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Kinderlehrer, David

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Author ID: kinderlehrer.david Recent zbMATH articles by "Kinderlehrer, David"
Published as: Kinderlehrer, D.; Kinderlehrer, David
Homepage: http://www.math.cmu.edu/math/faculty/kinderlehrerdavid
External Links: MGP · Wikidata · ORCID · dblp · GND
Documents Indexed: 123 Publications since 1969, including 13 Books
Biographic References: 1 Publication
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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 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

100 Publications have been cited 3,682 times in 3,064 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
413
1998
An introduction to variational inequalities and their applications. Reprint of the 1980 original. Zbl 0988.49003
Kinderlehrer, David; Stampacchia, Guido
280
2000
Existence and partial regularity of static liquid crystal configurations. Zbl 0611.35077
Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua
128
1986
Characterizations of Young measures generated by gradients. Zbl 0754.49020
Kinderlehrer, David; Pedregal, Pablo
116
1991
Equilibrium configurations of crystals. Zbl 0673.73012
Chipot, Michel; Kinderlehrer, David
104
1988
Regularity in free boundary problems. Zbl 0352.35023
Kinderlehrer, D.; Nirenberg, Louis
102
1977
Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046
Kinderlehrer, David; Pedregal, Pablo
86
1994
The smoothness of solutions to nonlinear variational inequalities. Zbl 0278.49011
Brézis, Haïm; Kinderlehrer, David
79
1974
Regularity in elliptic free boundary problems. I. Zbl 0402.35045
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
55
1978
A one phase Stefan problem. Zbl 0334.49002
Friedman, Avner; Kinderlehrer, David
54
1975
Weak convergence of integrands and the Young measure representation. Zbl 0757.49014
Kinderlehrer, David; Pedregal, Pablo
45
1992
Stable defects of minimizers of constrained variational principles. Zbl 0657.49018
Hardt, R.; Kinderlehrer, D.; Lin, Fang-Hua
35
1988
Potential methods in variational inequalities. Zbl 0455.49010
Caffarelli, L. A.; Kinderlehrer, D.
35
1980
Sur une nouvelle formulation du problème de l’ecoulement à travers une digue. Zbl 0391.76072
Brézis, Haïm; Kinderlehrer, David; Stampacchia, Guido
35
1978
Smoothness of linear laminates. Zbl 0617.73062
Chipot, Michel; Kinderlehrer, David; Caffarelli, Giorgio Vergara
32
1986
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
25
1978
Remarks about Signorini’s problem in linear elasticity. Zbl 0482.73017
Kinderlehrer, David
24
1981
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
23
2015
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
Remarks about equilibrium configurations of crystals. Zbl 0850.73037
Kinderlehrer, David
22
1988
Elastic plastic deformation. Zbl 0522.73029
Hardt, Robert; Kinderlehrer, David
22
1983
Approximation of parabolic equations using the Wasserstein metric. Zbl 0936.65121
Kinderlehrer, David; Walkington, Noel J.
21
1999
The smoothness of the solution of the boundary obstacle problem. Zbl 0459.35092
Kinderlehrer, David
21
1981
Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045
Kinderlehrer, David; Nirenberg, Louis
21
1978
Evolution of grain boundaries. Zbl 1036.74041
Kinderlehrer, David; Liu, Chun
20
2001
Theory and applications of liquid crystals. Zbl 0713.76006
Ericksen, J. L. (ed.); Kinderlehrer, D. (ed.)
19
1987
Free energy and the Fokker-Planck equation. Zbl 1029.82507
Jordan, Richard; Kinderlehrer, David; Otto, Felix
18
1997
Numerical analysis of oscillations in multiple well problems. Zbl 0824.65045
Chipot, M.; Collins, C.; Kinderlehrer, D.
18
1995
Variational inequalities and free boundary problems. Zbl 0382.35004
Kinderlehrer, David
18
1978
Mathematical questions of liquid crystal theory. Zbl 0704.76005
Hardt, R.; Kinderlehrer, D.
17
1988
The shape and smoothness of stable plasma configurations. Zbl 0409.76095
Kinderlehrer, David; Spruck, Joel
17
1978
The coincidence set of solutions of certain variational inequalities. Zbl 0219.49014
Kinderlehrer, D.
17
1971
How a minimal surface leaves an obstacle. Zbl 0268.49050
Kinderlehrer, David
15
1973
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
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
13
1983
A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations. Zbl 1372.35167
Kinderlehrer, David; Monsaingeon, Léonard; Xu, Xiang
12
2017
A variational approach to modeling and simulation of grain growth. Zbl 1126.82044
Kinderlehrer, David; Livshits, Irene; Ta’asan, Shlomo
12
2006
The variety of configurations of static liquid crystals. Zbl 0723.58018
Hardt, Robert; Kinderlehrer, David; Lin, Fang Hau
12
1990
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
Remarks about the flashing rachet. Zbl 1064.35065
Dolbeault, Jean; Kinderlehrer, David; Kowalczyk, Michał
9
2004
A variational principle for molecular motors. Zbl 1032.92005
Chipot, Michel; Kinderlehrer, David; Kowalczyk, Michal
9
2003
Variational inequalities with lower dimensional obstacles. Zbl 0263.49008
Kinderlehrer, David
9
1971
Transport in a molecular motor system. Zbl 1077.35060
Chipot, Michel; Hastings, Stuart; Kinderlehrer, David
8
2004
Recent developments in liquid crystal theory. Zbl 0729.76009
Kinderlehrer, D.
8
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.
7
2008
Remarks about the mathematical theory of liquid crystals. Zbl 0696.49053
Hardt, Robert; Kinderlehrer, David; Luskin, Mitchell
6
1988
Minimal surfaces whose boundaries contain spikes. Zbl 0193.39301
Kinderlehrer, D.
6
1970
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
The elementary defects of the Oseen-Frank energy for a liquid crystal. Zbl 0784.35085
Kinderlehrer, David; Ou, Biao; Walkington, Nöel
5
1993
Remarks about the analysis of gradient Young measures. Zbl 0833.49012
Kinderlehrer, David; Pedregal, P.
5
1992
Second variation of liquid crystal energy at \(x/ |{}x|{} \). Zbl 0761.49012
Kinderlehrer, David; Ou, Biao
5
1992
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
Antman, Stuart S. (ed.); Ericksen, J. L. (ed.); Kinderlehrer, David (ed.); Müller, Ingo (ed.)
5
1987
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
4
2011
The Janossy effect and hybrid variational principles. Zbl 1154.35369
Kinderlehrer, David; Kowalczyk, Michał
4
2009
Diffusion mediated transport with a look at motor proteins. Zbl 1351.35069
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
4
2008
Diffusion mediated transport in multiple state systems. Zbl 1157.34039
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
4
2007
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
Estimates for the solution and its stability in Signorini’s problem. Zbl 0487.73126
Kinderlehrer, David
4
1982
Hodograph methods and the smoothness of the free boundary in the one phase Stefan problem. Zbl 0456.35090
Kinderlehrer, David; Nirenberg, Louis
4
1978
Régularité dans les problèmes elliptiques à frontière libre. Zbl 0386.35045
Kinderlehrer, David; Nirenberg, Louis; Spruck, Joel
4
1978
The regularity of minimal surfaces defined over slit domains. Zbl 0214.10503
Kinderlehrer, D.
4
1971
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
Ball, J. M. (ed.); Kinderlehrer, D. (ed.); Podio-Guidugli, P. (ed.); Slemrod, M. (ed.)
3
1999
An extended variational principle. Zbl 0852.49003
Jordan, Richard; Kinderlehrer, David
3
1996
Remarks about gradient Young measures generated by sequences in Sobolev spaces. Zbl 0828.46031
Kinderlehrer, David; Pedregal, P.
3
1994
Caractérisation des mesures de Young associées à un gradient. (Characterization of gradient Young measures). Zbl 0759.49005
Kinderlehrer, David; Pedregal, Pablo
3
1991
The reflaxation of functionals with surface energies. Zbl 0696.49007
Kinderlehrer, David; Vergara-Caffarelli, Giorgio
3
1989
A class of parabolic quasi-variational inequalities. Zbl 0323.35042
Friedman, Avner; Kinderlehrer, David
3
1976
A free boundary value problem in potential theory. Zbl 0303.31003
Kinderlehrer, David; Stampacchia, Guido
3
1975
The boundary regularity of minimal surfaces. Zbl 0185.34603
Kinderlehrer, D.
3
1969
A new perspective on texture evolution. Zbl 1159.82317
Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S.
2
2008
Transport via mass transportation. Zbl 1100.35028
Kinderlehrer, David; Tudorascu, Adrian
2
2006
Discrete and continuous ratchets: From coin toss to molecular motor. Zbl 1009.35037
Heath, David; Kinderlehrer, David; Kowalczyk, Michał
2
2002
The hysteretic event in the computation of magnetization. Zbl 0873.65114
Kinderlehrer, David; Ma, Ling
2
1997
Frustration and microstructure: An example in magnetostriction. Zbl 0797.49037
James, R. D.; Kinderlehrer, D.
2
1993
Phase transitions in crystals: Towards the analysis of microstructure. Zbl 0731.73074
Kinderlehrer, D.
2
1990
Variational principles with linear growth. Zbl 0706.49001
Hardt, Robert; Kinderlehrer, David
2
1989
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
Ericksen, J. L. (ed.); Kinderlehrer, David (ed.); Kohn, Robert V. (ed.); Lions, J.-L. (ed.)
2
1986
The partially supported elastic beam. Zbl 0514.73042
Gastaldi, Fabio; Kinderlehrer, David
2
1983
The smoothness of free boundaries governed by elliptic equations and systems. Zbl 0485.35084
Kinderlehrer, D.
2
1980
Elliptic variational inequalities. Zbl 0356.35023
Kinderlehrer, David
2
1975
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
Towards a gradient flow for microstructure. Zbl 1380.37137
Bardsley, Patrick; Barmak, Katayun; Eggeling, Eva; Epshteyn, Yekaterina; Kinderlehrer, David; Ta’asan, Shlomo
1
2017
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
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
The hysteretic event in the computation of magnetism and magnetostriction. Zbl 0939.35182
Kinderlehrer, D.; Ma, L.
1
1998
Magnetoelastic interactions. Zbl 0894.73131
James, R.; Kinderlehrer, David
1
1996
Magnetoelastic interactions. Zbl 0864.73057
Kinderlehrer, David
1
1996
A relation between semi-inverse and Saint-Venant solutions for prisms. Zbl 0628.35035
Kinderlehrer, David
1
1986
Remarks about St. Venant solutions in finite elasticity. Zbl 0605.73031
Kinderlehrer, David
1
1986
Some regularity results in plasticity. Zbl 0591.73047
Hardt, Robert M.; 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
Remarks about Signorini’s problem. Zbl 0494.35039
Kinderlehrer, David
1
1982
A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations. Zbl 1372.35167
Kinderlehrer, David; Monsaingeon, Léonard; Xu, Xiang
12
2017
Towards a gradient flow for microstructure. Zbl 1380.37137
Bardsley, Patrick; Barmak, Katayun; Eggeling, Eva; Epshteyn, Yekaterina; Kinderlehrer, David; Ta’asan, Shlomo
1
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
23
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
4
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
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.
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
12
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
9
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
2
2002
Evolution of grain boundaries. Zbl 1036.74041
Kinderlehrer, David; Liu, Chun
20
2001
An introduction to variational inequalities and their applications. Reprint of the 1980 original. Zbl 0988.49003
Kinderlehrer, David; Stampacchia, Guido
280
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
Ball, J. M. (ed.); Kinderlehrer, D. (ed.); Podio-Guidugli, P. (ed.); Slemrod, M. (ed.)
3
1999
The variational formulation of the Fokker-Planck equation. Zbl 0915.35120
Jordan, Richard; Kinderlehrer, David; Otto, Felix
413
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
18
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
3
1996
Magnetoelastic interactions. Zbl 0894.73131
James, R.; Kinderlehrer, David
1
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.
18
1995
Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046
Kinderlehrer, David; Pedregal, Pablo
86
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.
3
1994
The elementary defects of the Oseen-Frank energy for a liquid crystal. Zbl 0784.35085
Kinderlehrer, David; Ou, Biao; Walkington, Nöel
5
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.
2
1993
Weak convergence of integrands and the Young measure representation. Zbl 0757.49014
Kinderlehrer, David; Pedregal, Pablo
45
1992
Remarks about the analysis of gradient Young measures. Zbl 0833.49012
Kinderlehrer, David; Pedregal, P.
5
1992
Second variation of liquid crystal energy at \(x/ |{}x|{} \). Zbl 0761.49012
Kinderlehrer, David; Ou, Biao
5
1992
Characterizations of Young measures generated by gradients. Zbl 0754.49020
Kinderlehrer, David; Pedregal, Pablo
116
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.
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
12
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
104
1988
Stable defects of minimizers of constrained variational principles. Zbl 0657.49018
Hardt, R.; Kinderlehrer, D.; Lin, Fang-Hua
35
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.
17
1988
Remarks about the mathematical theory of liquid crystals. Zbl 0696.49053
Hardt, Robert; Kinderlehrer, David; Luskin, Mitchell
6
1988
Theory and applications of liquid crystals. Zbl 0713.76006
Ericksen, J. L. (ed.); Kinderlehrer, D. (ed.)
19
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
Antman, Stuart S. (ed.); Ericksen, J. L. (ed.); Kinderlehrer, David (ed.); Müller, Ingo (ed.)
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
128
1986
Smoothness of linear laminates. Zbl 0617.73062
Chipot, Michel; Kinderlehrer, David; Caffarelli, Giorgio Vergara
32
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
Ericksen, J. L. (ed.); Kinderlehrer, David (ed.); Kohn, Robert V. (ed.); Lions, J.-L. (ed.)
2
1986
A relation between semi-inverse and Saint-Venant solutions for prisms. Zbl 0628.35035
Kinderlehrer, David
1
1986
Remarks about St. Venant solutions in finite elasticity. Zbl 0605.73031
Kinderlehrer, David
1
1986
Some regularity results in plasticity. Zbl 0591.73047
Hardt, Robert M.; 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
13
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
24
1981
The smoothness of the solution of the boundary obstacle problem. Zbl 0459.35092
Kinderlehrer, David
21
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.
35
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.
55
1978
Sur une nouvelle formulation du problème de l’ecoulement à travers une digue. Zbl 0391.76072
Brézis, Haïm; Kinderlehrer, David; Stampacchia, Guido
35
1978
The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060
Kinderlehrer, David; Nirenberg, Louis
25
1978
Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045
Kinderlehrer, David; Nirenberg, Louis
21
1978
Variational inequalities and free boundary problems. Zbl 0382.35004
Kinderlehrer, David
18
1978
The shape and smoothness of stable plasma configurations. Zbl 0409.76095
Kinderlehrer, David; Spruck, Joel
17
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
Régularité dans les problèmes elliptiques à frontière libre. Zbl 0386.35045
Kinderlehrer, David; Nirenberg, Louis; Spruck, Joel
4
1978
Regularity in free boundary problems. Zbl 0352.35023
Kinderlehrer, D.; Nirenberg, Louis
102
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
54
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
79
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
9
1971
The regularity of minimal surfaces defined over slit domains. Zbl 0214.10503
Kinderlehrer, D.
4
1971
Minimal surfaces whose boundaries contain spikes. Zbl 0193.39301
Kinderlehrer, D.
6
1970
The boundary regularity of minimal surfaces. Zbl 0185.34603
Kinderlehrer, D.
3
1969
all top 5

Cited by 3,263 Authors

78 Noor, Muhammad Aslam
47 Yao, Jen-Chih
34 Nagurney, Anna
28 Carrillo de la Plata, José Antonio
27 Chipot, Michel
27 Kinderlehrer, David
26 Ceng, Lu-Chuan
24 Caffarelli, Luis Ángel
24 Sofonea, Mircea
23 Noor, Khalida Inayat
21 Ansari, Qamrul Hasan
21 Shehu, Yekini
19 Dang Van Hieu
19 Mielke, Alexander
19 Savaré, Giuseppe
18 Friedman, Avner
16 Le, Vy Khoi
16 Pedregal, Pablo
15 Brenner, Susanne Cecelia
15 Byun, Sun-Sig
15 Dương Việt Thông
15 Gwinner, Joachim
15 Han, Weimin
15 Hintermüller, Michael
14 Bnouhachem, Abdellah
14 Shahgholian, Henrik
14 Verma, Ram U.
13 Cojocaru, Monica-Gabriela
13 Fonseca, Irene
13 Kružík, Martin
13 Matthes, Daniel
13 Migórski, Stanisław
13 Peletier, Mark Adriaan
13 Serfaty, Sylvia
13 Vázquez Cendón, Carlos
12 Ambrosio, Luigi
12 Iiduka, Hideaki
12 Lin, Fang Hua
12 Ortiz, Michael
12 Nguyen Dong Yen
11 Al-Said, Eisa A.
11 Carlier, Guillaume
11 Dolzmann, Georg
11 Gibali, Aviv
11 Gudi, Thirupathi
11 Huang, Nan-Jing
11 Wen, Chingfeng
11 Zhang, Kewei
10 Cho, Yeol Je
10 Hardt, Robert M.
10 Kim, Inwon Christina
10 Maas, Jan
10 Rodrigues, José Francisco
10 Santambrogio, Filippo
10 Vuong, Phan Tu
10 Zinsl, Jonathan
9 Bayada, Guy
9 Brézis, Haïm
9 Diaz Diaz, Jesus Ildefonso
9 Dong, June
9 Erbar, Matthias
9 Frehse, Jens
9 Fuchs, Martin
9 Pastukhova, Svetlana Evgenievna
9 Raciti, Fabio
9 Zhikov, Vasiliĭ Vasil’evich
8 Agueh, Martial
8 Blanchet, Adrien
8 Carstensen, Carsten
8 Conti, Sergio
8 De Silva, Daniela
8 Ding, Xie Ping
8 Dong, Qiaoli
8 Iyiola, Olaniyi Samuel
8 Kristensen, Jan
8 Li, Wuchen
8 Liou, Yeongcheng
8 Luskin, Mitchell
8 Nochetto, Ricardo Horacio
8 Roubíček, Tomáš
8 Sturm, Karl-Theodor
8 Sung, Li-Yeng
8 Sychev, Mikhail A.
8 Temam, Roger Meyer
8 Wang, Changyou
8 Wong, Ngai-Ching
8 Yan, Baisheng
7 Bhattacharya, Kaushik
7 Cancès, Clément
7 Carrillo Menéndez, José
7 Chen, Yongxin
7 Dal Maso, Gianni
7 Dancer, Edward Norman
7 Daniele, Patrizia
7 Figalli, Alessio
7 Gallouët, Thomas O.
7 Gigli, Nicola
7 Guo, Jong-Shenq
7 Kučera, Milan
7 Mainini, Edoardo
...and 3,163 more Authors
all top 5

Cited in 400 Serials

119 Archive for Rational Mechanics and Analysis
113 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
104 Journal of Optimization Theory and Applications
102 Journal of Mathematical Analysis and Applications
94 Calculus of Variations and Partial Differential Equations
75 Journal of Differential Equations
55 Nonlinear Analysis. Theory, Methods & Applications
51 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
48 Computers & Mathematics with Applications
47 Communications in Partial Differential Equations
47 SIAM Journal on Mathematical Analysis
47 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
46 Journal of Computational and Applied Mathematics
44 Applied Mathematics and Computation
41 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
41 Applied Mathematics and Optimization
38 Numerische Mathematik
36 Optimization
35 Journal of Functional Analysis
32 Computer Methods in Applied Mechanics and Engineering
32 Numerical Functional Analysis and Optimization
32 Applied Mathematics Letters
29 Journal de Mathématiques Pures et Appliquées. Neuvième Série
28 Transactions of the American Mathematical Society
27 Journal of Global Optimization
27 Fixed Point Theory and Applications
25 European Journal of Operational Research
25 Discrete and Continuous Dynamical Systems
24 Annali di Matematica Pura ed Applicata. Serie Quarta
23 Manuscripta Mathematica
23 Abstract and Applied Analysis
23 Journal of Inequalities and Applications
22 Proceedings of the American Mathematical Society
22 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
22 Journal of Mathematical Sciences (New York)
21 SIAM Journal on Control and Optimization
21 Applied Numerical Mathematics
21 Optimization Letters
20 Mathematical Methods in the Applied Sciences
19 Advances in Mathematics
19 Mathematical and Computer Modelling
19 The Journal of Geometric Analysis
18 Applicable Analysis
18 Journal of Computational Physics
18 Mathematics of Computation
18 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
17 Communications in Mathematical Physics
17 Communications on Pure and Applied Mathematics
17 Mathematical Programming. Series A. Series B
16 Computational Optimization and Applications
15 SIAM Journal on Numerical Analysis
14 Journal of the Mechanics and Physics of Solids
14 ZAMP. Zeitschrift für angewandte Mathematik und Physik
14 Inventiones Mathematicae
14 Physica D
14 European Journal of Applied Mathematics
14 Numerical Algorithms
13 RAIRO. Modélisation Mathématique et Analyse Numérique
13 Journal of Scientific Computing
13 SIAM Journal on Applied Mathematics
13 Journal of Nonlinear Science
13 Potential Analysis
12 Journal d’Analyse Mathématique
12 Mathematische Annalen
12 Annals of Operations Research
12 Nonlinear Analysis. Real World Applications
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 Journal of Mathematical Physics
11 Mathematische Zeitschrift
11 Zeitschrift für Analysis und ihre Anwendungen
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 Quarterly of Applied Mathematics
10 Acta Applicandae Mathematicae
10 Journal of Applied Mathematics
10 Set-Valued and Variational Analysis
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Journal of Fixed Point Theory and Applications
9 Journal of Elliptic and Parabolic Equations
8 Journal of Elasticity
8 NoDEA. Nonlinear Differential Equations and Applications
8 Doklady Mathematics
7 Bulletin of the Australian Mathematical Society
7 International Journal of Engineering Science
7 Siberian Mathematical Journal
7 Operations Research Letters
7 Continuum Mechanics and Thermodynamics
7 Computational Methods in Applied Mathematics
7 Mediterranean Journal of Mathematics
6 Journal of Statistical Physics
6 Acta Mathematica
6 Calcolo
6 Computing
6 Results in Mathematics
6 Probability Theory and Related Fields
6 Applied Mathematical Modelling
6 Journal of Dynamics and Differential Equations
6 SIAM Journal on Optimization
6 SIAM Journal on Scientific Computing
...and 300 more Serials
all top 5

Cited in 51 Fields

1,419 Partial differential equations (35-XX)
1,314 Calculus of variations and optimal control; optimization (49-XX)
567 Numerical analysis (65-XX)
466 Operator theory (47-XX)
394 Mechanics of deformable solids (74-XX)
386 Operations research, mathematical programming (90-XX)
320 Fluid mechanics (76-XX)
174 Statistical mechanics, structure of matter (82-XX)
141 Global analysis, analysis on manifolds (58-XX)
137 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
135 Probability theory and stochastic processes (60-XX)
96 Functional analysis (46-XX)
92 Differential geometry (53-XX)
80 Biology and other natural sciences (92-XX)
66 Classical thermodynamics, heat transfer (80-XX)
59 Systems theory; control (93-XX)
54 Real functions (26-XX)
49 Ordinary differential equations (34-XX)
45 Measure and integration (28-XX)
45 Computer science (68-XX)
38 Potential theory (31-XX)
38 Dynamical systems and ergodic theory (37-XX)
25 Integral equations (45-XX)
24 Information and communication theory, circuits (94-XX)
22 Functions of a complex variable (30-XX)
22 Optics, electromagnetic theory (78-XX)
16 Geophysics (86-XX)
15 Convex and discrete geometry (52-XX)
15 Statistics (62-XX)
14 General topology (54-XX)
14 Quantum theory (81-XX)
13 Approximations and expansions (41-XX)
12 Mechanics of particles and systems (70-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Difference and functional equations (39-XX)
6 Algebraic topology (55-XX)
5 General and overarching topics; collections (00-XX)
3 Mathematical logic and foundations (03-XX)
3 Manifolds and cell complexes (57-XX)
2 History and biography (01-XX)
2 Group theory and generalizations (20-XX)
2 Geometry (51-XX)
2 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
1 Combinatorics (05-XX)
1 Algebraic geometry (14-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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