Edit Profile (opens in new tab) Henrot, Antoine Co-Author Distance Author ID: henrot.antoine Published as: Henrot, Antoine; Henrot, A.; Henrott, Antoine more...less Homepage: https://iecl.univ-lorraine.fr/membre-iecl/henrot-antoine/ External Links: MGP · dblp Documents Indexed: 108 Publications since 1989, including 3 Books and 8 Additional arXiv Preprints 5 Contributions as Editor Reviewing Activity: 29 Reviews Co-Authors: 85 Co-Authors with 104 Joint Publications 1,740 Co-Co-Authors all top 5 Co-Authors 9 single-authored 9 Bucur, Dorin 8 Pierre, Michel 7 Bianchini, Chiara 7 Lucardesi, Ilaria 7 Privat, Yannick 6 Philippin, Gérard A. 6 Shahgholian, Henrik 6 Sokołowski, Jan 5 Croce, Gisella 4 Brandolini, Barbara 4 Michetti, Marco 4 Miranville, Alain M. 3 Bogoşel, Beniamin 3 Buttazzo, Giuseppe 3 Choulli, Mourad 3 Laamri, El Haj 3 Schmitt, Didier 3 Takahashi, Takéo 3 Trombetti, Cristina 2 Alaa, Noureddine 2 Allaire, Grégoire 2 Ammari, Kais 2 Cavallina, Lorenzo 2 Chatelain, Thierry 2 Chiacchio, Francesco 2 Coulaud, Olivier 2 Dalphin, Jérémy 2 Dambrine, Marc 2 Deheuvels, Thibaut 2 Delyon, Alexandre 2 Harrell, Evans M. II 2 Hébrard, Pascal 2 Lemenant, Antoine 2 Mazari-Fouquer, Idriss 2 Oudet, Edouard 2 Pisante, Giovanni 2 Rihani, Mounir 2 Roche, Jean Rodolphe 2 Sakaguchi, Shigeru 2 Salani, Paolo 2 Tucsnak, Marius 2 Zochowski, Antoni 1 Acker, Andrew F. 1 Al Sayed, Abdelkader 1 Antunes, Pedro Ricardo Simão 1 Ashbaugh, Mark S. 1 Baillet, Séverine 1 Barkatou, Mohammed 1 Beck, Thomas L. 1 Bonfante, Guillaume 1 Brock, Friedemann 1 Burdzy, Krzysztof 1 Cabré, Xavier 1 Cox, Steven J. 1 Deloup, Florian L. 1 Freitas, Pedro 1 Funano, Kei 1 Gastaldello, Raphael 1 Girouard, Alexandre 1 Hayouni, Mohammed 1 Horn, Werner 1 Jackowska-Strumiłło, Lidia 1 Lagacé, Jean 1 Lamboley, Jimmy 1 Langford, Jeffrey J. 1 Larson, Simon 1 Laugesen, Richard Snyder 1 Magnanini, Rolando 1 Maillot, Hervé 1 Masnou, Simon 1 Mercaldo, Anna 1 Mokhtar-Kharroubi, Mustapha 1 Mounjid, Othmane 1 Nacry, Florent 1 Nitsch, Carlo 1 Onodera, Michiaki 1 Peralta-Salas, Daniel 1 Posteraro, Maria Rosaria 1 Prébet, H. 1 Reichel, Wolfgang 1 Safoui, Abdessalam 1 Samouh, N. 1 Seck, Diaraf 1 Smits, Robert G. 1 Steinerberger, Stefan 1 Takashi, T. 1 Villemin, Grégory 1 Zucco, Davide all top 5 Serials 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Archive for Rational Mechanics and Analysis 4 The Journal of Geometric Analysis 3 Control and Cybernetics 3 SIAM Journal on Mathematical Analysis 3 Advances in Mathematical Sciences and Applications 3 Journal of Convex Analysis 3 Interfaces and Free Boundaries 3 Communications on Pure and Applied Analysis 2 Indiana University Mathematics Journal 2 Mathematische Nachrichten 2 SIAM Journal on Control and Optimization 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Asymptotic Analysis 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Discrete and Continuous Dynamical Systems. Series S 2 Matapli 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 Transport Theory and Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Mathematika 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Applied Mathematics and Computer Science 1 Communications in Partial Differential Equations 1 Potential Analysis 1 Computational Optimization and Applications 1 Communications in Analysis and Geometry 1 Calculus of Variations and Partial Differential Equations 1 Mathematical Research Letters 1 Methods and Applications of Analysis 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Journal of the European Mathematical Society (JEMS) 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Evolution Equations 1 Comptes Rendus de l’Académie des Sciences. Série IIb. Mécanique 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Lecture Notes in Mathematics 1 Mathématiques & Applications (Berlin) 1 EMS Tracts in Mathematics 1 Journal of Spectral Theory 1 Journal de l’École Polytechnique – Mathématiques 1 Frontiers in Mathematics all top 5 Fields 74 Partial differential equations (35-XX) 61 Calculus of variations and optimal control; optimization (49-XX) 14 Convex and discrete geometry (52-XX) 12 Mechanics of deformable solids (74-XX) 10 Fluid mechanics (76-XX) 7 Numerical analysis (65-XX) 6 General and overarching topics; collections (00-XX) 5 Potential theory (31-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 86 Publications have been cited 1,645 times in 1,175 Documents Cited by ▼ Year ▼ Extremum problems for eigenvalues of elliptic operators. Zbl 1109.35081 Henrot, Antoine 378 2006 Variation and optimization of formes. A geometric analysis. (Variation et optimisation de formes. Une analyse géométrique.) Zbl 1098.49001 Henrot, Antoine; Pierre, Michel 341 2005 Shape variation and optimization. A geometrical analysis. Zbl 1392.49001 Henrot, Antoine; Pierre, Michel 128 2018 Shape optimization and spectral theory. Zbl 1369.49004 46 2017 Existence results for some optimal partition problems. Zbl 0915.49006 Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 38 1998 Asymptotic behaviour of the solutions and optimal location of the actuator for the pointwise stabilization of a string. Zbl 0994.35030 Ammari, Kais; Henrot, Antoine; Tucsnak, Marius 38 2001 Minimization problems for eigenvalues of the Laplacian. Zbl 1049.49029 Henrot, Antoine 32 2003 A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative. Zbl 1194.35282 Brock, F.; Henrot, Antoine 27 2002 Existence of classical solutions to a free boundary problem for the \(p\)-Laplace operator. I: The exterior convex case. Zbl 0955.35078 Henrot, Antoine; Shahgholian, Henrik 26 2000 Existence of classical solutions to a free boundary problem for the \(p\)-Laplace operator. II: The interior convex case. Zbl 0977.35148 Henrot, Antoine; Shahgholian, Henrik 24 2000 A spillover phenomenon in the optimal location of actuators. Zbl 1083.49002 Hébrard, Pascal; Henrot, Antoine 23 2005 Optimal shape and position of the actuators for the stabilization of a string. Zbl 1134.93399 Hébrard, Pascal; Henrott, Antoine 22 2003 Minimizing the second eigenvalue of the Laplace operator with Dirichlet boundary conditions. Zbl 1055.35080 Henrot, Antoine; Oudet, Edouard 21 2003 Use of the domain derivative to prove symmetry results in partial differential equations. Zbl 0912.35114 Choulli, Mourad; Henrot, Antoine 19 1998 Continuity with respect to the domain for the Laplacian: A survey. Zbl 0822.35029 Henrot, Antoine 19 1994 Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032 Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 19 2009 Convexity of free boundaries with Bernoulli type boundary condition. Zbl 0863.35117 Henrot, Antoine; Shahgholian, Henrik 19 1997 Minimization of the third eigenvalue of the Dirichlet Laplacian. Zbl 0974.35082 Bucur, Dorin; Henrot, Antoine 18 2000 What is the optimal shape of a pipe? Zbl 1304.76022 Henrot, Antoine; Privat, Yannick 18 2010 Optimal location of the actuator for the pointwise stabilization of a string. Zbl 0949.35083 Ammari, Kais; Tucsnak, Marius; Henrot, Antoine 17 2000 Maximization of the second non-trivial Neumann eigenvalue. Zbl 1423.35271 Bucur, Dorin; Henrot, Antoine 17 2019 Un problème inverse en formage des métaux liquides. (An inverse problem for liquid metals forming). Zbl 0672.65101 Henrot, Antoine; Pierre, Michel 16 1989 Some overdetermined boundary value problems with elliptical free boundaries. Zbl 0921.35196 Henrot, Antoine; Philippin, Gérard A. 15 1998 On some recent advances in shape optimization. Zbl 0986.49023 Allaire, Grégoire; Henrot, Antoine 14 2001 Subsolutions and supersolutions in a free boundary problem. Zbl 0809.35172 Henrot, Antoine 13 1994 Numerical approximation of a free boundary problem arising in electromagnetic shaping. Zbl 0804.65129 Coulaud, O.; Henrot, A. 13 1994 An overdetermined problem with non-constant boundary condition. Zbl 1297.35153 Bianchini, Chiara; Henrot, Antoine; Salani, Paolo 13 2014 Some isoperimetric inequalities with application to the Stekloff problem. Zbl 1155.26019 Henrot, Antoine; Philippin, Gérard A.; Safoui, A. 12 2008 On numerical solution of shape inverse problems. Zbl 1033.65048 Jackowska-Strumillo, L.; Sokolowski, J.; Żochowski, A.; Henrot, A. 11 2002 On the first twisted Dirichlet eigenvalue. Zbl 1110.58003 Freitas, Pedro; Henrot, Antoine 11 2004 Optimization of the shape and the location of the actuators in an internal control problem. Zbl 1177.49061 Henrot, Antoine; Maillot, Hervé 10 2001 A new isoperimetric inequality for the elasticae. Zbl 1377.49047 Bucur, Dorin; Henrot, Antoine 10 2017 Some results about Schiffer’s conjectures. Zbl 0932.35202 Chatelain, Thierry; Henrot, Antoine 9 1999 On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian. Zbl 1228.35156 Antunes, Pedro R. S.; Henrot, Antoine 9 2011 Overdetermined problems on ring shaped domains. Zbl 0946.35035 Henrot, A.; Philippin, G. A.; Prébet, H. 9 1999 The one phase free boundary problem for the \(p\)-Laplacian with non-constant Bernoulli boundary condition. Zbl 0988.35174 Henrot, Antoine; Shahgholian, Henrik 9 2002 On two functionals involving the maximum of the torsion function. Zbl 1442.35281 Henrot, Antoine; Lucardesi, Ilaria; Philippin, Gérard 9 2018 An isoperimetric inequality for a nonlinear eigenvalue problem. Zbl 1243.49048 Croce, Gisella; Henrot, Antoine; Pisante, Giovanni 8 2012 About existence of equilibria in electromagnetic casting. Zbl 0731.76092 Henrot, Antoine; Pierre, Michel 8 1991 On a class of overdetermined eigenvalue problems. Zbl 0881.35082 Henrot, Antoine; Philippin, Gérard A. 7 1997 On the minimization of total mean curvature. Zbl 1354.52010 Dalphin, J.; Henrot, A.; Masnou, S.; Takahashi, T. 7 2016 From Steklov to Neumann via homogenisation. Zbl 1458.35040 Girouard, Alexandre; Henrot, Antoine; Lagacé, Jean 7 2021 Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint. Zbl 1401.35217 Bogosel, B.; Henrot, A.; Lucardesi, I. 7 2018 About critical points of the energy in an electromagnetic shaping problem. Zbl 0820.35139 Henrot, Antoine; Pierre, Michel 6 1992 Optimizing the first Dirichlet eigenvalue of the Laplacian with an obstacle. Zbl 1445.35263 Henrot, Antoine; Zucco, Davide 6 2019 Optimal concavity of the torsion function. Zbl 1400.35190 Henrot, Antoine; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina 6 2018 An optimal Poincaré-Wirtinger inequality in Gauss space. Zbl 1286.35052 Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina 6 2013 On the Bernoulli free boundary problem and related shape optimization problems. Zbl 0972.35192 Hayouni, M.; Henrot, A.; Samouh, N. 5 2001 The stadium does not minimize \(\lambda_2\) amongst convex plane domains. (Le stade ne minimise pas \(\lambda_2\) parmi les ouverts convexes du plan.) Zbl 1011.35100 Henrot, Antoine; Oudet, Edouard 5 2001 A shape optimization problem for the heat equation. Zbl 0921.35063 Henrot, Antoine; Sokołowski, Jan 5 1998 Approximate radial symmetry for solutions of a class of boundary value problems in ring-shaped domains. Zbl 1099.35504 Henrot, A.; Philippin, G. A. 5 2003 Elastic energy of a convex body. Zbl 1339.52005 Bianchini, Chiara; Henrot, Antoine; Takahashi, Takéo 5 2016 Eliciting harmonics on strings. Zbl 1154.35411 Cox, Steven J.; Henrot, Antoine 4 2008 Existence of minimizers for eigenvalues of the Dirichlet-Laplacian with a drift. Zbl 1323.35107 Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina 4 2015 Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244 Bucur, Dorin; Henrot, Antoine; Michetti, Marco 4 2021 Mini-workshop: Shape analysis for eigenvalues. Abstracts from the mini-workshop held April 8–14, 2007. Zbl 1177.49004 3 2007 Continuity of the elasticity system solutions with respect to the geometrical domain variations. Zbl 1001.74008 Bucur, D.; Henrot, A.; Sokolowski, J.; Żochowski, A. 3 2001 About existence of a free boundary in electromagnetic shaping. Zbl 0696.35194 Henrot, A.; Pierre, M. 3 1989 A nonlinear boundary value problem solved by spectral methods. Zbl 0719.35025 Coulaud, Olivier; Henrot, Antoine 3 1992 How to prove symmetry in shape optimization problems? Zbl 0889.49028 Henrot, Antoine 3 1996 Some new ideas for a Schiffer’s conjecture. Zbl 0881.35083 Chatelain, T.; Choulli, M.; Henrot, A. 3 1996 An optimum design problem in magnetostatics. Zbl 1054.49030 Henrot, Antoine; Villemin, Grégory 3 2002 A cylindrical pipe is not optimal to minimize the energy dissipated by a fluid. (Une conduite cylindrique n’est pas optimale pour minimiser l’énergie dissipée par un fluide.) Zbl 1156.35444 Henrot, Antoine; Privat, Yannick 3 2008 Maximization of the Steklov eigenvalues with a diameter constraint. Zbl 1457.49028 Al Sayed, Abdelkader; Bogosel, Beniamin; Henrot, Antoine; Nacry, Florent 3 2021 Nondispersal and density properties of infinite packings. Zbl 1417.49056 Delyon, Alexandre; Henrot, Antoine; Privat, Yannick 3 2019 Hyperbolic solutions to Bernoulli’s free boundary problem. Zbl 1462.35210 Henrot, Antoine; Onodera, Michiaki 3 2021 Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations. Zbl 1467.49034 Henrot, Antoine; Mazari, Idriss; Privat, Yannick 3 2021 On some spectral problems arising in dynamic populations. Zbl 1266.49007 Henrot, Antoine; Laamri, El-Haj; Schmitt, Didier 3 2012 Convergence results for a semilinear problem and for a Stokes problem in a periodic geometry. Zbl 1122.35141 Baillet, Séverine; Henrot, Antoine; Takahashi, Takéo 2 2006 Positivity of the shape Hessian and instability of some equilibrium shapes. Zbl 1072.49028 Henrot, Antoine; Pierre, Michel; Rihani, Mounir 2 2004 Returning to an old approach for a classical free boundary problem. (Retour à une ancienne approche pour un problème à frontière libre classique.) Zbl 0996.35088 Henrot, Antoine; Seck, Diaraf 2 1997 The multi-layer free boundary problem for the \(p\)-Laplacian in convex domains. Zbl 1050.35148 Acker, Andrew; Henrot, Antoine; Poghosyan, Michael; Shahgholian, Henrik 2 2004 On the local minimizers of the Mahler volume. Zbl 1330.49043 Harrell, E. M.; Henrot, A.; Lamboley, J. 2 2015 Mathematical challenges in shape optimization. Zbl 1167.49329 Sokołowski, J.; Henrot, A. 2 2005 Elasticae and inradius. Zbl 1358.52003 Henrot, Antoine; Mounjid, Othmane 2 2017 On the quantitative isoperimetric inequality in the plane. Zbl 1456.49034 Bianchini, Chiara; Croce, Gisella; Henrot, Antoine 2 2017 Corrigendum to: “An isoperimetric inequality for a nonlinear eigenvalue problem”. Zbl 1332.49041 Croce, Gisella; Henrot, Antoine; Pisante, Giovanni 2 2015 On the maximization of a class of functionals on convex regions, and the characterization of the farthest convex set. Zbl 1202.52001 Harrell, Evans M. II; Henrot, Antoine 2 2010 Shape minimization of dendritic attenuation. Zbl 1133.92003 Henrot, Antoine; Privat, Yannick 1 2008 Domain derivative of the leading eigenvalue of a model transport operator. Zbl 0944.35054 Choulli, Mourad; Henrot, Antoine; Mokhtar-Kharroubi, Mustapha 1 1999 An existence result in shape optimization using a geometric property of the normal vector. (Un résultat d’existence en optimisation de forme en utilisant une propriété géométrique de la normale.) Zbl 0920.49027 Barkatou, Mohammed; Henrot, Antoine 1 1997 New directions in shape optimization. (Nouvelles tendances en optimisation de forme.) Zbl 1238.49002 Henrot, Antoine; Sokolowski, Jan 1 2004 Stability for the Dirichlet problem under continuous Steiner symmetrization. Zbl 0977.31007 Bucur, Dorin; Henrot, Antoine 1 2000 Behaviour of the free boundary in electromagnetic shaping when the surface tension vanishes. Zbl 0777.35078 Henrot, Antoine 1 1993 Improved bounds for Hermite-Hadamard inequalities in higher dimensions. Zbl 1462.26022 Beck, Thomas; Brandolini, Barbara; Burdzy, Krzysztof; Henrot, Antoine; Langford, Jeffrey J.; Larson, Simon; Smits, Robert; Steinerberger, Stefan 1 2021 The missing \((A,D,r)\) diagram. (Le diagramme \((A,D,r)\) manquant.) Zbl 1497.49053 Delyon, Alexandre; Henrot, Antoine; Privat, Yannick 1 2022 The missing \((A,D,r)\) diagram. (Le diagramme \((A,D,r)\) manquant.) Zbl 1497.49053 Delyon, Alexandre; Henrot, Antoine; Privat, Yannick 1 2022 From Steklov to Neumann via homogenisation. Zbl 1458.35040 Girouard, Alexandre; Henrot, Antoine; Lagacé, Jean 7 2021 Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244 Bucur, Dorin; Henrot, Antoine; Michetti, Marco 4 2021 Maximization of the Steklov eigenvalues with a diameter constraint. Zbl 1457.49028 Al Sayed, Abdelkader; Bogosel, Beniamin; Henrot, Antoine; Nacry, Florent 3 2021 Hyperbolic solutions to Bernoulli’s free boundary problem. Zbl 1462.35210 Henrot, Antoine; Onodera, Michiaki 3 2021 Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations. Zbl 1467.49034 Henrot, Antoine; Mazari, Idriss; Privat, Yannick 3 2021 Improved bounds for Hermite-Hadamard inequalities in higher dimensions. Zbl 1462.26022 Beck, Thomas; Brandolini, Barbara; Burdzy, Krzysztof; Henrot, Antoine; Langford, Jeffrey J.; Larson, Simon; Smits, Robert; Steinerberger, Stefan 1 2021 Maximization of the second non-trivial Neumann eigenvalue. Zbl 1423.35271 Bucur, Dorin; Henrot, Antoine 17 2019 Optimizing the first Dirichlet eigenvalue of the Laplacian with an obstacle. Zbl 1445.35263 Henrot, Antoine; Zucco, Davide 6 2019 Nondispersal and density properties of infinite packings. Zbl 1417.49056 Delyon, Alexandre; Henrot, Antoine; Privat, Yannick 3 2019 Shape variation and optimization. A geometrical analysis. Zbl 1392.49001 Henrot, Antoine; Pierre, Michel 128 2018 On two functionals involving the maximum of the torsion function. Zbl 1442.35281 Henrot, Antoine; Lucardesi, Ilaria; Philippin, Gérard 9 2018 Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint. Zbl 1401.35217 Bogosel, B.; Henrot, A.; Lucardesi, I. 7 2018 Optimal concavity of the torsion function. Zbl 1400.35190 Henrot, Antoine; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina 6 2018 Shape optimization and spectral theory. Zbl 1369.49004 46 2017 A new isoperimetric inequality for the elasticae. Zbl 1377.49047 Bucur, Dorin; Henrot, Antoine 10 2017 Elasticae and inradius. Zbl 1358.52003 Henrot, Antoine; Mounjid, Othmane 2 2017 On the quantitative isoperimetric inequality in the plane. Zbl 1456.49034 Bianchini, Chiara; Croce, Gisella; Henrot, Antoine 2 2017 On the minimization of total mean curvature. Zbl 1354.52010 Dalphin, J.; Henrot, A.; Masnou, S.; Takahashi, T. 7 2016 Elastic energy of a convex body. Zbl 1339.52005 Bianchini, Chiara; Henrot, Antoine; Takahashi, Takéo 5 2016 Existence of minimizers for eigenvalues of the Dirichlet-Laplacian with a drift. Zbl 1323.35107 Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina 4 2015 On the local minimizers of the Mahler volume. Zbl 1330.49043 Harrell, E. M.; Henrot, A.; Lamboley, J. 2 2015 Corrigendum to: “An isoperimetric inequality for a nonlinear eigenvalue problem”. Zbl 1332.49041 Croce, Gisella; Henrot, Antoine; Pisante, Giovanni 2 2015 An overdetermined problem with non-constant boundary condition. Zbl 1297.35153 Bianchini, Chiara; Henrot, Antoine; Salani, Paolo 13 2014 An optimal Poincaré-Wirtinger inequality in Gauss space. Zbl 1286.35052 Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina 6 2013 An isoperimetric inequality for a nonlinear eigenvalue problem. Zbl 1243.49048 Croce, Gisella; Henrot, Antoine; Pisante, Giovanni 8 2012 On some spectral problems arising in dynamic populations. Zbl 1266.49007 Henrot, Antoine; Laamri, El-Haj; Schmitt, Didier 3 2012 On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian. Zbl 1228.35156 Antunes, Pedro R. S.; Henrot, Antoine 9 2011 What is the optimal shape of a pipe? Zbl 1304.76022 Henrot, Antoine; Privat, Yannick 18 2010 On the maximization of a class of functionals on convex regions, and the characterization of the farthest convex set. Zbl 1202.52001 Harrell, Evans M. II; Henrot, Antoine 2 2010 Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032 Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 19 2009 Some isoperimetric inequalities with application to the Stekloff problem. Zbl 1155.26019 Henrot, Antoine; Philippin, Gérard A.; Safoui, A. 12 2008 Eliciting harmonics on strings. Zbl 1154.35411 Cox, Steven J.; Henrot, Antoine 4 2008 A cylindrical pipe is not optimal to minimize the energy dissipated by a fluid. (Une conduite cylindrique n’est pas optimale pour minimiser l’énergie dissipée par un fluide.) Zbl 1156.35444 Henrot, Antoine; Privat, Yannick 3 2008 Shape minimization of dendritic attenuation. Zbl 1133.92003 Henrot, Antoine; Privat, Yannick 1 2008 Mini-workshop: Shape analysis for eigenvalues. Abstracts from the mini-workshop held April 8–14, 2007. Zbl 1177.49004 3 2007 Extremum problems for eigenvalues of elliptic operators. Zbl 1109.35081 Henrot, Antoine 378 2006 Convergence results for a semilinear problem and for a Stokes problem in a periodic geometry. Zbl 1122.35141 Baillet, Séverine; Henrot, Antoine; Takahashi, Takéo 2 2006 Variation and optimization of formes. A geometric analysis. (Variation et optimisation de formes. Une analyse géométrique.) Zbl 1098.49001 Henrot, Antoine; Pierre, Michel 341 2005 A spillover phenomenon in the optimal location of actuators. Zbl 1083.49002 Hébrard, Pascal; Henrot, Antoine 23 2005 Mathematical challenges in shape optimization. Zbl 1167.49329 Sokołowski, J.; Henrot, A. 2 2005 On the first twisted Dirichlet eigenvalue. Zbl 1110.58003 Freitas, Pedro; Henrot, Antoine 11 2004 Positivity of the shape Hessian and instability of some equilibrium shapes. Zbl 1072.49028 Henrot, Antoine; Pierre, Michel; Rihani, Mounir 2 2004 The multi-layer free boundary problem for the \(p\)-Laplacian in convex domains. Zbl 1050.35148 Acker, Andrew; Henrot, Antoine; Poghosyan, Michael; Shahgholian, Henrik 2 2004 New directions in shape optimization. (Nouvelles tendances en optimisation de forme.) Zbl 1238.49002 Henrot, Antoine; Sokolowski, Jan 1 2004 Minimization problems for eigenvalues of the Laplacian. Zbl 1049.49029 Henrot, Antoine 32 2003 Optimal shape and position of the actuators for the stabilization of a string. Zbl 1134.93399 Hébrard, Pascal; Henrott, Antoine 22 2003 Minimizing the second eigenvalue of the Laplace operator with Dirichlet boundary conditions. Zbl 1055.35080 Henrot, Antoine; Oudet, Edouard 21 2003 Approximate radial symmetry for solutions of a class of boundary value problems in ring-shaped domains. Zbl 1099.35504 Henrot, A.; Philippin, G. A. 5 2003 A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative. Zbl 1194.35282 Brock, F.; Henrot, Antoine 27 2002 On numerical solution of shape inverse problems. Zbl 1033.65048 Jackowska-Strumillo, L.; Sokolowski, J.; Żochowski, A.; Henrot, A. 11 2002 The one phase free boundary problem for the \(p\)-Laplacian with non-constant Bernoulli boundary condition. Zbl 0988.35174 Henrot, Antoine; Shahgholian, Henrik 9 2002 An optimum design problem in magnetostatics. Zbl 1054.49030 Henrot, Antoine; Villemin, Grégory 3 2002 Asymptotic behaviour of the solutions and optimal location of the actuator for the pointwise stabilization of a string. Zbl 0994.35030 Ammari, Kais; Henrot, Antoine; Tucsnak, Marius 38 2001 On some recent advances in shape optimization. Zbl 0986.49023 Allaire, Grégoire; Henrot, Antoine 14 2001 Optimization of the shape and the location of the actuators in an internal control problem. Zbl 1177.49061 Henrot, Antoine; Maillot, Hervé 10 2001 On the Bernoulli free boundary problem and related shape optimization problems. Zbl 0972.35192 Hayouni, M.; Henrot, A.; Samouh, N. 5 2001 The stadium does not minimize \(\lambda_2\) amongst convex plane domains. (Le stade ne minimise pas \(\lambda_2\) parmi les ouverts convexes du plan.) Zbl 1011.35100 Henrot, Antoine; Oudet, Edouard 5 2001 Continuity of the elasticity system solutions with respect to the geometrical domain variations. Zbl 1001.74008 Bucur, D.; Henrot, A.; Sokolowski, J.; Żochowski, A. 3 2001 Existence of classical solutions to a free boundary problem for the \(p\)-Laplace operator. I: The exterior convex case. Zbl 0955.35078 Henrot, Antoine; Shahgholian, Henrik 26 2000 Existence of classical solutions to a free boundary problem for the \(p\)-Laplace operator. II: The interior convex case. Zbl 0977.35148 Henrot, Antoine; Shahgholian, Henrik 24 2000 Minimization of the third eigenvalue of the Dirichlet Laplacian. Zbl 0974.35082 Bucur, Dorin; Henrot, Antoine 18 2000 Optimal location of the actuator for the pointwise stabilization of a string. Zbl 0949.35083 Ammari, Kais; Tucsnak, Marius; Henrot, Antoine 17 2000 Stability for the Dirichlet problem under continuous Steiner symmetrization. Zbl 0977.31007 Bucur, Dorin; Henrot, Antoine 1 2000 Some results about Schiffer’s conjectures. Zbl 0932.35202 Chatelain, Thierry; Henrot, Antoine 9 1999 Overdetermined problems on ring shaped domains. Zbl 0946.35035 Henrot, A.; Philippin, G. A.; Prébet, H. 9 1999 Domain derivative of the leading eigenvalue of a model transport operator. Zbl 0944.35054 Choulli, Mourad; Henrot, Antoine; Mokhtar-Kharroubi, Mustapha 1 1999 Existence results for some optimal partition problems. Zbl 0915.49006 Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 38 1998 Use of the domain derivative to prove symmetry results in partial differential equations. Zbl 0912.35114 Choulli, Mourad; Henrot, Antoine 19 1998 Some overdetermined boundary value problems with elliptical free boundaries. Zbl 0921.35196 Henrot, Antoine; Philippin, Gérard A. 15 1998 A shape optimization problem for the heat equation. Zbl 0921.35063 Henrot, Antoine; Sokołowski, Jan 5 1998 Convexity of free boundaries with Bernoulli type boundary condition. Zbl 0863.35117 Henrot, Antoine; Shahgholian, Henrik 19 1997 On a class of overdetermined eigenvalue problems. Zbl 0881.35082 Henrot, Antoine; Philippin, Gérard A. 7 1997 Returning to an old approach for a classical free boundary problem. (Retour à une ancienne approche pour un problème à frontière libre classique.) Zbl 0996.35088 Henrot, Antoine; Seck, Diaraf 2 1997 An existence result in shape optimization using a geometric property of the normal vector. (Un résultat d’existence en optimisation de forme en utilisant une propriété géométrique de la normale.) Zbl 0920.49027 Barkatou, Mohammed; Henrot, Antoine 1 1997 How to prove symmetry in shape optimization problems? Zbl 0889.49028 Henrot, Antoine 3 1996 Some new ideas for a Schiffer’s conjecture. Zbl 0881.35083 Chatelain, T.; Choulli, M.; Henrot, A. 3 1996 Continuity with respect to the domain for the Laplacian: A survey. Zbl 0822.35029 Henrot, Antoine 19 1994 Subsolutions and supersolutions in a free boundary problem. Zbl 0809.35172 Henrot, Antoine 13 1994 Numerical approximation of a free boundary problem arising in electromagnetic shaping. Zbl 0804.65129 Coulaud, O.; Henrot, A. 13 1994 Behaviour of the free boundary in electromagnetic shaping when the surface tension vanishes. Zbl 0777.35078 Henrot, Antoine 1 1993 About critical points of the energy in an electromagnetic shaping problem. Zbl 0820.35139 Henrot, Antoine; Pierre, Michel 6 1992 A nonlinear boundary value problem solved by spectral methods. Zbl 0719.35025 Coulaud, Olivier; Henrot, Antoine 3 1992 About existence of equilibria in electromagnetic casting. Zbl 0731.76092 Henrot, Antoine; Pierre, Michel 8 1991 Un problème inverse en formage des métaux liquides. (An inverse problem for liquid metals forming). Zbl 0672.65101 Henrot, Antoine; Pierre, Michel 16 1989 About existence of a free boundary in electromagnetic shaping. Zbl 0696.35194 Henrot, A.; Pierre, M. 3 1989 all cited Publications top 5 cited Publications all top 5 Cited by 1,235 Authors 35 Bucur, Dorin 35 Henrot, Antoine 29 Privat, Yannick 25 Dapogny, Charles 21 Laurain, Antoine 20 Allaire, Grégoire 20 Buttazzo, Giuseppe 20 Fragalà, Ilaria 19 Nitsch, Carlo 18 Velichkov, Bozhidar 17 Dambrine, Marc 17 Trombetti, Cristina 16 Ammari, Kais 15 Kao, Chiu-Yen 15 Laugesen, Richard Snyder 14 Brasco, Lorenzo 14 Harbrecht, Helmut 13 Bogoşel, Beniamin 13 Brandolini, Barbara 13 Zuazua, Enrique 12 Helffer, Bernard 12 Lamboley, Jimmy 12 Sokołowski, Jan 11 Antunes, Pedro Ricardo Simão 11 Chiacchio, Francesco 11 Fernández Bonder, Julián 11 Mazzoleni, Dario 11 Münch, Arnaud 11 Osting, Braxton 11 Periago, Francisco 11 Zhu, Shengfeng 10 Buoso, Davide 10 Caubet, Fabien 10 Cavallina, Lorenzo 10 Freitas, Pedro 10 Mohammadi, Seyyed Abbas 10 Rossi, Julio Daniel 10 Suragan, Durvudkhan 9 Aniţa, Sebastian 9 Brock, Friedemann 9 Emamizadeh, Behrouz 9 Girouard, Alexandre 9 Laurençot, Philippe 9 Nazarov, Sergeĭ Aleksandrovich 9 Roche, Jean Rodolphe 9 Salani, Paolo 9 Seck, Diaraf 9 Sturm, Kevin 9 van den Berg, Michiel 9 Walker, Christoph 8 Colbois, Bruno 8 Gazzola, Filippo 8 Parini, Enea 8 Pierre, Michel 8 Trélat, Emmanuel 7 Canelas, Alfredo 7 Feireisl, Eduard 7 Ferone, Vincenzo 7 Greco, Antonio 7 Lamberti, Pier Domenico 7 Liu, Yichen 7 Lucardesi, Ilaria 7 Mazari-Fouquer, Idriss 7 Novotny, Antonio André 7 Terracini, Susanna 6 Bourgeois, Laurent 6 Chakib, Abdelkrim 6 Daners, Daniel 6 Dardé, Jérémi 6 Eppler, Karsten 6 Feppon, Florian 6 Kassymov, Aidyn Adilovich 6 Kateb, Djalil M. 6 Kennedy, James Bernard 6 Mercaldo, Anna 6 Musolino, Paolo 6 Oudet, Edouard 6 Philippin, Gérard A. 6 Pratelli, Aldo 6 Shahgholian, Henrik 6 Siudeja, Bartłomiej Andrzej 5 Amstutz, Samuel 5 Anoop, Thazhe Veetil 5 Berchio, Elvise 5 Bianchini, Chiara 5 Briani, Luca 5 Capasso, Vincenzo 5 Choulli, Mourad 5 Croce, Gisella 5 De Philippis, Guido 5 Frey, Pascal Jean 5 Guo, Bao-Zhu 5 Hintermüller, Michael 5 Hoffmann-Ostenhof, Thomas 5 Jouve, François 5 Kawohl, Bernd 5 Kozlov, Vladimir A. 5 Krejčiřík, David 5 Kunisch, Karl 5 Le Louër, Frédérique ...and 1,135 more Authors all top 5 Cited in 278 Serials 51 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 42 Journal of Differential Equations 41 Calculus of Variations and Partial Differential Equations 36 Journal of Mathematical Analysis and Applications 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Archive for Rational Mechanics and Analysis 22 SIAM Journal on Control and Optimization 22 SIAM Journal on Mathematical Analysis 21 The Journal of Geometric Analysis 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 18 Applied Mathematics and Optimization 17 Journal of Optimization Theory and Applications 16 Journal of Computational Physics 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 Computer Methods in Applied Mechanics and Engineering 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Proceedings of the American Mathematical Society 13 Mathematical Methods in the Applied Sciences 13 Journal of Functional Analysis 12 Journal of Mathematical Physics 12 Mathematische Annalen 12 Journal of Spectral Theory 11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 Communications in Partial Differential Equations 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Journal of Scientific Computing 10 SIAM Journal on Scientific Computing 10 Communications on Pure and Applied Analysis 9 Applicable Analysis 9 Numerische Mathematik 9 Transactions of the American Mathematical Society 9 Computational Optimization and Applications 9 Communications in Contemporary Mathematics 8 Advances in Mathematics 8 Discrete and Continuous Dynamical Systems 8 Communications in Nonlinear Science and Numerical Simulation 8 Discrete and Continuous Dynamical Systems. Series S 7 Asymptotic Analysis 7 SIAM Journal on Applied Mathematics 7 Potential Analysis 7 NoDEA. Nonlinear Differential Equations and Applications 7 Nonlinear Analysis. Real World Applications 7 Complex Variables and Elliptic Equations 6 Inverse Problems 6 Mathematische Zeitschrift 6 SIAM Journal on Numerical Analysis 6 Systems & Control Letters 6 Applied Numerical Mathematics 6 Applied Mathematics Letters 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Structural and Multidisciplinary Optimization 6 Inverse Problems in Science and Engineering 6 Inverse Problems and Imaging 6 Journal de l’École Polytechnique – Mathématiques 5 Computers & Mathematics with Applications 5 Communications in Mathematical Physics 5 Bulletin of the London Mathematical Society 5 Journal of Computational and Applied Mathematics 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Interfaces and Free Boundaries 5 Evolution Equations and Control Theory 5 Advances in Nonlinear Analysis 5 Mathematics in Engineering 4 Automatica 4 Integral Equations and Operator Theory 4 Mathematische Nachrichten 4 Numerical Functional Analysis and Optimization 4 Results in Mathematics 4 Annals of Global Analysis and Geometry 4 Revista Matemática Iberoamericana 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Geometric and Functional Analysis. GAFA 4 Computational Mathematics and Mathematical Physics 4 Journal of Mathematical Sciences (New York) 4 Journal of Mathematical Fluid Mechanics 4 Journal of the European Mathematical Society (JEMS) 4 Annales Henri Poincaré 4 Journal of Evolution Equations 4 Boundary Value Problems 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Advances in Calculus of Variations 4 Mathematical Control and Related Fields 4 SMAI Journal of Computational Mathematics 3 Applied Mathematics and Computation 3 Archiv der Mathematik 3 Canadian Journal of Mathematics 3 Illinois Journal of Mathematics 3 Indiana University Mathematics Journal 3 Inventiones Mathematicae 3 Mathematika 3 Semigroup Forum 3 Applications of Mathematics 3 Applied Mathematical Modelling 3 Journal of Elasticity 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Advances in Computational Mathematics 3 Optimization Methods & Software 3 Analysis (München) 3 International Journal of Applied Mathematics and Computer Science ...and 178 more Serials all top 5 Cited in 46 Fields 844 Partial differential equations (35-XX) 490 Calculus of variations and optimal control; optimization (49-XX) 167 Numerical analysis (65-XX) 148 Mechanics of deformable solids (74-XX) 98 Operator theory (47-XX) 88 Global analysis, analysis on manifolds (58-XX) 77 Fluid mechanics (76-XX) 77 Systems theory; control (93-XX) 46 Differential geometry (53-XX) 42 Convex and discrete geometry (52-XX) 37 Potential theory (31-XX) 35 Ordinary differential equations (34-XX) 35 Biology and other natural sciences (92-XX) 31 Optics, electromagnetic theory (78-XX) 28 Functional analysis (46-XX) 26 Operations research, mathematical programming (90-XX) 25 Real functions (26-XX) 23 Quantum theory (81-XX) 19 Probability theory and stochastic processes (60-XX) 18 Functions of a complex variable (30-XX) 15 Measure and integration (28-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Integral equations (45-XX) 8 Statistics (62-XX) 8 Computer science (68-XX) 8 Mechanics of particles and systems (70-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Geometry (51-XX) 6 Information and communication theory, circuits (94-XX) 5 Combinatorics (05-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX) Citations by Year