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Kinderlehrer, David

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Author ID: kinderlehrer.david Recent zbMATH articles by "Kinderlehrer, David"
Published as: Kinderlehrer, David; Kinderlehrer, D.
Homepage: http://www.math.cmu.edu/math/faculty/kinderlehrerdavid
External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef
Documents Indexed: 113 Publications since 1969, including 3 Books
10 Contributions as Editor · 1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 62 Co-Authors with 93 Joint Publications
2,461 Co-Co-Authors
all top 5

Co-Authors

31 single-authored
10 Hardt, Robert M.
9 Ta’asan, Shlomo
8 Pedregal, Pablo
7 Barmak, Katayun
7 Chipot, Michel
7 Ericksen, Jerald Laverne
7 Kowalczyk, Michał
7 Nirenberg, Louis
6 Emelianenko, Maria
5 Jordan, Richard
5 Lin, Fang Hua
5 Stampacchia, Guido
4 Brézis, Haïm
4 Eggeling, Eva
4 Epshteyn, Yekaterina
4 Hastings, Stuart P.
4 James, Richard D.
4 Otto, Felix
4 Spruck, Joel
3 Dafermos, Constantine M.
3 Golovaty, Dmitry
3 Luskin, Mitchell
3 Ma, Ling
2 Caffarelli, Luis Ángel
2 Collins, Charles R.
2 Fonseca, Irene
2 Friedman, Avner
2 Kohn, Robert Vita
2 Livshits, Irene
2 McLeod, John Bryce
2 Ou, Biao
2 Sharp, Richard W.
2 Slemrod, Marshall
2 Vergara Caffarelli, Giorgio
2 Walkington, Noel J.
1 Agmon, Shmuel
1 Antman, Stuart S.
1 Ball, John MacLeod
1 Bardsley, Patrick
1 Berestycki, Henri
1 Birindelli, Isabeau
1 Blanchet, Adrien
1 Bona, Jerry Lloyd
1 Bowick, Mark J.
1 Carrillo de la Plata, José Antonio
1 Chang, Kung-Ching
1 Chang, Sun-Yung Alice
1 Guedes de Figueiredo, Djairo
1 Dolbeault, Jean
1 Ekeland, Ivar
1 Fefferman, Charles Louis
1 Gastaldi, Fabio
1 Heath, David C.
1 Hildebrandt, Stefan
1 Hilhorst, Danielle
1 Klainerman, Sergiu
1 Kohn, Joseph J.
1 Laurençot, Philippe
1 Lax, Peter David
1 Li, YanYan
1 Lions, Jacques-Louis
1 Lisini, Stefano
1 Liu, Chun
1 Mason, Darren E.
1 Menon, Govind K.
1 Miranda, Mario J.
1 Monsaingeon, Léonard
1 Müller, Ingo
1 Ni, Wei-Ming
1 Olech, Michał
1 Podio-Guidugli, Paulo
1 Rabinowitz, Paul Henry
1 Radin, Charles
1 Shatah, Jalal
1 Tarantello, Gabriella
1 Tian, Gang
1 Torres, Claudio E.
1 Tudorascu, Adrian
1 Varadhan, S. R. Srinivasa
1 Xu, Xiang
1 Yau, Shing-Tung
all top 5

Serials

7 The IMA Volumes in Mathematics and its Applications
5 Archive for Rational Mechanics and Analysis
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 SIAM Journal on Mathematical Analysis
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 Indiana University Mathematics Journal
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Discrete and Continuous Dynamical Systems. Series B
3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 Communications on Pure and Applied Mathematics
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Applied Mathematics and Optimization
2 SIAM Journal on Scientific Computing
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Bulletin of the American Mathematical Society
1 Communications in Mathematical Physics
1 Journal of the Mechanics and Physics of Solids
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Journal of Differential Equations
1 Meccanica
1 Numerische Mathematik
1 Pacific Journal of Mathematics
1 Ricerche di Matematica
1 SIAM Journal on Numerical Analysis
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Physica D
1 Asymptotic Analysis
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 The Journal of Geometric Analysis
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Communications in Partial Differential Equations
1 Journal of Elasticity
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 SIAM Journal on Applied Mathematics
1 Notices of the American Mathematical Society
1 Journal of Nonlinear Science
1 Calculus of Variations and Partial Differential Equations
1 Discrete and Continuous Dynamical Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 International Journal of Numerical Analysis and Modeling
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Journal of Mathematics and Mechanics
1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
1 Classics in Applied Mathematics
1 Lecture Notes in Mathematics
1 IAS/Park City Mathematics Series
1 Differential Equations and Applications

Publications by Year

Citations contained in zbMATH Open

102 Publications have been cited 3,973 times in 3,338 Documents Cited by Year
An introduction to variational inequalities and their applications. Zbl 0457.35001
Kinderlehrer, David; Stampacchia, Guido
1980
The variational formulation of the Fokker-Planck equation. Zbl 0915.35120
Jordan, Richard; Kinderlehrer, David; Otto, Felix
476
1998
An introduction to variational inequalities and their applications. Reprint of the 1980 original. Zbl 0988.49003
Kinderlehrer, David; Stampacchia, Guido
337
2000
Existence and partial regularity of static liquid crystal configurations. Zbl 0611.35077
Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua
137
1986
Characterizations of Young measures generated by gradients. Zbl 0754.49020
Kinderlehrer, David; Pedregal, Pablo
125
1991
Regularity in free boundary problems. Zbl 0352.35023
Kinderlehrer, D.; Nirenberg, Louis
116
1977
Equilibrium configurations of crystals. Zbl 0673.73012
Chipot, Michel; Kinderlehrer, David
106
1988
Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046
Kinderlehrer, David; Pedregal, Pablo
93
1994
The smoothness of solutions to nonlinear variational inequalities. Zbl 0278.49011
Brézis, Haïm; Kinderlehrer, David
80
1974
Regularity in elliptic free boundary problems. I. Zbl 0402.35045
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
59
1978
A one phase Stefan problem. Zbl 0334.49002
Friedman, Avner; Kinderlehrer, David
55
1975
Weak convergence of integrands and the Young measure representation. Zbl 0757.49014
Kinderlehrer, David; Pedregal, Pablo
47
1992
Potential methods in variational inequalities. Zbl 0455.49010
Caffarelli, L. A.; Kinderlehrer, D.
41
1980
Stable defects of minimizers of constrained variational principles. Zbl 0657.49018
Hardt, R.; Kinderlehrer, D.; Lin, Fang-Hua
38
1988
Smoothness of linear laminates. Zbl 0617.73062
Chipot, Michel; Kinderlehrer, David; Caffarelli, Giorgio Vergara
37
1986
Sur une nouvelle formulation du problème de l’ecoulement à travers une digue. Zbl 0391.76072
Brézis, Haïm; Kinderlehrer, David; Stampacchia, Guido
36
1978
Theory of diffusionless phase transitions. Zbl 0991.74504
James, Richard; Kinderlehrer, David
27
1989
The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060
Kinderlehrer, David; Nirenberg, Louis
27
1978
Remarks about Signorini’s problem in linear elasticity. Zbl 0482.73017
Kinderlehrer, David
26
1981
Evolution of grain boundaries. Zbl 1036.74041
Kinderlehrer, David; Liu, Chun
26
2001
The smoothness of the solution of the boundary obstacle problem. Zbl 0459.35092
Kinderlehrer, David
24
1981
Remarks about equilibrium configurations of crystals. Zbl 0850.73037
Kinderlehrer, David
23
1988
Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045
Kinderlehrer, David; Nirenberg, Louis
22
1978
A hybrid variational principle for the Keller-Segel system in \(\mathbb{R}^{2}\). Zbl 1334.35086
Blanchet, Adrien; Carrillo, José Antonio; Kinderlehrer, David; Kowalczyk, Michał; Laurençot, Philippe; Lisini, Stefano
22
2015
Approximation of parabolic equations using the Wasserstein metric. Zbl 0936.65121
Kinderlehrer, David; Walkington, Noel J.
21
1999
Elastic plastic deformation. Zbl 0522.73029
Hardt, Robert; Kinderlehrer, David
21
1983
Numerical approximation of the solution of a variational problem with a double well potential. Zbl 0725.65067
Collins, Charles; Kinderlehrer, David; Luskin, Mitchell
21
1991
Free energy and the Fokker-Planck equation. Zbl 1029.82507
Jordan, Richard; Kinderlehrer, David; Otto, Felix
20
1997
Variational inequalities and free boundary problems. Zbl 0382.35004
Kinderlehrer, David
19
1978
Numerical analysis of oscillations in multiple well problems. Zbl 0824.65045
Chipot, M.; Collins, C.; Kinderlehrer, D.
18
1995
The shape and smoothness of stable plasma configurations. Zbl 0409.76095
Kinderlehrer, David; Spruck, Joel
17
1978
Mathematical questions of liquid crystal theory. Zbl 0704.76005
Hardt, R.; Kinderlehrer, D.
17
1988
The coincidence set of solutions of certain variational inequalities. Zbl 0219.49014
Kinderlehrer, D.
17
1971
Theory and applications of liquid crystals. Zbl 0713.76006
15
1987
How a minimal surface leaves an obstacle. Zbl 0268.49050
Kinderlehrer, David
15
1973
A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations. Zbl 1372.35167
Kinderlehrer, David; Monsaingeon, Léonard; Xu, Xiang
14
2017
Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
14
1994
Diffusion-mediated transport and the flashing ratchet. Zbl 1065.76183
Kinderlehrer, David; Kowalczyk, Michał
13
2002
A variational approach to modeling and simulation of grain growth. Zbl 1126.82044
Kinderlehrer, David; Livshits, Irene; Ta’asan, Shlomo
13
2006
An introduction to variational inequalities and their applications. (Vvedenie v variatsionnye neravenstva i ikh prilozheniya). Transl. from the English. Zbl 0551.35003
Kinderlehrer, David; Stampacchia, Guido
12
1983
The free boundary determined by the solution to a differential equation. Zbl 0336.35031
Kinderlehrer, David
11
1976
Some regularity results in ferromagnetism. Zbl 0958.35136
Hardt, Robert; Kinderlehrer, David
10
2000
The variety of configurations of static liquid crystals. Zbl 0723.58018
Hardt, Robert; Kinderlehrer, David; Lin, Fang Hau
10
1990
A variational principle for molecular motors. Zbl 1032.92005
Chipot, Michel; Kinderlehrer, David; Kowalczyk, Michal
10
2003
Variational inequalities with lower dimensional obstacles. Zbl 0263.49008
Kinderlehrer, David
10
1971
Remarks about the flashing rachet. Zbl 1064.35065
Dolbeault, Jean; Kinderlehrer, David; Kowalczyk, Michał
9
2004
Recent developments in liquid crystal theory. Zbl 0729.76009
Kinderlehrer, D.
8
1991
Transport in a molecular motor system. Zbl 1077.35060
Chipot, Michel; Hastings, Stuart; Kinderlehrer, David
8
2004
Regularity in elliptic free boundary problems. II: Equations of higher order. Zbl 0425.35097
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
7
1979
Towards a statistical theory of texture evolution in polycrystals. Zbl 1186.37095
Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S.
7
2008
Minimal surfaces whose boundaries contain spikes. Zbl 0193.39301
Kinderlehrer, D.
6
1970
The elementary defects of the Oseen-Frank energy for a liquid crystal. Zbl 0784.35085
Kinderlehrer, David; Ou, Biao; Walkington, Nöel
6
1993
Second variation of liquid crystal energy at \(x/ |{}x|{} \). Zbl 0761.49012
Kinderlehrer, David; Ou, Biao
5
1992
The regularity of minimal surfaces defined over slit domains. Zbl 0214.10503
Kinderlehrer, D.
5
1971
An extended variational principle. Zbl 0852.49003
Jordan, Richard; Kinderlehrer, David
5
1996
Remarks about the mathematical theory of liquid crystals. Zbl 0696.49053
Hardt, Robert; Kinderlehrer, David; Luskin, Mitchell
5
1988
Remarks about the analysis of gradient Young measures. Zbl 0833.49012
Kinderlehrer, David; Pedregal, P.
5
1992
An entropy based theory of the grain boundary character distribution. Zbl 1230.37098
Barmak, Katayun; Eggeling, Eva; Emelianenko, Maria; Epshteyn, Yekaterina; Kinderlehrer, David; Sharp, Richard; Ta’asan, Shlomo
5
2011
Estimates for the solution and its stability in Signorini’s problem. Zbl 0487.73126
Kinderlehrer, David
4
1982
Régularité dans les problèmes elliptiques à frontière libre. Zbl 0386.35045
Kinderlehrer, David; Nirenberg, Louis; Spruck, Joel
4
1978
The boundary regularity of minimal surfaces. Zbl 0185.34603
Kinderlehrer, D.
4
1969
Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
4
1993
Twinning of crystals. II. Zbl 0638.73007
Kinderlehrer, David
4
1987
Diffusion mediated transport in multiple state systems. Zbl 1157.34039
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
4
2007
Diffusion mediated transport with a look at motor proteins. Zbl 1351.35069
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
4
2008
The Janossy effect and hybrid variational principles. Zbl 1154.35369
Kinderlehrer, David; Kowalczyk, Michał
4
2009
Contraction in \(L^{1}\) for a system arising in chemical reactions and molecular motors. Zbl 1171.35408
Chipot, Michel; Hilhorst, Danielle; Kinderlehrer, David; Olech, Michał
4
2009
Metastability and incompletely posed problems. (Proceedings of a workshop held during the IMA 1984-85 program on continuum physics and partial differential equations, University of Minnesota, Minneapolis). Zbl 0604.00008
3
1987
Discrete and continuous ratchets: From coin toss to molecular motor. Zbl 1009.35037
Heath, David; Kinderlehrer, David; Kowalczyk, Michał
3
2002
Caractérisation des mesures de Young associées à un gradient. (Characterization of gradient Young measures). Zbl 0759.49005
Kinderlehrer, David; Pedregal, Pablo
3
1991
Hodograph methods and the smoothness of the free boundary in the one phase Stefan problem. Zbl 0456.35090
Kinderlehrer, David; Nirenberg, Louis
3
1978
The reflaxation of functionals with surface energies. Zbl 0696.49007
Kinderlehrer, David; Vergara-Caffarelli, Giorgio
3
1989
Fundamental contributions to the continuum theory of evolving phase interfaces in solids. A collection of reprints of 14 seminal papers, dedicated to Morton E. Gurtin on the occasion of his sixty-fifth birthday. Zbl 0968.74003
3
1999
Frustration and microstructure: An example in magnetostriction. Zbl 0797.49037
James, R. D.; Kinderlehrer, D.
3
1993
A free boundary value problem in potential theory. Zbl 0303.31003
Kinderlehrer, David; Stampacchia, Guido
3
1975
A class of parabolic quasi-variational inequalities. Zbl 0323.35042
Friedman, Avner; Kinderlehrer, David
3
1976
Mathematics and materials. Lectures presented at the IAS/Park City Mathematics Institute (PCMI) Graduate Summer School, Park City, UT, USA, July 2014. Zbl 1375.82010
3
2017
The smoothness of free boundaries governed by elliptic equations and systems. Zbl 0485.35084
Kinderlehrer, D.
2
1980
Towards a gradient flow for microstructure. Zbl 1380.37137
Bardsley, Patrick; Barmak, Katayun; Eggeling, Eva; Epshteyn, Yekaterina; Kinderlehrer, David; Ta’asan, Shlomo
2
2017
Variational principles with linear growth. Zbl 0706.49001
Hardt, Robert; Kinderlehrer, David
2
1989
The partially supported elastic beam. Zbl 0514.73042
Gastaldi, Fabio; Kinderlehrer, David
2
1983
Phase transitions in crystals: Towards the analysis of microstructure. Zbl 0731.73074
Kinderlehrer, D.
2
1990
Remarks about gradient Young measures generated by sequences in Sobolev spaces. Zbl 0828.46031
Kinderlehrer, David; Pedregal, P.
2
1994
The hysteretic event in the computation of magnetization. Zbl 0873.65114
Kinderlehrer, David; Ma, Ling
2
1997
Transport via mass transportation. Zbl 1100.35028
Kinderlehrer, David; Tudorascu, Adrian
2
2006
A new perspective on texture evolution. Zbl 1159.82317
Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S.
2
2008
How a minimal surface leaves an obstacle. Zbl 0262.53003
Kinderlehrer, David
2
1972
The regularity of the solution to a certain variational inequality. Zbl 0273.35027
Kinderlehrer, David
2
1973
Elliptic variational inequalities. Zbl 0356.35023
Kinderlehrer, David
2
1975
Some regularity results in plasticity. Zbl 0591.73047
Hardt, Robert M.; Kinderlehrer, David
1
1986
Remarks about St. Venant solutions in finite elasticity. Zbl 0605.73031
Kinderlehrer, David
1
1986
Existence et régularité des configurations statiques des cristaux liquides. (Existence and smoothness of static liquid crystal configurations). Zbl 0614.35072
Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua
1
1985
Homogenization and effective moduli of materials and media. (Proceedings of a Workshop which was an integral part of the 1984-85 IMA program on Continuum Physics and Partial Differential Equations, University of Minnesota, Minneapolis). Zbl 0622.00024
1
1986
A relation between semi-inverse and Saint-Venant solutions for prisms. Zbl 0628.35035
Kinderlehrer, David
1
1986
The hysteretic event in the computation of magnetism and magnetostriction. Zbl 0939.35182
Kinderlehrer, D.; Ma, L.
1
1998
Remarks about Signorini’s problem. Zbl 0494.35039
Kinderlehrer, David
1
1982
Magnetoelastic interactions. Zbl 0864.73057
Kinderlehrer, David
1
1996
Magnetoelastic interactions. Zbl 0894.73131
James, R.; Kinderlehrer, David
1
1996
Remarks on a multiscale approach to grain growth in polycrystals. Zbl 1105.74006
Barmak, Katayun; Kinderlehrer, David; Livshits, Irine; Ta’asan, Shlomo
1
2006
Remarks about diffusion mediated transport: thinking about motion in small systems. Zbl 1099.35005
Hastings, S.; Kinderlehrer, D.
1
2005
A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations. Zbl 1372.35167
Kinderlehrer, David; Monsaingeon, Léonard; Xu, Xiang
14
2017
Mathematics and materials. Lectures presented at the IAS/Park City Mathematics Institute (PCMI) Graduate Summer School, Park City, UT, USA, July 2014. Zbl 1375.82010
3
2017
Towards a gradient flow for microstructure. Zbl 1380.37137
Bardsley, Patrick; Barmak, Katayun; Eggeling, Eva; Epshteyn, Yekaterina; Kinderlehrer, David; Ta’asan, Shlomo
2
2017
A hybrid variational principle for the Keller-Segel system in \(\mathbb{R}^{2}\). Zbl 1334.35086
Blanchet, Adrien; Carrillo, José Antonio; Kinderlehrer, David; Kowalczyk, Michał; Laurençot, Philippe; Lisini, Stefano
22
2015
Numerical analysis of the vertex models for simulating grain boundary networks. Zbl 1344.37083
Torres, C. E.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S.
1
2015
An entropy based theory of the grain boundary character distribution. Zbl 1230.37098
Barmak, Katayun; Eggeling, Eva; Emelianenko, Maria; Epshteyn, Yekaterina; Kinderlehrer, David; Sharp, Richard; Ta’asan, Shlomo
5
2011
The Janossy effect and hybrid variational principles. Zbl 1154.35369
Kinderlehrer, David; Kowalczyk, Michał
4
2009
Contraction in \(L^{1}\) for a system arising in chemical reactions and molecular motors. Zbl 1171.35408
Chipot, Michel; Hilhorst, Danielle; Kinderlehrer, David; Olech, Michał
4
2009
Geometric growth and character development in large metastable networks. Zbl 1180.37120
Barmak, K; Eggeling, E.; Emelianenko, M.; Epshteyn, Y.; Kinderlehrer, D.; Ta’asan, S.
1
2009
Towards a statistical theory of texture evolution in polycrystals. Zbl 1186.37095
Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S.
7
2008
Diffusion mediated transport with a look at motor proteins. Zbl 1351.35069
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
4
2008
A new perspective on texture evolution. Zbl 1159.82317
Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S.
2
2008
Diffusion mediated transport in multiple state systems. Zbl 1157.34039
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
4
2007
A variational approach to modeling and simulation of grain growth. Zbl 1126.82044
Kinderlehrer, David; Livshits, Irene; Ta’asan, Shlomo
13
2006
Transport via mass transportation. Zbl 1100.35028
Kinderlehrer, David; Tudorascu, Adrian
2
2006
Remarks on a multiscale approach to grain growth in polycrystals. Zbl 1105.74006
Barmak, Katayun; Kinderlehrer, David; Livshits, Irine; Ta’asan, Shlomo
1
2006
Remarks about diffusion mediated transport: thinking about motion in small systems. Zbl 1099.35005
Hastings, S.; Kinderlehrer, D.
1
2005
Remarks about the flashing rachet. Zbl 1064.35065
Dolbeault, Jean; Kinderlehrer, David; Kowalczyk, Michał
9
2004
Transport in a molecular motor system. Zbl 1077.35060
Chipot, Michel; Hastings, Stuart; Kinderlehrer, David
8
2004
A variational principle for molecular motors. Zbl 1032.92005
Chipot, Michel; Kinderlehrer, David; Kowalczyk, Michal
10
2003
Diffusion-mediated transport and the flashing ratchet. Zbl 1065.76183
Kinderlehrer, David; Kowalczyk, Michał
13
2002
Discrete and continuous ratchets: From coin toss to molecular motor. Zbl 1009.35037
Heath, David; Kinderlehrer, David; Kowalczyk, Michał
3
2002
Evolution of grain boundaries. Zbl 1036.74041
Kinderlehrer, David; Liu, Chun
26
2001
An introduction to variational inequalities and their applications. Reprint of the 1980 original. Zbl 0988.49003
Kinderlehrer, David; Stampacchia, Guido
337
2000
Some regularity results in ferromagnetism. Zbl 0958.35136
Hardt, Robert; Kinderlehrer, David
10
2000
Approximation of parabolic equations using the Wasserstein metric. Zbl 0936.65121
Kinderlehrer, David; Walkington, Noel J.
21
1999
Fundamental contributions to the continuum theory of evolving phase interfaces in solids. A collection of reprints of 14 seminal papers, dedicated to Morton E. Gurtin on the occasion of his sixty-fifth birthday. Zbl 0968.74003
3
1999
The variational formulation of the Fokker-Planck equation. Zbl 0915.35120
Jordan, Richard; Kinderlehrer, David; Otto, Felix
476
1998
The hysteretic event in the computation of magnetism and magnetostriction. Zbl 0939.35182
Kinderlehrer, D.; Ma, L.
1
1998
Free energy and the Fokker-Planck equation. Zbl 1029.82507
Jordan, Richard; Kinderlehrer, David; Otto, Felix
20
1997
The hysteretic event in the computation of magnetization. Zbl 0873.65114
Kinderlehrer, David; Ma, Ling
2
1997
An extended variational principle. Zbl 0852.49003
Jordan, Richard; Kinderlehrer, David
5
1996
Magnetoelastic interactions. Zbl 0864.73057
Kinderlehrer, David
1
1996
Magnetoelastic interactions. Zbl 0894.73131
James, R.; Kinderlehrer, David
1
1996
Numerical analysis of oscillations in multiple well problems. Zbl 0824.65045
Chipot, M.; Collins, C.; Kinderlehrer, D.
18
1995
Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046
Kinderlehrer, David; Pedregal, Pablo
93
1994
Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
14
1994
Remarks about gradient Young measures generated by sequences in Sobolev spaces. Zbl 0828.46031
Kinderlehrer, David; Pedregal, P.
2
1994
The elementary defects of the Oseen-Frank energy for a liquid crystal. Zbl 0784.35085
Kinderlehrer, David; Ou, Biao; Walkington, Nöel
6
1993
Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
4
1993
Frustration and microstructure: An example in magnetostriction. Zbl 0797.49037
James, R. D.; Kinderlehrer, D.
3
1993
Weak convergence of integrands and the Young measure representation. Zbl 0757.49014
Kinderlehrer, David; Pedregal, Pablo
47
1992
Second variation of liquid crystal energy at \(x/ |{}x|{} \). Zbl 0761.49012
Kinderlehrer, David; Ou, Biao
5
1992
Remarks about the analysis of gradient Young measures. Zbl 0833.49012
Kinderlehrer, David; Pedregal, P.
5
1992
Characterizations of Young measures generated by gradients. Zbl 0754.49020
Kinderlehrer, David; Pedregal, Pablo
125
1991
Numerical approximation of the solution of a variational problem with a double well potential. Zbl 0725.65067
Collins, Charles; Kinderlehrer, David; Luskin, Mitchell
21
1991
Recent developments in liquid crystal theory. Zbl 0729.76009
Kinderlehrer, D.
8
1991
Caractérisation des mesures de Young associées à un gradient. (Characterization of gradient Young measures). Zbl 0759.49005
Kinderlehrer, David; Pedregal, Pablo
3
1991
The variety of configurations of static liquid crystals. Zbl 0723.58018
Hardt, Robert; Kinderlehrer, David; Lin, Fang Hau
10
1990
Phase transitions in crystals: Towards the analysis of microstructure. Zbl 0731.73074
Kinderlehrer, D.
2
1990
Theory of diffusionless phase transitions. Zbl 0991.74504
James, Richard; Kinderlehrer, David
27
1989
The reflaxation of functionals with surface energies. Zbl 0696.49007
Kinderlehrer, David; Vergara-Caffarelli, Giorgio
3
1989
Variational principles with linear growth. Zbl 0706.49001
Hardt, Robert; Kinderlehrer, David
2
1989
Equilibrium configurations of crystals. Zbl 0673.73012
Chipot, Michel; Kinderlehrer, David
106
1988
Stable defects of minimizers of constrained variational principles. Zbl 0657.49018
Hardt, R.; Kinderlehrer, D.; Lin, Fang-Hua
38
1988
Remarks about equilibrium configurations of crystals. Zbl 0850.73037
Kinderlehrer, David
23
1988
Mathematical questions of liquid crystal theory. Zbl 0704.76005
Hardt, R.; Kinderlehrer, D.
17
1988
Remarks about the mathematical theory of liquid crystals. Zbl 0696.49053
Hardt, Robert; Kinderlehrer, David; Luskin, Mitchell
5
1988
Theory and applications of liquid crystals. Zbl 0713.76006
15
1987
Twinning of crystals. II. Zbl 0638.73007
Kinderlehrer, David
4
1987
Metastability and incompletely posed problems. (Proceedings of a workshop held during the IMA 1984-85 program on continuum physics and partial differential equations, University of Minnesota, Minneapolis). Zbl 0604.00008
3
1987
Existence and partial regularity of static liquid crystal configurations. Zbl 0611.35077
Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua
137
1986
Smoothness of linear laminates. Zbl 0617.73062
Chipot, Michel; Kinderlehrer, David; Caffarelli, Giorgio Vergara
37
1986
Some regularity results in plasticity. Zbl 0591.73047
Hardt, Robert M.; Kinderlehrer, David
1
1986
Remarks about St. Venant solutions in finite elasticity. Zbl 0605.73031
Kinderlehrer, David
1
1986
Homogenization and effective moduli of materials and media. (Proceedings of a Workshop which was an integral part of the 1984-85 IMA program on Continuum Physics and Partial Differential Equations, University of Minnesota, Minneapolis). Zbl 0622.00024
1
1986
A relation between semi-inverse and Saint-Venant solutions for prisms. Zbl 0628.35035
Kinderlehrer, David
1
1986
Existence et régularité des configurations statiques des cristaux liquides. (Existence and smoothness of static liquid crystal configurations). Zbl 0614.35072
Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua
1
1985
Elastic plastic deformation. Zbl 0522.73029
Hardt, Robert; Kinderlehrer, David
21
1983
An introduction to variational inequalities and their applications. (Vvedenie v variatsionnye neravenstva i ikh prilozheniya). Transl. from the English. Zbl 0551.35003
Kinderlehrer, David; Stampacchia, Guido
12
1983
The partially supported elastic beam. Zbl 0514.73042
Gastaldi, Fabio; Kinderlehrer, David
2
1983
Estimates for the solution and its stability in Signorini’s problem. Zbl 0487.73126
Kinderlehrer, David
4
1982
Remarks about Signorini’s problem. Zbl 0494.35039
Kinderlehrer, David
1
1982
Remarks about Signorini’s problem in linear elasticity. Zbl 0482.73017
Kinderlehrer, David
26
1981
The smoothness of the solution of the boundary obstacle problem. Zbl 0459.35092
Kinderlehrer, David
24
1981
An introduction to variational inequalities and their applications. Zbl 0457.35001
Kinderlehrer, David; Stampacchia, Guido
1980
Potential methods in variational inequalities. Zbl 0455.49010
Caffarelli, L. A.; Kinderlehrer, D.
41
1980
The smoothness of free boundaries governed by elliptic equations and systems. Zbl 0485.35084
Kinderlehrer, D.
2
1980
Regularity in elliptic free boundary problems. II: Equations of higher order. Zbl 0425.35097
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
7
1979
Regularity in elliptic free boundary problems. I. Zbl 0402.35045
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
59
1978
Sur une nouvelle formulation du problème de l’ecoulement à travers une digue. Zbl 0391.76072
Brézis, Haïm; Kinderlehrer, David; Stampacchia, Guido
36
1978
The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060
Kinderlehrer, David; Nirenberg, Louis
27
1978
Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045
Kinderlehrer, David; Nirenberg, Louis
22
1978
Variational inequalities and free boundary problems. Zbl 0382.35004
Kinderlehrer, David
19
1978
The shape and smoothness of stable plasma configurations. Zbl 0409.76095
Kinderlehrer, David; Spruck, Joel
17
1978
Régularité dans les problèmes elliptiques à frontière libre. Zbl 0386.35045
Kinderlehrer, David; Nirenberg, Louis; Spruck, Joel
4
1978
Hodograph methods and the smoothness of the free boundary in the one phase Stefan problem. Zbl 0456.35090
Kinderlehrer, David; Nirenberg, Louis
3
1978
Regularity in free boundary problems. Zbl 0352.35023
Kinderlehrer, D.; Nirenberg, Louis
116
1977
The free boundary determined by the solution to a differential equation. Zbl 0336.35031
Kinderlehrer, David
11
1976
A class of parabolic quasi-variational inequalities. Zbl 0323.35042
Friedman, Avner; Kinderlehrer, David
3
1976
A one phase Stefan problem. Zbl 0334.49002
Friedman, Avner; Kinderlehrer, David
55
1975
A free boundary value problem in potential theory. Zbl 0303.31003
Kinderlehrer, David; Stampacchia, Guido
3
1975
Elliptic variational inequalities. Zbl 0356.35023
Kinderlehrer, David
2
1975
The smoothness of solutions to nonlinear variational inequalities. Zbl 0278.49011
Brézis, Haïm; Kinderlehrer, David
80
1974
How a minimal surface leaves an obstacle. Zbl 0268.49050
Kinderlehrer, David
15
1973
The regularity of the solution to a certain variational inequality. Zbl 0273.35027
Kinderlehrer, David
2
1973
How a minimal surface leaves an obstacle. Zbl 0262.53003
Kinderlehrer, David
2
1972
The coincidence set of solutions of certain variational inequalities. Zbl 0219.49014
Kinderlehrer, D.
17
1971
Variational inequalities with lower dimensional obstacles. Zbl 0263.49008
Kinderlehrer, David
10
1971
The regularity of minimal surfaces defined over slit domains. Zbl 0214.10503
Kinderlehrer, D.
5
1971
...and 2 more Documents
all top 5

Cited by 3,438 Authors

81 Noor, Muhammad Aslam
51 Yao, Jen-Chih
36 Nagurney, Anna
32 Carrillo de la Plata, José Antonio
29 Chipot, Michel
29 Shehu, Yekini
28 Dang Van Hieu
27 Kinderlehrer, David
26 Sofonea, Mircea
25 Ceng, Lu-Chuan
25 Noor, Khalida Inayat
24 Caffarelli, Luis Ángel
21 Savaré, Giuseppe
20 Ansari, Qamrul Hasan
20 Dương Việt Thông
19 Mielke, Alexander
18 Friedman, Avner
17 Brenner, Susanne Cecelia
17 Byun, Sun-Sig
17 Le, Vy Khoi
17 Pedregal, Pablo
17 Shahgholian, Henrik
16 Han, Weimin
16 Hintermüller, Michael
15 Matthes, Daniel
15 Migórski, Stanisław
14 Bnouhachem, Abdellah
14 Cho, Yeol Je
14 Peletier, Mark Adriaan
14 Verma, Ram U.
14 Vuong, Phan Tu
14 Wen, Chingfeng
13 Cojocaru, Monica-Gabriela
13 Fonseca, Irene
13 Gwinner, Joachim
13 Kružík, Martin
13 Vázquez Cendón, Carlos
13 Zhang, Kewei
12 Ambrosio, Luigi
12 Carlier, Guillaume
12 Gibali, Aviv
12 Iiduka, Hideaki
12 Lin, Fang Hua
12 Ortiz, Michael
12 Santambrogio, Filippo
12 Serfaty, Sylvia
12 Nguyen Dong Yen
11 Al-Said, Eisa A.
11 Dolzmann, Georg
11 Gudi, Thirupathi
11 Huang, Nan-Jing
11 Iyiola, Olaniyi Samuel
11 Otárola, Enrique
10 Bayada, Guy
10 Daniele, Patrizia
10 Dong, June
10 Dong, Qiaoli
10 Hardt, Robert M.
10 Li, Wuchen
10 Liu, Chun
10 Maas, Jan
10 Pastukhova, Svetlana Evgenievna
10 Rodrigues, José Francisco
10 Zinsl, Jonathan
9 Brézis, Haïm
9 Cancès, Clément
9 Carstensen, Carsten
9 De Silva, Daniela
9 Diaz Diaz, Jesus Ildefonso
9 Erbar, Matthias
9 Frehse, Jens
9 Fuchs, Martin
9 Kim, Inwon Christina
9 Kumam, Poom
9 Porwal, Kamana
9 Raciti, Fabio
9 Sychev, Mikhail A.
9 Yao, Yonghong
9 Zhikov, Vasiliĭ Vasil’evich
8 Agueh, Martial
8 Blanchet, Adrien
8 Canevari, Giacomo
8 Conti, Sergio
8 Ding, Xie Ping
8 Gallouët, Thomas O.
8 Kristensen, Jan
8 Liou, Yeongcheng
8 Luskin, Mitchell
8 Monsaingeon, Léonard
8 Muu, Le Dung
8 Nochetto, Ricardo Horacio
8 Pham Ky Anh
8 Roubíček, Tomáš
8 Sturm, Karl-Theodor
8 Temam, Roger Meyer
8 Wang, Changyou
8 Wong, Ngai-Ching
8 Yan, Baisheng
7 Bhattacharya, Kaushik
7 Carrillo Menéndez, José
...and 3,338 more Authors
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Cited in 427 Serials

124 Archive for Rational Mechanics and Analysis
118 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
111 Journal of Optimization Theory and Applications
108 Calculus of Variations and Partial Differential Equations
104 Journal of Mathematical Analysis and Applications
79 Journal of Differential Equations
52 SIAM Journal on Mathematical Analysis
51 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
50 Journal of Computational and Applied Mathematics
49 Computers & Mathematics with Applications
49 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
49 Communications in Partial Differential Equations
46 Nonlinear Analysis. Theory, Methods & Applications
45 Applied Mathematics and Optimization
41 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
41 Applied Mathematics and Computation
39 Numerische Mathematik
38 Optimization
35 Journal of Functional Analysis
34 Numerical Functional Analysis and Optimization
33 Computer Methods in Applied Mechanics and Engineering
31 Applied Mathematics Letters
31 Journal of Global Optimization
30 Journal de Mathématiques Pures et Appliquées. Neuvième Série
30 Journal of Inequalities and Applications
29 Transactions of the American Mathematical Society
27 Discrete and Continuous Dynamical Systems
27 Fixed Point Theory and Applications
25 SIAM Journal on Control and Optimization
25 European Journal of Operational Research
24 Annali di Matematica Pura ed Applicata. Serie Quarta
23 Manuscripta Mathematica
23 Proceedings of the American Mathematical Society
23 Applied Numerical Mathematics
23 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
22 Journal of Mathematical Sciences (New York)
22 Optimization Letters
21 Applicable Analysis
21 Advances in Mathematics
21 Abstract and Applied Analysis
20 Mathematical Methods in the Applied Sciences
20 The Journal of Geometric Analysis
19 SIAM Journal on Numerical Analysis
19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
19 Journal of Nonlinear Science
19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
18 Communications in Mathematical Physics
18 Journal of Computational Physics
18 Mathematics of Computation
18 Mathematical and Computer Modelling
18 Journal of Scientific Computing
17 Communications on Pure and Applied Mathematics
17 Mathematical Programming. Series A. Series B
16 Computational Optimization and Applications
15 ZAMP. Zeitschrift für angewandte Mathematik und Physik
15 Inventiones Mathematicae
15 European Journal of Applied Mathematics
15 Numerical Algorithms
14 Journal of the Mechanics and Physics of Solids
14 Physica D
14 SIAM Journal on Applied Mathematics
13 RAIRO. Modélisation Mathématique et Analyse Numérique
13 Potential Analysis
13 Nonlinear Analysis. Real World Applications
12 Journal d’Analyse Mathématique
12 Mathematische Annalen
12 Zeitschrift für Analysis und ihre Anwendungen
12 Acta Applicandae Mathematicae
12 Annals of Operations Research
12 Set-Valued and Variational Analysis
11 Journal of Mathematical Physics
11 Mathematische Zeitschrift
11 Quarterly of Applied Mathematics
11 Chinese Annals of Mathematics. Series B
11 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
10 Duke Mathematical Journal
10 Journal of Applied Mathematics
9 SIAM Journal on Scientific Computing
9 NoDEA. Nonlinear Differential Equations and Applications
9 Journal of Fixed Point Theory and Applications
9 Journal of Elliptic and Parabolic Equations
8 Operations Research Letters
8 Applications of Mathematics
8 Journal of Elasticity
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Computational and Applied Mathematics
8 Doklady Mathematics
8 Optimization and Engineering
8 Journal of Evolution Equations
8 Computational Methods in Applied Mathematics
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Bulletin of the Australian Mathematical Society
7 Results in Mathematics
7 Siberian Mathematical Journal
7 International Journal of Computer Mathematics
7 Cybernetics and Systems Analysis
7 Continuum Mechanics and Thermodynamics
7 Filomat
7 Communications on Pure and Applied Analysis
7 Mediterranean Journal of Mathematics
...and 327 more Serials
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Cited in 52 Fields

1,538 Partial differential equations (35-XX)
1,421 Calculus of variations and optimal control; optimization (49-XX)
658 Numerical analysis (65-XX)
539 Operator theory (47-XX)
431 Operations research, mathematical programming (90-XX)
407 Mechanics of deformable solids (74-XX)
341 Fluid mechanics (76-XX)
183 Statistical mechanics, structure of matter (82-XX)
161 Global analysis, analysis on manifolds (58-XX)
154 Probability theory and stochastic processes (60-XX)
145 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
107 Functional analysis (46-XX)
106 Differential geometry (53-XX)
90 Biology and other natural sciences (92-XX)
65 Classical thermodynamics, heat transfer (80-XX)
63 Real functions (26-XX)
61 Systems theory; control (93-XX)
53 Computer science (68-XX)
49 Measure and integration (28-XX)
48 Ordinary differential equations (34-XX)
41 Dynamical systems and ergodic theory (37-XX)
40 Potential theory (31-XX)
27 Information and communication theory, circuits (94-XX)
26 Integral equations (45-XX)
25 Optics, electromagnetic theory (78-XX)
23 Functions of a complex variable (30-XX)
22 Statistics (62-XX)
20 General topology (54-XX)
18 Geophysics (86-XX)
16 Convex and discrete geometry (52-XX)
15 Approximations and expansions (41-XX)
13 Quantum theory (81-XX)
12 Mechanics of particles and systems (70-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
8 Several complex variables and analytic spaces (32-XX)
7 General and overarching topics; collections (00-XX)
7 Difference and functional equations (39-XX)
6 Algebraic topology (55-XX)
4 Geometry (51-XX)
4 Manifolds and cell complexes (57-XX)
3 Mathematical logic and foundations (03-XX)
3 Combinatorics (05-XX)
3 Algebraic geometry (14-XX)
2 History and biography (01-XX)
2 Group theory and generalizations (20-XX)
2 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)

Citations by Year

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