Edit Profile (opens in new tab) Kinderlehrer, David Compute Distance To: Compute Author ID: 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 2,451 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 all top 5 Fields 67 Partial differential equations (35-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 34 Mechanics of deformable solids (74-XX) 26 Statistical mechanics, structure of matter (82-XX) 12 Probability theory and stochastic processes (60-XX) 9 General and overarching topics; collections (00-XX) 8 Fluid mechanics (76-XX) 8 Biology and other natural sciences (92-XX) 7 Numerical analysis (65-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Differential geometry (53-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Systems theory; control (93-XX) 3 Measure and integration (28-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 102 Publications have been cited 4,187 times in 3,487 Documents Cited by ▼ Year ▼ An introduction to variational inequalities and their applications. Zbl 0457.35001Kinderlehrer, David; Stampacchia, Guido 1,548 1980 The variational formulation of the Fokker-Planck equation. Zbl 0915.35120Jordan, Richard; Kinderlehrer, David; Otto, Felix 530 1998 An introduction to variational inequalities and their applications. Reprint of the 1980 original. Zbl 0988.49003Kinderlehrer, David; Stampacchia, Guido 355 2000 Existence and partial regularity of static liquid crystal configurations. Zbl 0611.35077Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua 151 1986 Characterizations of Young measures generated by gradients. Zbl 0754.49020Kinderlehrer, David; Pedregal, Pablo 133 1991 Regularity in free boundary problems. Zbl 0352.35023Kinderlehrer, D.; Nirenberg, Louis 119 1977 Equilibrium configurations of crystals. Zbl 0673.73012Chipot, Michel; Kinderlehrer, David 108 1988 Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046Kinderlehrer, David; Pedregal, Pablo 102 1994 The smoothness of solutions to nonlinear variational inequalities. Zbl 0278.49011Brézis, Haïm; Kinderlehrer, David 85 1974 Regularity in elliptic free boundary problems. I. Zbl 0402.35045Kinderlehrer, D.; Nirenberg, Louis; Spruck, J. 64 1978 A one phase Stefan problem. Zbl 0334.49002Friedman, Avner; Kinderlehrer, David 56 1975 Potential methods in variational inequalities. Zbl 0455.49010Caffarelli, L. A.; Kinderlehrer, D. 47 1980 Weak convergence of integrands and the Young measure representation. Zbl 0757.49014Kinderlehrer, David; Pedregal, Pablo 47 1992 Stable defects of minimizers of constrained variational principles. Zbl 0657.49018Hardt, R.; Kinderlehrer, D.; Lin, Fang-Hua 39 1988 Smoothness of linear laminates. Zbl 0617.73062Chipot, Michel; Kinderlehrer, David; Caffarelli, Giorgio Vergara 37 1986 Sur une nouvelle formulation du problème de l’ecoulement à travers une digue. Zbl 0391.76072Brézis, Haïm; Kinderlehrer, David; Stampacchia, Guido 36 1978 Evolution of grain boundaries. Zbl 1036.74041Kinderlehrer, David; Liu, Chun 28 2001 The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060Kinderlehrer, David; Nirenberg, Louis 28 1978 Remarks about Signorini’s problem in linear elasticity. Zbl 0482.73017Kinderlehrer, David 27 1981 Theory of diffusionless phase transitions. Zbl 0991.74504James, Richard; Kinderlehrer, David 27 1989 The smoothness of the solution of the boundary obstacle problem. Zbl 0459.35092Kinderlehrer, David 25 1981 A hybrid variational principle for the Keller-Segel system in \(\mathbb{R}^{2}\). Zbl 1334.35086Blanchet, Adrien; Carrillo, José Antonio; Kinderlehrer, David; Kowalczyk, Michał; Laurençot, Philippe; Lisini, Stefano 23 2015 Remarks about equilibrium configurations of crystals. Zbl 0850.73037Kinderlehrer, David 23 1988 Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045Kinderlehrer, David; Nirenberg, Louis 23 1978 Free energy and the Fokker-Planck equation. Zbl 1029.82507Jordan, Richard; Kinderlehrer, David; Otto, Felix 23 1997 Approximation of parabolic equations using the Wasserstein metric. Zbl 0936.65121Kinderlehrer, David; Walkington, Noel J. 22 1999 Numerical approximation of the solution of a variational problem with a double well potential. Zbl 0725.65067Collins, Charles; Kinderlehrer, David; Luskin, Mitchell 22 1991 Elastic plastic deformation. Zbl 0522.73029Hardt, Robert; Kinderlehrer, David 21 1983 Variational inequalities and free boundary problems. Zbl 0382.35004Kinderlehrer, David 19 1978 The shape and smoothness of stable plasma configurations. Zbl 0409.76095Kinderlehrer, David; Spruck, Joel 18 1978 Numerical analysis of oscillations in multiple well problems. Zbl 0824.65045Chipot, M.; Collins, C.; Kinderlehrer, D. 18 1995 The coincidence set of solutions of certain variational inequalities. Zbl 0219.49014Kinderlehrer, D. 17 1971 Mathematical questions of liquid crystal theory. Zbl 0704.76005Hardt, R.; Kinderlehrer, D. 17 1988 A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations. Zbl 1372.35167Kinderlehrer, David; Monsaingeon, Léonard; Xu, Xiang 16 2017 Theory and applications of liquid crystals. Zbl 0713.76006 16 1987 How a minimal surface leaves an obstacle. Zbl 0268.49050Kinderlehrer, David 15 1973 A variational approach to modeling and simulation of grain growth. Zbl 1126.82044Kinderlehrer, David; Livshits, Irene; Ta’asan, Shlomo 14 2006 Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 14 1994 Diffusion-mediated transport and the flashing ratchet. Zbl 1065.76183Kinderlehrer, 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 0551.35003Kinderlehrer, David; Stampacchia, Guido 12 1983 The free boundary determined by the solution to a differential equation. Zbl 0336.35031Kinderlehrer, David 11 1976 A variational principle for molecular motors. Zbl 1032.92005Chipot, Michel; Kinderlehrer, David; Kowalczyk, Michal 11 2003 Some regularity results in ferromagnetism. Zbl 0958.35136Hardt, Robert; Kinderlehrer, David 10 2000 The variety of configurations of static liquid crystals. Zbl 0723.58018Hardt, Robert; Kinderlehrer, David; Lin, Fang Hau 10 1990 Variational inequalities with lower dimensional obstacles. Zbl 0263.49008Kinderlehrer, David 10 1971 Remarks about the flashing rachet. Zbl 1064.35065Dolbeault, Jean; Kinderlehrer, David; Kowalczyk, Michał 9 2004 Transport in a molecular motor system. Zbl 1077.35060Chipot, Michel; Hastings, Stuart; Kinderlehrer, David 8 2004 Recent developments in liquid crystal theory. Zbl 0729.76009Kinderlehrer, D. 8 1991 An entropy based theory of the grain boundary character distribution. Zbl 1230.37098Barmak, Katayun; Eggeling, Eva; Emelianenko, Maria; Epshteyn, Yekaterina; Kinderlehrer, David; Sharp, Richard; Ta’asan, Shlomo 8 2011 Regularity in elliptic free boundary problems. II: Equations of higher order. Zbl 0425.35097Kinderlehrer, D.; Nirenberg, Louis; Spruck, J. 7 1979 Towards a statistical theory of texture evolution in polycrystals. Zbl 1186.37095Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S. 7 2008 Remarks about the analysis of gradient Young measures. Zbl 0833.49012Kinderlehrer, David; Pedregal, P. 6 1992 The elementary defects of the Oseen-Frank energy for a liquid crystal. Zbl 0784.35085Kinderlehrer, David; Ou, Biao; Walkington, Nöel 6 1993 Second variation of liquid crystal energy at \(x/ |{}x|{} \). Zbl 0761.49012Kinderlehrer, David; Ou, Biao 6 1992 An extended variational principle. Zbl 0852.49003Jordan, Richard; Kinderlehrer, David 6 1996 Minimal surfaces whose boundaries contain spikes. Zbl 0193.39301Kinderlehrer, D. 6 1970 The regularity of minimal surfaces defined over slit domains. Zbl 0214.10503Kinderlehrer, D. 5 1971 Remarks about the mathematical theory of liquid crystals. Zbl 0696.49053Hardt, Robert; Kinderlehrer, David; Luskin, Mitchell 5 1988 Estimates for the solution and its stability in Signorini’s problem. Zbl 0487.73126Kinderlehrer, David 4 1982 Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 4 1993 Régularité dans les problèmes elliptiques à frontière libre. Zbl 0386.35045Kinderlehrer, David; Nirenberg, Louis; Spruck, Joel 4 1978 Caractérisation des mesures de Young associées à un gradient. (Characterization of gradient Young measures). Zbl 0759.49005Kinderlehrer, David; Pedregal, Pablo 4 1991 Twinning of crystals. II. Zbl 0638.73007Kinderlehrer, David 4 1987 Discrete and continuous ratchets: From coin toss to molecular motor. Zbl 1009.35037Heath, David; Kinderlehrer, David; Kowalczyk, Michał 4 2002 Contraction in \(L^{1}\) for a system arising in chemical reactions and molecular motors. Zbl 1171.35408Chipot, Michel; Hilhorst, Danielle; Kinderlehrer, David; Olech, Michał 4 2009 The Janossy effect and hybrid variational principles. Zbl 1154.35369Kinderlehrer, David; Kowalczyk, Michał 4 2009 Diffusion mediated transport in multiple state systems. Zbl 1157.34039Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce 4 2007 Diffusion mediated transport with a look at motor proteins. Zbl 1351.35069Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce 4 2008 The boundary regularity of minimal surfaces. Zbl 0185.34603Kinderlehrer, D. 4 1969 Hodograph methods and the smoothness of the free boundary in the one phase Stefan problem. Zbl 0456.35090Kinderlehrer, David; Nirenberg, Louis 3 1978 Frustration and microstructure: An example in magnetostriction. Zbl 0797.49037James, R. D.; Kinderlehrer, D. 3 1993 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 1380.37137Bardsley, Patrick; Barmak, Katayun; Eggeling, Eva; Epshteyn, Yekaterina; Kinderlehrer, David; Ta’asan, Shlomo 3 2017 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 A free boundary value problem in potential theory. Zbl 0303.31003Kinderlehrer, David; Stampacchia, Guido 3 1975 A class of parabolic quasi-variational inequalities. Zbl 0323.35042Friedman, Avner; Kinderlehrer, David 3 1976 Transport via mass transportation. Zbl 1100.35028Kinderlehrer, David; Tudorascu, Adrian 3 2006 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 reflaxation of functionals with surface energies. Zbl 0696.49007Kinderlehrer, David; Vergara-Caffarelli, Giorgio 3 1989 The smoothness of free boundaries governed by elliptic equations and systems. Zbl 0485.35084Kinderlehrer, D. 2 1980 The hysteretic event in the computation of magnetization. Zbl 0873.65114Kinderlehrer, David; Ma, Ling 2 1997 Remarks about gradient Young measures generated by sequences in Sobolev spaces. Zbl 0828.46031Kinderlehrer, David; Pedregal, P. 2 1994 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 2 1986 The partially supported elastic beam. Zbl 0514.73042Gastaldi, Fabio; Kinderlehrer, David 2 1983 Elliptic variational inequalities. Zbl 0356.35023Kinderlehrer, David 2 1975 The regularity of the solution to a certain variational inequality. Zbl 0273.35027Kinderlehrer, David 2 1973 A new perspective on texture evolution. Zbl 1159.82317Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S. 2 2008 Phase transitions in crystals: Towards the analysis of microstructure. Zbl 0731.73074Kinderlehrer, D. 2 1990 How a minimal surface leaves an obstacle. Zbl 0262.53003Kinderlehrer, David 2 1972 Numerical analysis of the vertex models for simulating grain boundary networks. Zbl 1344.37083Torres, C. E.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S. 2 2015 Variational principles with linear growth. Zbl 0706.49001Hardt, Robert; Kinderlehrer, David 2 1989 Geometric growth and character development in large metastable networks. Zbl 1180.37120Barmak, K; Eggeling, E.; Emelianenko, M.; Epshteyn, Y.; Kinderlehrer, D.; Ta’asan, S. 2 2009 Remarks about Signorini’s problem. Zbl 0494.35039Kinderlehrer, David 1 1982 Magnetoelastic interactions. Zbl 0894.73131James, R.; Kinderlehrer, David 1 1996 The hysteretic event in the computation of magnetism and magnetostriction. Zbl 0939.35182Kinderlehrer, D.; Ma, L. 1 1998 Magnetoelastic interactions. Zbl 0864.73057Kinderlehrer, David 1 1996 Remarks about St. Venant solutions in finite elasticity. Zbl 0605.73031Kinderlehrer, David 1 1986 Existence et régularité des configurations statiques des cristaux liquides. (Existence and smoothness of static liquid crystal configurations). Zbl 0614.35072Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua 1 1985 A relation between semi-inverse and Saint-Venant solutions for prisms. Zbl 0628.35035Kinderlehrer, David 1 1986 Some regularity results in plasticity. Zbl 0591.73047Hardt, Robert M.; Kinderlehrer, David 1 1986 A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations. Zbl 1372.35167Kinderlehrer, David; Monsaingeon, Léonard; Xu, Xiang 16 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 1380.37137Bardsley, Patrick; Barmak, Katayun; Eggeling, Eva; Epshteyn, Yekaterina; Kinderlehrer, David; Ta’asan, Shlomo 3 2017 A hybrid variational principle for the Keller-Segel system in \(\mathbb{R}^{2}\). Zbl 1334.35086Blanchet, 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 1344.37083Torres, C. E.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S. 2 2015 An entropy based theory of the grain boundary character distribution. Zbl 1230.37098Barmak, Katayun; Eggeling, Eva; Emelianenko, Maria; Epshteyn, Yekaterina; Kinderlehrer, David; Sharp, Richard; Ta’asan, Shlomo 8 2011 Contraction in \(L^{1}\) for a system arising in chemical reactions and molecular motors. Zbl 1171.35408Chipot, Michel; Hilhorst, Danielle; Kinderlehrer, David; Olech, Michał 4 2009 The Janossy effect and hybrid variational principles. Zbl 1154.35369Kinderlehrer, David; Kowalczyk, Michał 4 2009 Geometric growth and character development in large metastable networks. Zbl 1180.37120Barmak, K; Eggeling, E.; Emelianenko, M.; Epshteyn, Y.; Kinderlehrer, D.; Ta’asan, S. 2 2009 Towards a statistical theory of texture evolution in polycrystals. Zbl 1186.37095Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S. 7 2008 Diffusion mediated transport with a look at motor proteins. Zbl 1351.35069Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce 4 2008 A new perspective on texture evolution. Zbl 1159.82317Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S. 2 2008 Diffusion mediated transport in multiple state systems. Zbl 1157.34039Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce 4 2007 A variational approach to modeling and simulation of grain growth. Zbl 1126.82044Kinderlehrer, David; Livshits, Irene; Ta’asan, Shlomo 14 2006 Transport via mass transportation. Zbl 1100.35028Kinderlehrer, David; Tudorascu, Adrian 3 2006 Remarks on a multiscale approach to grain growth in polycrystals. Zbl 1105.74006Barmak, Katayun; Kinderlehrer, David; Livshits, Irine; Ta’asan, Shlomo 1 2006 Remarks about diffusion mediated transport: thinking about motion in small systems. Zbl 1099.35005Hastings, S.; Kinderlehrer, D. 1 2005 Remarks about the flashing rachet. Zbl 1064.35065Dolbeault, Jean; Kinderlehrer, David; Kowalczyk, Michał 9 2004 Transport in a molecular motor system. Zbl 1077.35060Chipot, Michel; Hastings, Stuart; Kinderlehrer, David 8 2004 A variational principle for molecular motors. Zbl 1032.92005Chipot, Michel; Kinderlehrer, David; Kowalczyk, Michal 11 2003 Diffusion-mediated transport and the flashing ratchet. Zbl 1065.76183Kinderlehrer, David; Kowalczyk, Michał 13 2002 Discrete and continuous ratchets: From coin toss to molecular motor. Zbl 1009.35037Heath, David; Kinderlehrer, David; Kowalczyk, Michał 4 2002 Evolution of grain boundaries. Zbl 1036.74041Kinderlehrer, David; Liu, Chun 28 2001 An introduction to variational inequalities and their applications. Reprint of the 1980 original. Zbl 0988.49003Kinderlehrer, David; Stampacchia, Guido 355 2000 Some regularity results in ferromagnetism. Zbl 0958.35136Hardt, Robert; Kinderlehrer, David 10 2000 Approximation of parabolic equations using the Wasserstein metric. Zbl 0936.65121Kinderlehrer, David; Walkington, Noel J. 22 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 0915.35120Jordan, Richard; Kinderlehrer, David; Otto, Felix 530 1998 The hysteretic event in the computation of magnetism and magnetostriction. Zbl 0939.35182Kinderlehrer, D.; Ma, L. 1 1998 Free energy and the Fokker-Planck equation. Zbl 1029.82507Jordan, Richard; Kinderlehrer, David; Otto, Felix 23 1997 The hysteretic event in the computation of magnetization. Zbl 0873.65114Kinderlehrer, David; Ma, Ling 2 1997 An extended variational principle. Zbl 0852.49003Jordan, Richard; Kinderlehrer, David 6 1996 Magnetoelastic interactions. Zbl 0894.73131James, R.; Kinderlehrer, David 1 1996 Magnetoelastic interactions. Zbl 0864.73057Kinderlehrer, David 1 1996 Numerical analysis of oscillations in multiple well problems. Zbl 0824.65045Chipot, M.; Collins, C.; Kinderlehrer, D. 18 1995 Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046Kinderlehrer, David; Pedregal, Pablo 102 1994 Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 14 1994 Remarks about gradient Young measures generated by sequences in Sobolev spaces. Zbl 0828.46031Kinderlehrer, David; Pedregal, P. 2 1994 The elementary defects of the Oseen-Frank energy for a liquid crystal. Zbl 0784.35085Kinderlehrer, David; Ou, Biao; Walkington, Nöel 6 1993 Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 4 1993 Frustration and microstructure: An example in magnetostriction. Zbl 0797.49037James, R. D.; Kinderlehrer, D. 3 1993 Weak convergence of integrands and the Young measure representation. Zbl 0757.49014Kinderlehrer, David; Pedregal, Pablo 47 1992 Remarks about the analysis of gradient Young measures. Zbl 0833.49012Kinderlehrer, David; Pedregal, P. 6 1992 Second variation of liquid crystal energy at \(x/ |{}x|{} \). Zbl 0761.49012Kinderlehrer, David; Ou, Biao 6 1992 Characterizations of Young measures generated by gradients. Zbl 0754.49020Kinderlehrer, David; Pedregal, Pablo 133 1991 Numerical approximation of the solution of a variational problem with a double well potential. Zbl 0725.65067Collins, Charles; Kinderlehrer, David; Luskin, Mitchell 22 1991 Recent developments in liquid crystal theory. Zbl 0729.76009Kinderlehrer, D. 8 1991 Caractérisation des mesures de Young associées à un gradient. (Characterization of gradient Young measures). Zbl 0759.49005Kinderlehrer, David; Pedregal, Pablo 4 1991 The variety of configurations of static liquid crystals. Zbl 0723.58018Hardt, Robert; Kinderlehrer, David; Lin, Fang Hau 10 1990 Phase transitions in crystals: Towards the analysis of microstructure. Zbl 0731.73074Kinderlehrer, D. 2 1990 Theory of diffusionless phase transitions. Zbl 0991.74504James, Richard; Kinderlehrer, David 27 1989 The reflaxation of functionals with surface energies. Zbl 0696.49007Kinderlehrer, David; Vergara-Caffarelli, Giorgio 3 1989 Variational principles with linear growth. Zbl 0706.49001Hardt, Robert; Kinderlehrer, David 2 1989 Equilibrium configurations of crystals. Zbl 0673.73012Chipot, Michel; Kinderlehrer, David 108 1988 Stable defects of minimizers of constrained variational principles. Zbl 0657.49018Hardt, R.; Kinderlehrer, D.; Lin, Fang-Hua 39 1988 Remarks about equilibrium configurations of crystals. Zbl 0850.73037Kinderlehrer, David 23 1988 Mathematical questions of liquid crystal theory. Zbl 0704.76005Hardt, R.; Kinderlehrer, D. 17 1988 Remarks about the mathematical theory of liquid crystals. Zbl 0696.49053Hardt, Robert; Kinderlehrer, David; Luskin, Mitchell 5 1988 Theory and applications of liquid crystals. Zbl 0713.76006 16 1987 Twinning of crystals. II. Zbl 0638.73007Kinderlehrer, 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 0611.35077Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua 151 1986 Smoothness of linear laminates. Zbl 0617.73062Chipot, Michel; Kinderlehrer, David; Caffarelli, Giorgio Vergara 37 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 2 1986 Remarks about St. Venant solutions in finite elasticity. Zbl 0605.73031Kinderlehrer, David 1 1986 A relation between semi-inverse and Saint-Venant solutions for prisms. Zbl 0628.35035Kinderlehrer, David 1 1986 Some regularity results in plasticity. Zbl 0591.73047Hardt, Robert M.; Kinderlehrer, David 1 1986 Existence et régularité des configurations statiques des cristaux liquides. (Existence and smoothness of static liquid crystal configurations). Zbl 0614.35072Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua 1 1985 Elastic plastic deformation. Zbl 0522.73029Hardt, 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 0551.35003Kinderlehrer, David; Stampacchia, Guido 12 1983 The partially supported elastic beam. Zbl 0514.73042Gastaldi, Fabio; Kinderlehrer, David 2 1983 Estimates for the solution and its stability in Signorini’s problem. Zbl 0487.73126Kinderlehrer, David 4 1982 Remarks about Signorini’s problem. Zbl 0494.35039Kinderlehrer, David 1 1982 Remarks about Signorini’s problem in linear elasticity. Zbl 0482.73017Kinderlehrer, David 27 1981 The smoothness of the solution of the boundary obstacle problem. Zbl 0459.35092Kinderlehrer, David 25 1981 An introduction to variational inequalities and their applications. Zbl 0457.35001Kinderlehrer, David; Stampacchia, Guido 1,548 1980 Potential methods in variational inequalities. Zbl 0455.49010Caffarelli, L. A.; Kinderlehrer, D. 47 1980 The smoothness of free boundaries governed by elliptic equations and systems. Zbl 0485.35084Kinderlehrer, D. 2 1980 Regularity in elliptic free boundary problems. II: Equations of higher order. Zbl 0425.35097Kinderlehrer, D.; Nirenberg, Louis; Spruck, J. 7 1979 Regularity in elliptic free boundary problems. I. Zbl 0402.35045Kinderlehrer, D.; Nirenberg, Louis; Spruck, J. 64 1978 Sur une nouvelle formulation du problème de l’ecoulement à travers une digue. Zbl 0391.76072Brézis, Haïm; Kinderlehrer, David; Stampacchia, Guido 36 1978 The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060Kinderlehrer, David; Nirenberg, Louis 28 1978 Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045Kinderlehrer, David; Nirenberg, Louis 23 1978 Variational inequalities and free boundary problems. Zbl 0382.35004Kinderlehrer, David 19 1978 The shape and smoothness of stable plasma configurations. Zbl 0409.76095Kinderlehrer, David; Spruck, Joel 18 1978 Régularité dans les problèmes elliptiques à frontière libre. Zbl 0386.35045Kinderlehrer, David; Nirenberg, Louis; Spruck, Joel 4 1978 Hodograph methods and the smoothness of the free boundary in the one phase Stefan problem. Zbl 0456.35090Kinderlehrer, David; Nirenberg, Louis 3 1978 Regularity in free boundary problems. Zbl 0352.35023Kinderlehrer, D.; Nirenberg, Louis 119 1977 The free boundary determined by the solution to a differential equation. Zbl 0336.35031Kinderlehrer, David 11 1976 A class of parabolic quasi-variational inequalities. Zbl 0323.35042Friedman, Avner; Kinderlehrer, David 3 1976 A one phase Stefan problem. Zbl 0334.49002Friedman, Avner; Kinderlehrer, David 56 1975 A free boundary value problem in potential theory. Zbl 0303.31003Kinderlehrer, David; Stampacchia, Guido 3 1975 Elliptic variational inequalities. Zbl 0356.35023Kinderlehrer, David 2 1975 The smoothness of solutions to nonlinear variational inequalities. Zbl 0278.49011Brézis, Haïm; Kinderlehrer, David 85 1974 How a minimal surface leaves an obstacle. Zbl 0268.49050Kinderlehrer, David 15 1973 The regularity of the solution to a certain variational inequality. Zbl 0273.35027Kinderlehrer, David 2 1973 How a minimal surface leaves an obstacle. Zbl 0262.53003Kinderlehrer, David 2 1972 The coincidence set of solutions of certain variational inequalities. Zbl 0219.49014Kinderlehrer, D. 17 1971 Variational inequalities with lower dimensional obstacles. Zbl 0263.49008Kinderlehrer, David 10 1971 The regularity of minimal surfaces defined over slit domains. Zbl 0214.10503Kinderlehrer, D. 5 1971 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,598 Authors 81 Noor, Muhammad Aslam 52 Yao, Jen-Chih 36 Nagurney, Anna 34 Carrillo de la Plata, José Antonio 33 Shehu, Yekini 29 Chipot, Michel 29 Dang Van Hieu 27 Kinderlehrer, David 26 Sofonea, Mircea 25 Ceng, Lu-Chuan 25 Noor, Khalida Inayat 24 Caffarelli, Luis Ángel 21 Dương Việt Thông 21 Savaré, Giuseppe 20 Ansari, Qamrul Hasan 19 Mielke, Alexander 18 Friedman, Avner 18 Migórski, Stanisław 17 Brenner, Susanne Cecelia 17 Byun, Sun-Sig 17 Han, Weimin 17 Hintermüller, Michael 17 Le, Vy Khoi 17 Pedregal, Pablo 17 Shahgholian, Henrik 16 Matthes, Daniel 16 Santambrogio, Filippo 15 Cho, Yeol Je 15 Li, Wuchen 14 Bnouhachem, Abdellah 14 Gwinner, Joachim 14 Peletier, Mark Adriaan 14 Verma, Ram U. 14 Vuong, Phan Tu 14 Wen, Chingfeng 13 Cojocaru, Monica-Gabriela 13 Fonseca, Irene 13 Iyiola, Olaniyi Samuel 13 Kružík, Martin 13 Vázquez Cendón, Carlos 13 Zhang, Kewei 12 Ambrosio, Luigi 12 Carlier, Guillaume 12 Dolzmann, Georg 12 Gibali, Aviv 12 Iiduka, Hideaki 12 Jolaoso, Lateef Olakunle 12 Lin, Fang Hua 12 Liu, Chun 12 Maas, Jan 12 Ortiz, Michael 12 Serfaty, Sylvia 12 Nguyen Dong Yen 11 Al-Said, Eisa A. 11 Bayada, Guy 11 Dong, Qiaoli 11 Gudi, Thirupathi 11 Huang, Nan-Jing 11 Kumam, Poom 11 Otárola, Enrique 10 Daniele, Patrizia 10 Dong, June 10 Erbar, Matthias 10 Hardt, Robert M. 10 Lê Dung Muu 10 Pastukhova, Svetlana Evgenievna 10 Rodrigues, José Francisco 10 Zinsl, Jonathan 9 Brézis, Haïm 9 Cancès, Clément 9 Carstensen, Carsten 9 Conti, Sergio 9 De Silva, Daniela 9 Díaz Díaz, Jesús Ildefonso 9 Frehse, Jens 9 Fuchs, Martin 9 Kim, Inwon Christina 9 Kristensen, Jan 9 Porwal, Kamana 9 Raciti, Fabio 9 Reich, Simeon 9 Sychev, Mikhail A. 9 Yao, Yonghong 9 Zhikov, Vasiliĭ Vasil’evich 8 Agueh, Martial 8 Blanchet, Adrien 8 Canevari, Giacomo 8 Chen, Yongxin 8 Ding, Xie Ping 8 Gallouët, Thomas O. 8 Liou, Yeongcheng 8 Luskin, Mitchell 8 Monsaingeon, Léonard 8 Nochetto, Ricardo Horacio 8 Pham Ky Anh 8 Rautenberg, Carlos N. 8 Roubíček, Tomáš 8 Sturm, Karl-Theodor 8 Sunthrayuth, Pongsakorn 8 Temam, Roger Meyer ...and 3,498 more Authors all top 5 Cited in 438 Serials 125 Archive for Rational Mechanics and Analysis 120 Nonlinear Analysis. 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Zeitschrift für angewandte Mathematik und Physik 16 Computational Optimization and Applications 15 Inventiones Mathematicae 15 SIAM Journal on Applied Mathematics 15 Nonlinear Analysis. Real World Applications 14 Journal of the Mechanics and Physics of Solids 14 Physica D 13 RAIRO. Modélisation Mathématique et Analyse Numérique 13 Annals of Operations Research 13 Potential Analysis 13 Set-Valued and Variational Analysis 12 Journal d’Analyse Mathématique 12 Mathematische Annalen 12 Zeitschrift für Analysis und ihre Anwendungen 12 Acta Applicandae Mathematicae 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 SIAM Journal on Scientific Computing 10 Journal of Applied Mathematics 9 Applications of Mathematics 9 Cybernetics and Systems Analysis 9 Computational and Applied Mathematics 9 NoDEA. Nonlinear Differential Equations and Applications 9 Journal of Fixed Point Theory and Applications 9 Networks and Heterogeneous Media 9 Journal of Elliptic and Parabolic Equations 8 Operations Research Letters 8 Journal of Elasticity 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 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 8 Communications on Pure and Applied Analysis 8 Advances in Calculus of Variations 7 Bulletin of the Australian Mathematical Society 7 Results in Mathematics 7 Siberian Mathematical Journal 7 International Journal of Computer Mathematics 7 SIAM Journal on Optimization ...and 338 more Serials all top 5 Cited in 52 Fields 1,610 Partial differential equations (35-XX) 1,500 Calculus of variations and optimal control; optimization (49-XX) 692 Numerical analysis (65-XX) 582 Operator theory (47-XX) 456 Operations research, mathematical programming (90-XX) 415 Mechanics of deformable solids (74-XX) 356 Fluid mechanics (76-XX) 190 Statistical mechanics, structure of matter (82-XX) 169 Probability theory and stochastic processes (60-XX) 166 Global analysis, analysis on manifolds (58-XX) 154 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 112 Functional analysis (46-XX) 107 Differential geometry (53-XX) 92 Biology and other natural sciences (92-XX) 66 Classical thermodynamics, heat transfer (80-XX) 65 Real functions (26-XX) 63 Systems theory; control (93-XX) 59 Computer science (68-XX) 52 Measure and integration (28-XX) 48 Ordinary differential equations (34-XX) 45 Dynamical systems and ergodic theory (37-XX) 41 Potential theory (31-XX) 29 Information and communication theory, circuits (94-XX) 27 Integral equations (45-XX) 26 Statistics (62-XX) 26 Optics, electromagnetic theory (78-XX) 24 Functions of a complex variable (30-XX) 20 General topology (54-XX) 18 Geophysics (86-XX) 17 Convex and discrete geometry (52-XX) 16 Quantum theory (81-XX) 14 Approximations and expansions (41-XX) 13 Mechanics of particles and systems (70-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 9 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) 4 Mathematical logic and foundations (03-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 3 Algebraic geometry (14-XX) 2 History and biography (01-XX) 2 Combinatorics (05-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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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