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## Ziemer, William Paul

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 Author ID: ziemer.william-p Published as: Ziemer, William P.; Ziemer, W. P.; Zeimer, William P.; Ziemer, William External Links: MGP · dblp
 Documents Indexed: 80 Publications since 1962, including 4 Books Biographic References: 1 Publication
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#### Co-Authors

 31 single-authored 8 Sternberg, Peter J. 5 Gariepy, Ronald F. 5 Swanson, David 4 Michael, James H. 3 Malý, Jan 2 Brothers, John E. 2 Chen, Gui-Qiang G. 2 Ewing, John Harwood 2 Goffman, Casper 2 Gustafson, William H. 2 Halmos, Paul Richard 2 Moolgavkar, Suresh H. 2 Parks, Harold R. 2 Torres, Monica 2 Wheeler, William Hollis 1 Allard, William K. 1 Antman, Stuart S. 1 Bagby, Thomas 1 Berkovitz, Leonard David 1 Brézis, Haïm 1 Coleman, Bernard David 1 Deignan, Daniel J. 1 Federer, Herbert 1 Fleming, Wendell Helms 1 Gurtin, Morton Edward 1 Hardt, Robert M. 1 Ilmanen, Thomas 1 Kilpeläinen, Tero 1 Marola, Niko 1 Martio, Olli 1 Meyers, Norman G. 1 Montero, José Alberto 1 Mu, Jun 1 Nohel, John A. 1 Pepe, W. D. 1 Rakotoson, Jean-Michel 1 Shreve, Steven E. 1 Stredulinsky, Edward W. 1 Troyer, Robert J. 1 Vaaler, Leslie 1 Wermer, John 1 Williams, William O. 1 Zumbrun, Kevin R.
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#### Serials

 11 Transactions of the American Mathematical Society 5 Archive for Rational Mechanics and Analysis 4 Journal of Differential Equations 4 Pacific Journal of Mathematics 3 Michigan Mathematical Journal 2 Communications on Pure and Applied Mathematics 2 Arkiv för Matematik 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Proceedings of the American Mathematical Society 2 The Journal of Geometric Analysis 2 Journal of Mathematics and Mechanics 2 Graduate Texts in Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Acta Universitatis Carolinae. Mathematica et Physica 1 American Mathematical Monthly 1 Studia Mathematica 1 American Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of the Mathematical Society of Japan 1 Real Analysis Exchange 1 SIAM Journal on Control and Optimization 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Mathematica Bohemica 1 Communications in Partial Differential Equations 1 Pokroky Matematiky, Fyziky & Astronomie 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Notices of the American Mathematical Society 1 Calculus of Variations and Partial Differential Equations 1 Annals of Mathematics. Second Series 1 Bulletin of the American Mathematical Society 1 Pure and Applied Mathematics Quarterly 1 Mathematical Surveys and Monographs
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#### Fields

 31 Partial differential equations (35-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 17 Functional analysis (46-XX) 14 Real functions (26-XX) 14 Measure and integration (28-XX) 6 Mechanics of deformable solids (74-XX) 5 Potential theory (31-XX) 4 History and biography (01-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

65 Publications have been cited 2,212 times in 1,863 Documents Cited by Year
Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Zbl 0692.46022
Ziemer, William P.
1989
Fine regularity of solutions of elliptic partial differential equations. Zbl 0882.35001
Malý, Jan; Ziemer, William P.
1997
Change of variables for absolutely continuous functions. Zbl 0177.08006
Ziemer, William P.
1969
Minimal rearrangements of Sobolev functions. Zbl 0633.46030
Brothers, John E.; Ziemer, William P.
1988
The Lebesgue set of a function whose distribution derivatives are $$p$$-th power summable. Zbl 0238.28015
Federer, Herbert; Ziemer, William P.
1972
A regularity condition at the boundary for solutions of quasilinear elliptic equations. Zbl 0389.35023
Gariepy, Ronald; Ziemer, William P.
1977
Extremal length and conformal capacity. Zbl 0177.34002
Ziemer, W. P.
1967
Extremal length and p-capacity. Zbl 0172.38701
Ziemer, W. P.
1969
The co-area formula for Sobolev mappings. Zbl 1034.46032
Maly, Jan; Swanson, David; Ziemer, William P.
2003
Interior and boundary continuity of weak solutions of degenerate parabolic equations. Zbl 0506.35053
Ziemer, William P.
1982
Interior regularity for solutions to obstacle problems. Zbl 0603.49006
Michael, J. H.; Ziemer, William P.
1986
Existence, uniqueness, and regularity for functions of least gradient. Zbl 0756.49021
Sternberg, Peter; Williams, Graham; Ziemer, William P.
1992
Gauss-Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws. Zbl 1158.35062
Chen, Gui-Qiang; Ziemer, William P.; Torres, Monica
2009
Integral inequalities of Poincaré and Wirtinger type for BV functions. Zbl 0416.46025
Meyers, Norman G.; Ziemer, William P.
1977
Pointwise differentiability and absolute continuity. Zbl 0295.26013
Bagby, Thomas; Ziemer, William P.
1974
Local behavior of solutions of quasilinear elliptic equations with general structure. Zbl 0708.35023
Rakotoson, J. M.; Ziemer, William P.
1990
Lusin’s condition (N) and mappings with nonnegative Jacobians. Zbl 0807.46032
Martio, O.; Ziemer, William P.
1992
Geometric measure theory and the axioms of continuum thermodynamics. Zbl 0599.73002
Gurtin, Morton E.; Williams, William O.; Ziemer, William P.
1986
Area minimizing sets subject to a volume constraint in a convex set. Zbl 0940.49025
Stredulinsky, Edward; Ziemer, William P.
1997
Extremal length as a capacity. Zbl 0183.39104
Ziemer, W. P.
1970
Generalized motion by curvature with a Dirichlet condition. Zbl 0810.35048
Sternberg, Peter; Ziemer, William P.
1994
Behavior at the boundary of solutions of quasilinear parabolic equations. Zbl 0451.35037
Ziemer, William P.
1980
Cauchy flux and sets of finite perimeter. Zbl 0531.73005
Ziemer, William P.
1983
Thermal capacity and boundary regularity. Zbl 0493.35053
Gariepy, Ronald; Ziemer, William P.
1982
Boundary regularity for quasiminima. Zbl 0611.35030
Ziemer, William P.
1986
Behavior at the boundary of solutions of quasilinear elliptic equations. Zbl 0297.35032
Gariepy, Ronald; Ziemer, William P.
1974
Integral currents mod 2. Zbl 0136.03603
Ziemer, W. P.
1962
Pointwise regularity of solutions to nonlinear double obstacle problems. Zbl 0733.35025
Kilpeläinen, Tero; Ziemer, William P.
1991
Smooth regularity of solutions of double obstacle problems involving degenerate elliptic equations. Zbl 0742.35010
Mu, Jun; Ziemer, William P.
1991
Fine behavior of functions whose gradients are in an Orlicz space. Zbl 1176.46033
Malý, Jan; Swanson, David; Ziemer, William P.
2009
The Dirichlet problem for functions of least gradient. Zbl 0818.49024
Sternberg, Peter; Ziemer, William P.
1993
Some remarks on harmonic measure in space. Zbl 0323.31005
Ziemer, William P.
1974
Local minimizers with vortices to the Ginzburg-Landau system in three dimensions. Zbl 1052.49002
Montero, J. Alberto; Sternberg, Peter; Ziemer, William P.
2004
A Lusin type approximation of Sobolev functions by smooth functions. Zbl 0592.41031
Michael, J. H.; Ziemer, William P.
1985
Local minimisers of a three-phase partition problem with triple junctions. Zbl 0843.49025
Sternberg, Peter; Zeimer, William P.
1994
Minimal rearrangements of Sobolev functions. Zbl 0659.46029
Brothers, John E.; Ziemer, William P.
1987
Sobolev functions whose inner trace at the boundary is zero. Zbl 1021.46027
Swanson, David; Ziemer, William P.
1999
The constrained least gradient problem in $$R^ n$$. Zbl 0788.49034
Sternberg, Peter; Williams, Graham; Ziemer, William P.
1993
Some lower bounds for Lebesgue area. Zbl 0156.06104
Ziemer, W. P.
1966
Jacobi fields and regularity of functions of least gradients. Zbl 0605.49027
Parks, Harold R.; Ziemer, William P.
1984
The obstacle problem for functions of least gradient. Zbl 0936.49024
Ziemer, William P.; Zumbrun, Kevin
1999
Uniform differentiability of Sobolev functions. Zbl 0677.41033
Ziemer, William P.
1988
The area and variation of linearly continuous functions. Zbl 0165.06802
Ziemer, W. P.
1969
Higher dimensional mappings for which the area formula holds. Zbl 0204.08001
Goffman, C.; Ziemer, W. P.
1970
Removable sets for quasilinear parabolic equations. Zbl 0454.35049
Gariepy, Ronald; Ziemer, William P.
1980
Equilibrium solutions to generalized motion by mean curvature. Zbl 0941.35028
Ilmanen, Tom; Sternberg, Peter; Ziemer, William P.
1998
Strong differentiability properties of Bessel potentials. Zbl 0361.26005
Deignan, Daniel J.; Ziemer, William P.
1977
A topological aspect of Sobolev mappings. Zbl 1020.46008
Swanson, David; Ziemer, William P.
2002
Measure-theoretic analysis and nonlinear conservation laws. Zbl 1132.35416
Chen, Gui-Qiang; Torres, Monica; Ziemer, William P.
2007
Regularity of weak solutions of parabolic variational inequalities. Zbl 0707.49004
Ziemer, William P.
1988
Mean values of subsolutions of elliptic and parabolic equations. Zbl 0552.35008
Ziemer, William P.
1983
Existence of solutions of obstacle problems. Zbl 0735.35067
Michael, J. H.; Ziemer, William P.
1991
The image of a weakly differentiable mapping. Zbl 1070.46026
Swanson, David; Ziemer, William P.
2004
Modern real analysis. With contributions by Monica Torres. 2nd edition, previously published by PWS Publishing Company 1995. Zbl 1401.26002
Ziemer, William P.
2017
Topologies generated by outer measures. Zbl 0112.28401
Troyer, R. J.; Ziemer, W. P.
1963
$$C^{1,1}$$-regularity of constrained area minimizing hypersurfaces. Zbl 0743.49016
Sternberg, Peter; Ziemer, William P.; Williams, Graham
1991
Functions of least gradient and BV functions. Zbl 0965.46023
Ziemer, William P.
1999
The Gauss-Green theorem for weakly differentiable vector fields. Zbl 1145.28010
Ziemer, William P.
2008
A tribute to Wendell H. Fleming. Zbl 0770.01012
Berkovitz, L. D.; Shreve, Steven E.; Ziemer, William P.
1993
A Poincaré-type inequality for solutions of elliptic differential equations. Zbl 0601.35034
Ziemer, William P.
1986
The Wiener criterion and quasilinear uniformly elliptic equations. Zbl 0635.35030
Michael, J. H.; Ziemer, William P.
1987
Slices of maps and Lebesgue area. Zbl 0209.08904
Ziemer, W. P.
1972
A gradient estimate at the boundary for solutions of quasilinear elliptic equations. Zbl 0336.35045
Gariepy, Ronald; Ziemer, William P.
1976
Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces. Zbl 1339.46035
Marola, Niko; Ziemer, William P.
2015
The Dirichlet problem for Euler-Lagrange equations on arbitrary domains. Zbl 0458.35037
Ziemer, William P.
1979
Modern real analysis. With contributions by Monica Torres. 2nd edition, previously published by PWS Publishing Company 1995. Zbl 1401.26002
Ziemer, William P.
2017
Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces. Zbl 1339.46035
Marola, Niko; Ziemer, William P.
2015
Gauss-Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws. Zbl 1158.35062
Chen, Gui-Qiang; Ziemer, William P.; Torres, Monica
2009
Fine behavior of functions whose gradients are in an Orlicz space. Zbl 1176.46033
Malý, Jan; Swanson, David; Ziemer, William P.
2009
The Gauss-Green theorem for weakly differentiable vector fields. Zbl 1145.28010
Ziemer, William P.
2008
Measure-theoretic analysis and nonlinear conservation laws. Zbl 1132.35416
Chen, Gui-Qiang; Torres, Monica; Ziemer, William P.
2007
Local minimizers with vortices to the Ginzburg-Landau system in three dimensions. Zbl 1052.49002
Montero, J. Alberto; Sternberg, Peter; Ziemer, William P.
2004
The image of a weakly differentiable mapping. Zbl 1070.46026
Swanson, David; Ziemer, William P.
2004
The co-area formula for Sobolev mappings. Zbl 1034.46032
Maly, Jan; Swanson, David; Ziemer, William P.
2003
A topological aspect of Sobolev mappings. Zbl 1020.46008
Swanson, David; Ziemer, William P.
2002
Sobolev functions whose inner trace at the boundary is zero. Zbl 1021.46027
Swanson, David; Ziemer, William P.
1999
The obstacle problem for functions of least gradient. Zbl 0936.49024
Ziemer, William P.; Zumbrun, Kevin
1999
Functions of least gradient and BV functions. Zbl 0965.46023
Ziemer, William P.
1999
Equilibrium solutions to generalized motion by mean curvature. Zbl 0941.35028
Ilmanen, Tom; Sternberg, Peter; Ziemer, William P.
1998
Fine regularity of solutions of elliptic partial differential equations. Zbl 0882.35001
Malý, Jan; Ziemer, William P.
1997
Area minimizing sets subject to a volume constraint in a convex set. Zbl 0940.49025
Stredulinsky, Edward; Ziemer, William P.
1997
Generalized motion by curvature with a Dirichlet condition. Zbl 0810.35048
Sternberg, Peter; Ziemer, William P.
1994
Local minimisers of a three-phase partition problem with triple junctions. Zbl 0843.49025
Sternberg, Peter; Zeimer, William P.
1994
The Dirichlet problem for functions of least gradient. Zbl 0818.49024
Sternberg, Peter; Ziemer, William P.
1993
The constrained least gradient problem in $$R^ n$$. Zbl 0788.49034
Sternberg, Peter; Williams, Graham; Ziemer, William P.
1993
A tribute to Wendell H. Fleming. Zbl 0770.01012
Berkovitz, L. D.; Shreve, Steven E.; Ziemer, William P.
1993
Existence, uniqueness, and regularity for functions of least gradient. Zbl 0756.49021
Sternberg, Peter; Williams, Graham; Ziemer, William P.
1992
Lusin’s condition (N) and mappings with nonnegative Jacobians. Zbl 0807.46032
Martio, O.; Ziemer, William P.
1992
Pointwise regularity of solutions to nonlinear double obstacle problems. Zbl 0733.35025
Kilpeläinen, Tero; Ziemer, William P.
1991
Smooth regularity of solutions of double obstacle problems involving degenerate elliptic equations. Zbl 0742.35010
Mu, Jun; Ziemer, William P.
1991
Existence of solutions of obstacle problems. Zbl 0735.35067
Michael, J. H.; Ziemer, William P.
1991
$$C^{1,1}$$-regularity of constrained area minimizing hypersurfaces. Zbl 0743.49016
Sternberg, Peter; Ziemer, William P.; Williams, Graham
1991
Local behavior of solutions of quasilinear elliptic equations with general structure. Zbl 0708.35023
Rakotoson, J. M.; Ziemer, William P.
1990
Weakly differentiable functions. Sobolev spaces and functions of bounded variation. Zbl 0692.46022
Ziemer, William P.
1989
Minimal rearrangements of Sobolev functions. Zbl 0633.46030
Brothers, John E.; Ziemer, William P.
1988
Uniform differentiability of Sobolev functions. Zbl 0677.41033
Ziemer, William P.
1988
Regularity of weak solutions of parabolic variational inequalities. Zbl 0707.49004
Ziemer, William P.
1988
Minimal rearrangements of Sobolev functions. Zbl 0659.46029
Brothers, John E.; Ziemer, William P.
1987
The Wiener criterion and quasilinear uniformly elliptic equations. Zbl 0635.35030
Michael, J. H.; Ziemer, William P.
1987
Interior regularity for solutions to obstacle problems. Zbl 0603.49006
Michael, J. H.; Ziemer, William P.
1986
Geometric measure theory and the axioms of continuum thermodynamics. Zbl 0599.73002
Gurtin, Morton E.; Williams, William O.; Ziemer, William P.
1986
Boundary regularity for quasiminima. Zbl 0611.35030
Ziemer, William P.
1986
A Poincaré-type inequality for solutions of elliptic differential equations. Zbl 0601.35034
Ziemer, William P.
1986
A Lusin type approximation of Sobolev functions by smooth functions. Zbl 0592.41031
Michael, J. H.; Ziemer, William P.
1985
Jacobi fields and regularity of functions of least gradients. Zbl 0605.49027
Parks, Harold R.; Ziemer, William P.
1984
Cauchy flux and sets of finite perimeter. Zbl 0531.73005
Ziemer, William P.
1983
Mean values of subsolutions of elliptic and parabolic equations. Zbl 0552.35008
Ziemer, William P.
1983
Interior and boundary continuity of weak solutions of degenerate parabolic equations. Zbl 0506.35053
Ziemer, William P.
1982
Thermal capacity and boundary regularity. Zbl 0493.35053
Gariepy, Ronald; Ziemer, William P.
1982
Behavior at the boundary of solutions of quasilinear parabolic equations. Zbl 0451.35037
Ziemer, William P.
1980
Removable sets for quasilinear parabolic equations. Zbl 0454.35049
Gariepy, Ronald; Ziemer, William P.
1980
The Dirichlet problem for Euler-Lagrange equations on arbitrary domains. Zbl 0458.35037
Ziemer, William P.
1979
A regularity condition at the boundary for solutions of quasilinear elliptic equations. Zbl 0389.35023
Gariepy, Ronald; Ziemer, William P.
1977
Integral inequalities of Poincaré and Wirtinger type for BV functions. Zbl 0416.46025
Meyers, Norman G.; Ziemer, William P.
1977
Strong differentiability properties of Bessel potentials. Zbl 0361.26005
Deignan, Daniel J.; Ziemer, William P.
1977
A gradient estimate at the boundary for solutions of quasilinear elliptic equations. Zbl 0336.35045
Gariepy, Ronald; Ziemer, William P.
1976
Pointwise differentiability and absolute continuity. Zbl 0295.26013
Bagby, Thomas; Ziemer, William P.
1974
Behavior at the boundary of solutions of quasilinear elliptic equations. Zbl 0297.35032
Gariepy, Ronald; Ziemer, William P.
1974
Some remarks on harmonic measure in space. Zbl 0323.31005
Ziemer, William P.
1974
The Lebesgue set of a function whose distribution derivatives are $$p$$-th power summable. Zbl 0238.28015
Federer, Herbert; Ziemer, William P.
1972
Slices of maps and Lebesgue area. Zbl 0209.08904
Ziemer, W. P.
1972
Extremal length as a capacity. Zbl 0183.39104
Ziemer, W. P.
1970
Higher dimensional mappings for which the area formula holds. Zbl 0204.08001
Goffman, C.; Ziemer, W. P.
1970
Change of variables for absolutely continuous functions. Zbl 0177.08006
Ziemer, William P.
1969
Extremal length and p-capacity. Zbl 0172.38701
Ziemer, W. P.
1969
The area and variation of linearly continuous functions. Zbl 0165.06802
Ziemer, W. P.
1969
Extremal length and conformal capacity. Zbl 0177.34002
Ziemer, W. P.
1967
Some lower bounds for Lebesgue area. Zbl 0156.06104
Ziemer, W. P.
1966
Topologies generated by outer measures. Zbl 0112.28401
Troyer, R. J.; Ziemer, W. P.
1963
Integral currents mod 2. Zbl 0136.03603
Ziemer, W. P.
1962
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#### Cited by 1,898 Authors

 36 Cianchi, Andrea 27 Ziemer, William Paul 25 Lahti, Panu 22 Malý, Jan 21 Koskela, Pekka 18 Dal Maso, Gianni 17 Björn, Jana 17 Caselles Costa, Vicent 17 Xiao, Jie 15 Björn, Anders 14 Mazón Ruiz, José M. 14 Sevost’yanov, Yevgen Oleksandrovych 13 Fonseca, Irene 13 Kilpeläinen, Tero 13 Medková, Dagmar 13 Shanmugalingam, Nageswari 13 Shimomura, Tetsu 12 Ambrosio, Luigi 12 Kristensen, Jan 12 Maz’ya, Vladimir Gilelevich 11 Andreu, Fuensanta 11 Mizuta, Yoshihiro 10 Fusco, Nicola 10 Hencl, Stanislav 10 Kuusi, Tuomo 10 Pick, Luboš 10 Ryazanov, Vladimir Il’ich 9 Bucur, Dorin 9 Buttazzo, Giuseppe 9 Byun, Sun-Sig 9 Casado-Díaz, Juan 9 Parviainen, Mikko 9 Verbitsky, Igor E. 8 Hajłasz, Piotr 8 Heinonen, Juha 8 Kinnunen, Juha 8 Korobkov, Mikhail V. 8 Korte, Riikka 8 Müller, Stefan 8 Nguyễn Văn Hoàng 8 Novaga, Matteo 8 Ohno, Takao 8 Rehberg, Joachim 8 Rybka, Piotr 8 Salimov, Ruslan Radikovich 8 Scheven, Christoph 8 Skrypnik, Igor Igorievich 8 Sternberg, Peter J. 8 Tuominen, Heli 7 Biroli, Marco 7 Calvo-Jurado, Carmen 7 Chambolle, Antonin 7 Daněček, Josef 7 De Cicco, Virginia 7 Feireisl, Eduard 7 Ferone, Adele 7 Gianazza, Ugo Pietro 7 Henao, Duvan A. 7 Hofmann, Steve 7 Jerrard, Robert Leon 7 Lewis, John L. 7 Marola, Niko 7 Martio, Olli 7 Mercaldo, Anna 7 Mosco, Umberto 7 Shlyk, Vladimir Alekseevich 7 Suen, Anthony 7 Van Schaftingen, Jean 7 Yamamoto, Masakazu 6 Abdulla, Ugur G. 6 Caso, Loredana 6 Edmunds, David Eric 6 Ferone, Vincenzo 6 Fiorenza, Alberto 6 Fuchs, Martin 6 Gol’dshtein, Vladimir Mikhailovich 6 Górny, Wojciech 6 Lin, Fang Hua 6 Mingione, Giuseppe 6 Mitidieri, Enzo Luigi 6 Mitrea, Marius 6 Passarelli di Napoli, Antonia 6 Rakotoson, Jean-Michel 6 Segev, Reuven 6 Segura de León, Sergio 6 Spector, Daniel E. 6 Torres, Monica 6 Treu, Giulia 5 Adams, David Randolph 5 Baratchart, Laurent 5 Barroso, Ana Cristina 5 Bogachev, Vladimir Igorevich 5 Bressan, Alberto 5 Brock, Friedemann 5 Chen, Gui-Qiang G. 5 D’Ambrosio, Roberta 5 Defranceschi, Anneliese 5 Dymchenko, Yuriĭ Viktorovich 5 Giga, Yoshikazu 5 Hakkarainen, Heikki ...and 1,798 more Authors
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#### Cited in 276 Serials

 91 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 89 Archive for Rational Mechanics and Analysis 88 Calculus of Variations and Partial Differential Equations 77 Journal of Mathematical Analysis and Applications 74 Journal of Differential Equations 72 Journal of Functional Analysis 54 Transactions of the American Mathematical Society 46 Proceedings of the American Mathematical Society 38 Annali di Matematica Pura ed Applicata. Serie Quarta 37 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 37 The Journal of Geometric Analysis 31 Communications in Partial Differential Equations 31 Potential Analysis 30 Journal of Mathematical Sciences (New York) 29 Journal de Mathématiques Pures et Appliquées. Neuvième Série 27 Advances in Mathematics 27 Manuscripta Mathematica 26 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 23 Nonlinear Analysis. Theory, Methods & Applications 22 Arkiv för Matematik 21 Discrete and Continuous Dynamical Systems 19 Journal d’Analyse Mathématique 19 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 19 NoDEA. Nonlinear Differential Equations and Applications 17 Applicable Analysis 17 Mathematische Zeitschrift 17 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 16 Mathematische Annalen 15 Mathematical Methods in the Applied Sciences 14 Communications in Contemporary Mathematics 13 Communications on Pure and Applied Analysis 12 Ukrainian Mathematical Journal 12 Zeitschrift für Analysis und ihre Anwendungen 12 Revista Matemática Iberoamericana 12 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 12 Revista Matemática Complutense 11 Applied Mathematics and Optimization 11 SIAM Journal on Mathematical Analysis 10 Communications in Mathematical Physics 10 Communications on Pure and Applied Mathematics 10 Indiana University Mathematics Journal 10 Complex Variables and Elliptic Equations 9 Mathematical Notes 9 Mathematische Nachrichten 9 Rendiconti del Seminario Matematico della Università di Padova 9 Siberian Mathematical Journal 9 St. Petersburg Mathematical Journal 8 Israel Journal of Mathematics 8 Annales de l’Institut Fourier 8 Czechoslovak Mathematical Journal 8 Inventiones Mathematicae 8 The Journal of Fourier Analysis and Applications 8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 7 Mathematics of Computation 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 7 Geometric and Functional Analysis. GAFA 7 Bulletin des Sciences Mathématiques 7 Journal of the European Mathematical Society (JEMS) 7 Acta Mathematica Sinica. English Series 7 Boundary Value Problems 7 Advances in Calculus of Variations 6 Acta Mathematica 6 Duke Mathematical Journal 6 Illinois Journal of Mathematics 6 Journal of Optimization Theory and Applications 6 Journal of Evolution Equations 6 Discrete and Continuous Dynamical Systems. Series B 6 Analysis and Geometry in Metric Spaces 6 Advances in Nonlinear Analysis 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Archiv der Mathematik 5 Journal of Computational and Applied Mathematics 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Ricerche di Matematica 5 Acta Applicandae Mathematicae 5 Applied Mathematics Letters 5 Journal of the American Mathematical Society 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Mathematics and Mechanics of Solids 5 Journal of Mathematical Fluid Mechanics 5 Bulletin of the American Mathematical Society 5 Analysis and Mathematical Physics 4 Journal of Computational Physics 4 Numerical Functional Analysis and Optimization 4 Numerische Mathematik 4 Results in Mathematics 4 SIAM Journal on Control and Optimization 4 Chinese Annals of Mathematics. Series B 4 Annals of Global Analysis and Geometry 4 Journal of Scientific Computing 4 Journal of Integral Equations and Applications 4 Applications of Mathematics 4 Journal of Mathematical Imaging and Vision 4 Nonlinear Analysis. Real World Applications 4 Advanced Nonlinear Studies 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Mediterranean Journal of Mathematics 4 Proceedings of the Steklov Institute of Mathematics 4 Journal of Fixed Point Theory and Applications 4 SIAM Journal on Imaging Sciences ...and 176 more Serials
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#### Cited in 51 Fields

 935 Partial differential equations (35-XX) 401 Calculus of variations and optimal control; optimization (49-XX) 385 Functional analysis (46-XX) 226 Real functions (26-XX) 218 Potential theory (31-XX) 165 Functions of a complex variable (30-XX) 124 Measure and integration (28-XX) 117 Mechanics of deformable solids (74-XX) 104 Global analysis, analysis on manifolds (58-XX) 99 Operator theory (47-XX) 99 Differential geometry (53-XX) 95 Fluid mechanics (76-XX) 74 Numerical analysis (65-XX) 67 Harmonic analysis on Euclidean spaces (42-XX) 44 Probability theory and stochastic processes (60-XX) 38 Statistical mechanics, structure of matter (82-XX) 36 Convex and discrete geometry (52-XX) 30 Dynamical systems and ergodic theory (37-XX) 27 Ordinary differential equations (34-XX) 22 Information and communication theory, circuits (94-XX) 20 Approximations and expansions (41-XX) 20 Operations research, mathematical programming (90-XX) 20 Biology and other natural sciences (92-XX) 19 Integral equations (45-XX) 19 Quantum theory (81-XX) 18 Classical thermodynamics, heat transfer (80-XX) 17 Statistics (62-XX) 17 Computer science (68-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Systems theory; control (93-XX) 11 General topology (54-XX) 10 Optics, electromagnetic theory (78-XX) 10 Geophysics (86-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Topological groups, Lie groups (22-XX) 9 Abstract harmonic analysis (43-XX) 7 Mechanics of particles and systems (70-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 4 Relativity and gravitational theory (83-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Algebraic topology (55-XX) 3 Astronomy and astrophysics (85-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Difference and functional equations (39-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX)