemitsu 4 Zhou, Xin 3 Bögelein, Verena 3 Bombieri, Enrico 3 Brakke, Kenneth A. 3 Brasco, Lorenzo 3 Caffarelli, Luis Ángel 3 Cinti, Eleonora 3 Dai, Limei 3 David, Guy 3 Del Pino, Manuel A. 3 Diaz Diaz, Jesus Ildefonso 3 Dierkes, Ulrich 3 Draghici, Cristina ...and 777 more Authors
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#### Cited in 188 Serials

 71 Calculus of Variations and Partial Differential Equations 45 Archive for Rational Mechanics and Analysis 44 The Journal of Geometric Analysis 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Transactions of the American Mathematical Society 23 Inventiones Mathematicae 23 Proceedings of the American Mathematical Society 20 Journal of Functional Analysis 19 Advances in Mathematics 17 Mathematische Annalen 16 Journal of Differential Equations 16 Manuscripta Mathematica 16 Bulletin of the American Mathematical Society. New Series 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Duke Mathematical Journal 11 Communications in Partial Differential Equations 11 Bulletin of the American Mathematical Society 10 Communications in Mathematical Physics 10 Communications on Pure and Applied Mathematics 10 Journal of Mathematical Analysis and Applications 10 Acta Mathematica 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 10 Journal für die Reine und Angewandte Mathematik 10 Annals of Mathematics. Second Series 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Mathematische Zeitschrift 9 Journal of the European Mathematical Society (JEMS) 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Communications on Pure and Applied Analysis 8 Advances in Calculus of Variations 7 Journal of Computational Physics 7 Rendiconti del Seminario Matematico della Università di Padova 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Geometriae Dedicata 6 Annals of Global Analysis and Geometry 6 Geometric and Functional Analysis. GAFA 6 SIAM Journal on Mathematical Analysis 5 Annales de l’Institut Fourier 5 Revista Matemática Iberoamericana 5 Journal of the American Mathematical Society 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Discrete and Continuous Dynamical Systems 5 Nonlinear Analysis. Theory, Methods & Applications 4 Journal d’Analyse Mathématique 4 Journal of Geometry and Physics 4 Publications Mathématiques 4 Journal of Soviet Mathematics 4 Journal of Scientific Computing 4 Differential Geometry and its Applications 4 NoDEA. Nonlinear Differential Equations and Applications 4 Milan Journal of Mathematics 4 Discrete and Continuous Dynamical Systems. Series S 3 Applicable Analysis 3 Archiv der Mathematik 3 Tohoku Mathematical Journal. Second Series 3 Physica D 3 Applied Mathematics Letters 3 Japan Journal of Industrial and Applied Mathematics 3 Journal of Mathematical Sciences (New York) 3 Electronic Research Announcements of the American Mathematical Society 3 Communications in Contemporary Mathematics 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Journal of Fixed Point Theory and Applications 3 Networks and Heterogeneous Media 3 Analysis & PDE 3 Journal of Topology and Analysis 3 Advances in Nonlinear Analysis 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 The Mathematical Intelligencer 2 Applied Mathematics and Optimization 2 Compositio Mathematica 2 Indiana University Mathematics Journal 2 Journal of Differential Geometry 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Topology and its Applications 2 Zeitschrift für Analysis und ihre Anwendungen 2 Acta Mathematicae Applicatae Sinica. English Series 2 Probability Theory and Related Fields 2 European Journal of Applied Mathematics 2 Applications of Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Expositiones Mathematicae 2 Journal of Nonlinear Science 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Potential Analysis 2 St. Petersburg Mathematical Journal 2 Mathematical Inequalities & Applications 2 Acta Mathematica Sinica. English Series 2 Advanced Nonlinear Studies 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Central European Journal of Mathematics 2 Science China. Mathematics 2 Bulletin of Mathematical Sciences 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Analysis and Geometry in Metric Spaces ...and 88 more Serials
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#### Cited in 50 Fields

 382 Calculus of variations and optimal control; optimization (49-XX) 318 Differential geometry (53-XX) 299 Partial differential equations (35-XX) 141 Global analysis, analysis on manifolds (58-XX) 63 Functional analysis (46-XX) 59 Measure and integration (28-XX) 53 Real functions (26-XX) 47 Mechanics of deformable solids (74-XX) 38 Fluid mechanics (76-XX) 36 Statistical mechanics, structure of matter (82-XX) 33 Numerical analysis (65-XX) 24 Convex and discrete geometry (52-XX) 20 Operator theory (47-XX) 20 Manifolds and cell complexes (57-XX) 17 Classical thermodynamics, heat transfer (80-XX) 13 Ordinary differential equations (34-XX) 11 Algebraic geometry (14-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Probability theory and stochastic processes (60-XX) 10 Geometry (51-XX) 10 Algebraic topology (55-XX) 8 Functions of a complex variable (30-XX) 8 Potential theory (31-XX) 8 Quantum theory (81-XX) 7 Computer science (68-XX) 6 General topology (54-XX) 6 Relativity and gravitational theory (83-XX) 6 Information and communication theory, circuits (94-XX) 5 History and biography (01-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral equations (45-XX) 4 Group theory and generalizations (20-XX) 4 Topological groups, Lie groups (22-XX) 3 Combinatorics (05-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Mechanics of particles and systems (70-XX) 1 Commutative algebra (13-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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