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Kinderlehrer, David

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
all top 5

Co-Authors

31 single-authored
10 Hardt, Robert M.
9 Ta’asan, Shlomo
8 Chipot, Michel
8 Pedregal, Pablo
7 Barmak, Katayun
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
3 Golovaty, Dmitry
3 Luskin, Mitchell
3 Ma, Ling
2 Caffarelli, Luis Ángel
2 Collins, Charles R.
2 Fonseca, Irene
2 Friedman, Avner
2 Hilhorst, Danielle
2 Kohn, Robert Vita
2 Livshits, Irene
2 McLeod, John Bryce
2 Olech, Michał
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 Bhattacharya, Aditi
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 Dayal, Kaushik
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 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 Naghibzadeh, S. Kiana
1 Ni, Wei-Ming
1 Peng, Xiaoyao
1 Podio-Guidugli, Paulo
1 Rabinowitz, Paul Henry
1 Radin, Charles
1 Rohrer, Gregory S.
1 Shatah, Jalal
1 Suter, Robert
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 Pure and Applied Mathematics (Academic Press)
1 IAS/Park City Mathematics Series
1 Differential Equations and Applications

Publications by Year

Citations contained in zbMATH Open

103 Publications have been cited 4,825 times in 4,046 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
616
1998
An introduction to variational inequalities and their applications. Reprint of the 1980 original. Zbl 0988.49003
Kinderlehrer, David; Stampacchia, Guido
442
2000
Existence and partial regularity of static liquid crystal configurations. Zbl 0611.35077
Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua
162
1986
Characterizations of Young measures generated by gradients. Zbl 0754.49020
Kinderlehrer, David; Pedregal, Pablo
140
1991
Regularity in free boundary problems. Zbl 0352.35023
Kinderlehrer, D.; Nirenberg, Louis
136
1977
Equilibrium configurations of crystals. Zbl 0673.73012
Chipot, Michel; Kinderlehrer, David
111
1988
Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046
Kinderlehrer, David; Pedregal, Pablo
108
1994
The smoothness of solutions to nonlinear variational inequalities. Zbl 0278.49011
Brézis, Haïm; Kinderlehrer, David
96
1974
Regularity in elliptic free boundary problems. I. Zbl 0402.35045
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
69
1978
A one phase Stefan problem. Zbl 0334.49002
Friedman, Avner; Kinderlehrer, David
61
1975
Potential methods in variational inequalities. Zbl 0455.49010
Caffarelli, L. A.; Kinderlehrer, D.
50
1980
Weak convergence of integrands and the Young measure representation. Zbl 0757.49014
Kinderlehrer, David; Pedregal, Pablo
47
1992
Smoothness of linear laminates. Zbl 0617.73062
Chipot, Michel; Kinderlehrer, David; Caffarelli, Giorgio Vergara
43
1986
Theory and applications of liquid crystals. Zbl 0713.76006
43
1987
Stable defects of minimizers of constrained variational principles. Zbl 0657.49018
Hardt, R.; Kinderlehrer, D.; Lin, Fang-Hua
42
1988
Sur une nouvelle formulation du problème de l’ecoulement à travers une digue. Zbl 0391.76072
Brézis, Haïm; Kinderlehrer, David; Stampacchia, Guido
38
1978
Evolution of grain boundaries. Zbl 1036.74041
Kinderlehrer, David; Liu, Chun
33
2001
The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060
Kinderlehrer, David; Nirenberg, Louis
30
1978
Remarks about Signorini’s problem in linear elasticity. Zbl 0482.73017
Kinderlehrer, David
30
1981
Free energy and the Fokker-Planck equation. Zbl 1029.82507
Jordan, Richard; Kinderlehrer, David; Otto, Felix
29
1997
Theory of diffusionless phase transitions. Zbl 0991.74504
James, Richard; Kinderlehrer, David
28
1989
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
26
2015
The smoothness of the solution of the boundary obstacle problem. Zbl 0459.35092
Kinderlehrer, David
25
1981
Approximation of parabolic equations using the Wasserstein metric. Zbl 0936.65121
Kinderlehrer, David; Walkington, Noel J.
24
1999
Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045
Kinderlehrer, David; Nirenberg, Louis
24
1978
Elastic plastic deformation. Zbl 0522.73029
Hardt, Robert; Kinderlehrer, David
22
1983
Remarks about equilibrium configurations of crystals. Zbl 0850.73037
Kinderlehrer, David
22
1988
Numerical approximation of the solution of a variational problem with a double well potential. Zbl 0725.65067
Collins, Charles; Kinderlehrer, David; Luskin, Mitchell
22
1991
Mathematical questions of liquid crystal theory. Zbl 0704.76005
Hardt, R.; Kinderlehrer, D.
20
1988
The shape and smoothness of stable plasma configurations. Zbl 0409.76095
Kinderlehrer, David; Spruck, Joel
20
1978
A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations. Zbl 1372.35167
Kinderlehrer, David; Monsaingeon, Léonard; Xu, Xiang
19
2017
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.
19
1995
The coincidence set of solutions of certain variational inequalities. Zbl 0219.49014
Kinderlehrer, D.
18
1971
How a minimal surface leaves an obstacle. Zbl 0268.49050
Kinderlehrer, David
18
1973
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
17
1983
Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
16
1994
The variety of configurations of static liquid crystals. Zbl 0723.58018
Hardt, Robert; Kinderlehrer, David; Lin, Fang Hau
16
1990
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
15
1999
Diffusion-mediated transport and the flashing ratchet. Zbl 1065.76183
Kinderlehrer, David; Kowalczyk, Michał
14
2002
A variational approach to modeling and simulation of grain growth. Zbl 1126.82044
Kinderlehrer, David; Livshits, Irene; Ta’asan, Shlomo
14
2006
A variational principle for molecular motors. Zbl 1032.92005
Chipot, Michel; Kinderlehrer, David; Kowalczyk, Michal
12
2003
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
12
2011
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
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
Transport in a molecular motor system. Zbl 1077.35060
Chipot, Michel; Hastings, Stuart; Kinderlehrer, David
9
2004
Recent developments in liquid crystal theory. Zbl 0729.76009
Kinderlehrer, D.
9
1991
Regularity in elliptic free boundary problems. II: Equations of higher order. Zbl 0425.35097
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
8
1979
Towards a statistical theory of texture evolution in polycrystals. Zbl 1186.37095
Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S.
8
2008
Remarks about the mathematical theory of liquid crystals. Zbl 0696.49053
Hardt, Robert; Kinderlehrer, David; Luskin, Mitchell
7
1988
An extended variational principle. Zbl 0852.49003
Jordan, Richard; Kinderlehrer, David
7
1996
The elementary defects of the Oseen-Frank energy for a liquid crystal. Zbl 0784.35085
Kinderlehrer, David; Ou, Biao; Walkington, Nöel
7
1993
Discrete and continuous ratchets: From coin toss to molecular motor. Zbl 1009.35037
Heath, David; Kinderlehrer, David; Kowalczyk, Michał
6
2002
Minimal surfaces whose boundaries contain spikes. Zbl 0193.39301
Kinderlehrer, D.
6
1970
Second variation of liquid crystal energy at \(x/ |{}x|{} \). Zbl 0761.49012
Kinderlehrer, David; Ou, Biao
6
1992
Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
6
1993
Remarks about the analysis of gradient Young measures. Zbl 0833.49012
Kinderlehrer, David; Pedregal, P.
6
1992
Towards a gradient flow for microstructure. Zbl 1380.37137
Bardsley, Patrick; Barmak, Katayun; Eggeling, Eva; Epshteyn, Yekaterina; Kinderlehrer, David; Ta’asan, Shlomo
6
2017
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
5
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
5
1987
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
5
1986
The boundary regularity of minimal surfaces. Zbl 0185.34603
Kinderlehrer, D.
5
1969
The regularity of minimal surfaces defined over slit domains. Zbl 0214.10503
Kinderlehrer, D.
5
1971
Régularité dans les problèmes elliptiques à frontière libre. Zbl 0386.35045
Kinderlehrer, David; Nirenberg, Louis; Spruck, Joel
5
1978
Estimates for the solution and its stability in Signorini’s problem. Zbl 0487.73126
Kinderlehrer, David
5
1982
Twinning of crystals. II. Zbl 0638.73007
Kinderlehrer, David
4
1987
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
4
2017
Caractérisation des mesures de Young associées à un gradient. (Characterization of gradient Young measures). Zbl 0759.49005
Kinderlehrer, David; Pedregal, Pablo
4
1991
Diffusion mediated transport in multiple state systems. Zbl 1157.34039
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
4
2007
Hodograph methods and the smoothness of the free boundary in the one phase Stefan problem. Zbl 0456.35090
Kinderlehrer, David; Nirenberg, Louis
4
1978
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.
4
2009
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
The reflaxation of functionals with surface energies. Zbl 0696.49007
Kinderlehrer, David; Vergara-Caffarelli, Giorgio
3
1989
A free boundary value problem in potential theory. Zbl 0303.31003
Kinderlehrer, David; Stampacchia, Guido
3
1975
Frustration and microstructure: An example in magnetostriction. Zbl 0797.49037
James, R. D.; Kinderlehrer, D.
3
1993
Variational principles with linear growth. Zbl 0706.49001
Hardt, Robert; Kinderlehrer, David
3
1989
A class of parabolic quasi-variational inequalities. Zbl 0323.35042
Friedman, Avner; Kinderlehrer, David
3
1976
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.
3
2015
Transport via mass transportation. Zbl 1100.35028
Kinderlehrer, David; Tudorascu, Adrian
3
2006
The partially supported elastic beam. Zbl 0514.73042
Gastaldi, Fabio; Kinderlehrer, David
2
1983
A new perspective on texture evolution. Zbl 1159.82317
Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S.
2
2008
Some regularity results in plasticity. Zbl 0591.73047
Hardt, Robert M.; Kinderlehrer, David
2
1986
The regularity of the solution to a certain variational inequality. Zbl 0273.35027
Kinderlehrer, David
2
1973
The hysteretic event in the computation of magnetization. Zbl 0873.65114
Kinderlehrer, David; Ma, Ling
2
1997
Magnetoelastic interactions. Zbl 0894.73131
James, R.; Kinderlehrer, David
2
1996
Remarks about gradient Young measures generated by sequences in Sobolev spaces. Zbl 0828.46031
Kinderlehrer, David; Pedregal, P.
2
1994
Phase transitions in crystals: Towards the analysis of microstructure. Zbl 0731.73074
Kinderlehrer, D.
2
1990
Elliptic variational inequalities. Zbl 0356.35023
Kinderlehrer, David
2
1975
The smoothness of free boundaries governed by elliptic equations and systems. Zbl 0485.35084
Kinderlehrer, D.
2
1980
The hysteretic event in the computation of magnetism and magnetostriction. Zbl 0939.35182
Kinderlehrer, D.; Ma, L.
1
1998
Oscillation theory, computation, and methods of compensated compactness. (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 0594.00008
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
A relation between semi-inverse and Saint-Venant solutions for prisms. Zbl 0628.35035
Kinderlehrer, David
1
1986
How a minimal surface leaves an obstacle. Zbl 0262.53003
Kinderlehrer, David
1
1972
Remarks on a multiscale approach to grain growth in polycrystals. Zbl 1105.74006
Barmak, Katayun; Kinderlehrer, David; Livshits, Irine; Ta’asan, Shlomo
1
2006
A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations. Zbl 1372.35167
Kinderlehrer, David; Monsaingeon, Léonard; Xu, Xiang
19
2017
Towards a gradient flow for microstructure. Zbl 1380.37137
Bardsley, Patrick; Barmak, Katayun; Eggeling, Eva; Epshteyn, Yekaterina; Kinderlehrer, David; Ta’asan, Shlomo
6
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
4
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
26
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.
3
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
12
2011
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
5
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.
4
2009
The Janossy effect and hybrid variational principles. Zbl 1154.35369
Kinderlehrer, David; Kowalczyk, Michał
4
2009
Towards a statistical theory of texture evolution in polycrystals. Zbl 1186.37095
Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S.
8
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
14
2006
Transport via mass transportation. Zbl 1100.35028
Kinderlehrer, David; Tudorascu, Adrian
3
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
9
2004
A variational principle for molecular motors. Zbl 1032.92005
Chipot, Michel; Kinderlehrer, David; Kowalczyk, Michal
12
2003
Diffusion-mediated transport and the flashing ratchet. Zbl 1065.76183
Kinderlehrer, David; Kowalczyk, Michał
14
2002
Discrete and continuous ratchets: From coin toss to molecular motor. Zbl 1009.35037
Heath, David; Kinderlehrer, David; Kowalczyk, Michał
6
2002
Evolution of grain boundaries. Zbl 1036.74041
Kinderlehrer, David; Liu, Chun
33
2001
An introduction to variational inequalities and their applications. Reprint of the 1980 original. Zbl 0988.49003
Kinderlehrer, David; Stampacchia, Guido
442
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.
24
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
15
1999
The variational formulation of the Fokker-Planck equation. Zbl 0915.35120
Jordan, Richard; Kinderlehrer, David; Otto, Felix
616
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
29
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
7
1996
Magnetoelastic interactions. Zbl 0894.73131
James, R.; Kinderlehrer, David
2
1996
Magnetoelastic interactions. Zbl 0864.73057
Kinderlehrer, David
1
1996
Numerical analysis of oscillations in multiple well problems. Zbl 0824.65045
Chipot, M.; Collins, C.; Kinderlehrer, D.
19
1995
Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046
Kinderlehrer, David; Pedregal, Pablo
108
1994
Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
16
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
7
1993
Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
6
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
6
1992
Remarks about the analysis of gradient Young measures. Zbl 0833.49012
Kinderlehrer, David; Pedregal, P.
6
1992
Characterizations of Young measures generated by gradients. Zbl 0754.49020
Kinderlehrer, David; Pedregal, Pablo
140
1991
Numerical approximation of the solution of a variational problem with a double well potential. Zbl 0725.65067
Collins, Charles; Kinderlehrer, David; Luskin, Mitchell
22
1991
Recent developments in liquid crystal theory. Zbl 0729.76009
Kinderlehrer, D.
9
1991
Caractérisation des mesures de Young associées à un gradient. (Characterization of gradient Young measures). Zbl 0759.49005
Kinderlehrer, David; Pedregal, Pablo
4
1991
The variety of configurations of static liquid crystals. Zbl 0723.58018
Hardt, Robert; Kinderlehrer, David; Lin, Fang Hau
16
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
28
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
3
1989
Equilibrium configurations of crystals. Zbl 0673.73012
Chipot, Michel; Kinderlehrer, David
111
1988
Stable defects of minimizers of constrained variational principles. Zbl 0657.49018
Hardt, R.; Kinderlehrer, D.; Lin, Fang-Hua
42
1988
Remarks about equilibrium configurations of crystals. Zbl 0850.73037
Kinderlehrer, David
22
1988
Mathematical questions of liquid crystal theory. Zbl 0704.76005
Hardt, R.; Kinderlehrer, D.
20
1988
Remarks about the mathematical theory of liquid crystals. Zbl 0696.49053
Hardt, Robert; Kinderlehrer, David; Luskin, Mitchell
7
1988
Theory and applications of liquid crystals. Zbl 0713.76006
43
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
5
1987
Twinning of crystals. II. Zbl 0638.73007
Kinderlehrer, David
4
1987
Existence and partial regularity of static liquid crystal configurations. Zbl 0611.35077
Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua
162
1986
Smoothness of linear laminates. Zbl 0617.73062
Chipot, Michel; Kinderlehrer, David; Caffarelli, Giorgio Vergara
43
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
5
1986
Some regularity results in plasticity. Zbl 0591.73047
Hardt, Robert M.; Kinderlehrer, David
2
1986
Oscillation theory, computation, and methods of compensated compactness. (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 0594.00008
1
1986
Remarks about St. Venant solutions in finite elasticity. Zbl 0605.73031
Kinderlehrer, David
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
22
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
17
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
5
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
30
1981
The smoothness of the solution of the boundary obstacle problem. Zbl 0459.35092
Kinderlehrer, David
25
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.
50
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.
8
1979
Regularity in elliptic free boundary problems. I. Zbl 0402.35045
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
69
1978
Sur une nouvelle formulation du problème de l’ecoulement à travers une digue. Zbl 0391.76072
Brézis, Haïm; Kinderlehrer, David; Stampacchia, Guido
38
1978
The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060
Kinderlehrer, David; Nirenberg, Louis
30
1978
Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045
Kinderlehrer, David; Nirenberg, Louis
24
1978
The shape and smoothness of stable plasma configurations. Zbl 0409.76095
Kinderlehrer, David; Spruck, Joel
20
1978
Variational inequalities and free boundary problems. Zbl 0382.35004
Kinderlehrer, David
19
1978
Régularité dans les problèmes elliptiques à frontière libre. Zbl 0386.35045
Kinderlehrer, David; Nirenberg, Louis; Spruck, Joel
5
1978
Hodograph methods and the smoothness of the free boundary in the one phase Stefan problem. Zbl 0456.35090
Kinderlehrer, David; Nirenberg, Louis
4
1978
Regularity in free boundary problems. Zbl 0352.35023
Kinderlehrer, D.; Nirenberg, Louis
136
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
61
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
96
1974
How a minimal surface leaves an obstacle. Zbl 0268.49050
Kinderlehrer, David
18
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
1
1972
The coincidence set of solutions of certain variational inequalities. Zbl 0219.49014
Kinderlehrer, D.
18
1971
Variational inequalities with lower dimensional obstacles. Zbl 0263.49008
Kinderlehrer, David
10
1971
...and 3 more Documents
all top 5

Cited by 4,197 Authors

87 Noor, Muhammad Aslam
56 Yao, Jen-Chih
46 Nagurney, Anna
39 Shehu, Yekini
37 Carrillo de la Plata, José Antonio
31 Dương Việt Thông
29 Chipot, Michel
29 Dang Van Hieu
29 Noor, Khalida Inayat
27 Kinderlehrer, David
27 Sofonea, Mircea
26 Ansari, Qamrul Hasan
26 Ceng, Lu-Chuan
25 Caffarelli, Luis Ángel
23 Dong, Qiaoli
22 Migórski, Stanisław
22 Savaré, Giuseppe
21 Mielke, Alexander
20 Brenner, Susanne Cecelia
20 Byun, Sun-Sig
19 Jolaoso, Lateef Olakunle O.
18 Friedman, Avner
18 Han, Weimin
18 Hintermüller, Michael
18 Huang, Nan-Jing
18 Matthes, Daniel
18 Shahgholian, Henrik
18 Sung, Li-Yeng
17 Cho, Yeol Je
17 Kumam, Poom
17 Le, Vy Khoi
17 Li, Wuchen
17 Pedregal, Pablo
17 Santambrogio, Filippo
17 Vuong, Phan Tu
16 Cojocaru, Monica-Gabriela
16 Daniele, Patrizia
16 Iyiola, Olaniyi Samuel
16 Kružík, Martin
16 Liu, Chun
16 Peletier, Mark Adriaan
15 Gwinner, Joachim
15 Nguyen Dong Yen
14 Bnouhachem, Abdellah
14 Fonseca, Irene
14 Porwal, Kamana
14 Serfaty, Sylvia
14 Verma, Ram U.
14 Wen, Chingfeng
13 Bayada, Guy
13 Carlier, Guillaume
13 Dolzmann, Georg
13 Gibali, Aviv
13 Iiduka, Hideaki
13 Lin, Fang Hua
13 Ortiz, Michael
13 Otárola, Enrique
13 Vázquez Cendón, Carlos
13 Zhang, Kewei
12 Ambrosio, Luigi
12 Dong, June
12 Gudi, Thirupathi
12 Kim, Inwon Christina
12 Lê Dung Muu
12 Maas, Jan
12 Mewomo, Oluwatosin Temitope
12 Pham Ky Anh
12 Raciti, Fabio
12 Rodrigues, José Francisco
11 Pastukhova, Svetlana Evgenievna
11 Zeng, Shengda
10 Alakoya, Timilehin Opeyemi
10 Brézis, Haïm
10 Cancès, Clément
10 Christof, Constantin
10 Díaz Díaz, Jesús Ildefonso
10 Erbar, Matthias
10 Eslamian, Mohammad
10 Figalli, Alessio
10 Hardt, Robert M.
10 Monsaingeon, Léonard
10 Reich, Simeon
10 Yao, Yonghong
10 Zinsl, Jonathan
9 Canevari, Giacomo
9 Carstensen, Carsten
9 Chen, Yongxin
9 Cholamjiak, Prasit
9 Conti, Sergio
9 De Silva, Daniela
9 Duong, Manh Hong
9 Focardi, Matteo
9 Frehse, Jens
9 Fuchs, Martin
9 Garain, Prashanta
9 Kristensen, Jan
9 Osher, Stanley Joel
9 Rautenberg, Carlos N.
9 Rehman, Habib Ur
9 Sahu, Daya Ram
...and 4,097 more Authors
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Cited in 478 Serials

135 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
128 Archive for Rational Mechanics and Analysis
123 Calculus of Variations and Partial Differential Equations
122 Journal of Mathematical Analysis and Applications
114 Journal of Optimization Theory and Applications
91 Journal of Differential Equations
65 SIAM Journal on Mathematical Analysis
63 Journal of Computational and Applied Mathematics
61 Computers & Mathematics with Applications
59 Nonlinear Analysis. Theory, Methods & Applications
57 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
56 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
56 Optimization
55 Applied Mathematics and Computation
51 Communications in Partial Differential Equations
49 Applied Mathematics and Optimization
41 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
41 Journal of Functional Analysis
40 Numerische Mathematik
39 Numerical Functional Analysis and Optimization
38 Computer Methods in Applied Mechanics and Engineering
37 Journal of Global Optimization
36 Journal of Inequalities and Applications
34 Applied Mathematics Letters
32 Journal de Mathématiques Pures et Appliquées. Neuvième Série
30 Journal of Computational Physics
30 Discrete and Continuous Dynamical Systems
29 Transactions of the American Mathematical Society
28 SIAM Journal on Control and Optimization
28 Fixed Point Theory and Applications
26 Mathematical Methods in the Applied Sciences
26 European Journal of Applied Mathematics
26 Journal of Nonlinear Science
26 Optimization Letters
25 Applicable Analysis
25 Annali di Matematica Pura ed Applicata. Serie Quarta
25 Applied Numerical Mathematics
25 Journal of Scientific Computing
25 European Journal of Operational Research
24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
23 Advances in Mathematics
23 Manuscripta Mathematica
23 Proceedings of the American Mathematical Society
23 The Journal of Geometric Analysis
23 Journal of Mathematical Sciences (New York)
23 Abstract and Applied Analysis
22 Communications on Pure and Applied Mathematics
22 SIAM Journal on Numerical Analysis
22 Numerical Algorithms
21 Mathematical and Computer Modelling
21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
20 Communications in Mathematical Physics
20 Mathematische Annalen
19 Mathematics of Computation
19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
19 Mathematical Programming. Series A. Series B
19 Nonlinear Analysis. Real World Applications
18 Journal of the Mechanics and Physics of Solids
18 Physica D
17 ZAMP. Zeitschrift für angewandte Mathematik und Physik
17 SIAM Journal on Applied Mathematics
16 Computational Optimization and Applications
15 Inventiones Mathematicae
15 Zeitschrift für Analysis und ihre Anwendungen
15 Annals of Operations Research
15 Potential Analysis
14 Communications in Nonlinear Science and Numerical Simulation
14 Set-Valued and Variational Analysis
13 Acta Applicandae Mathematicae
13 RAIRO. Modélisation Mathématique et Analyse Numérique
13 Computational and Applied Mathematics
13 Journal of Industrial and Management Optimization
12 Journal d’Analyse Mathématique
12 Journal of Mathematical Physics
12 SIAM Journal on Scientific Computing
12 Computational Methods in Applied Mathematics
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
11 Advances in Calculus of Variations
10 International Journal of Engineering Science
10 Duke Mathematical Journal
10 Operations Research Letters
10 Neural Networks
10 International Journal of Computer Mathematics
10 Cybernetics and Systems Analysis
10 Continuum Mechanics and Thermodynamics
10 Journal of Applied Mathematics
10 Journal of Fixed Point Theory and Applications
10 Journal of Elliptic and Parabolic Equations
9 Demonstratio Mathematica
9 The Annals of Applied Probability
9 Applications of Mathematics
9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 NoDEA. Nonlinear Differential Equations and Applications
9 Interfaces and Free Boundaries
9 Communications on Pure and Applied Analysis
9 Networks and Heterogeneous Media
8 Nonlinearity
...and 378 more Serials
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Cited in 54 Fields

1,844 Partial differential equations (35-XX)
1,701 Calculus of variations and optimal control; optimization (49-XX)
816 Numerical analysis (65-XX)
697 Operator theory (47-XX)
557 Operations research, mathematical programming (90-XX)
471 Mechanics of deformable solids (74-XX)
413 Fluid mechanics (76-XX)
222 Statistical mechanics, structure of matter (82-XX)
194 Probability theory and stochastic processes (60-XX)
189 Global analysis, analysis on manifolds (58-XX)
183 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
129 Differential geometry (53-XX)
126 Functional analysis (46-XX)
116 Biology and other natural sciences (92-XX)
86 Computer science (68-XX)
78 Systems theory; control (93-XX)
73 Classical thermodynamics, heat transfer (80-XX)
70 Real functions (26-XX)
60 Ordinary differential equations (34-XX)
58 Measure and integration (28-XX)
51 Dynamical systems and ergodic theory (37-XX)
48 Potential theory (31-XX)
38 Information and communication theory, circuits (94-XX)
32 Statistics (62-XX)
30 Integral equations (45-XX)
30 Optics, electromagnetic theory (78-XX)
26 General topology (54-XX)
25 Functions of a complex variable (30-XX)
21 Mechanics of particles and systems (70-XX)
21 Quantum theory (81-XX)
20 Geophysics (86-XX)
19 Convex and discrete geometry (52-XX)
17 Approximations and expansions (41-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
10 General and overarching topics; collections (00-XX)
8 Several complex variables and analytic spaces (32-XX)
7 Difference and functional equations (39-XX)
6 Algebraic topology (55-XX)
5 Mathematical logic and foundations (03-XX)
5 Geometry (51-XX)
5 Manifolds and cell complexes (57-XX)
4 History and biography (01-XX)
3 Algebraic geometry (14-XX)
3 Relativity and gravitational theory (83-XX)
2 Combinatorics (05-XX)
2 Group theory and generalizations (20-XX)
2 Astronomy and astrophysics (85-XX)
1 Number theory (11-XX)
1 Category theory; homological algebra (18-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)

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