Edit Profile (opens in new tab) Henrot, Antoine Compute Distance To: Compute Author ID: henrot.antoine Published as: Henrot, Antoine; Henrot, A.; Henrott, Antoine more...less Homepage: http://www.iecl.univ-lorraine.fr/~Antoine.Henrot/ External Links: MGP · dblp Documents Indexed: 98 Publications since 1989, including 3 Books 5 Contributions as Editor Reviewing Activity: 24 Reviews Co-Authors: 80 Co-Authors with 94 Joint Publications 1,506 Co-Co-Authors all top 5 Co-Authors 9 single-authored 9 Bucur, Dorin 8 Pierre, Michel 6 Bianchini, Chiara 6 Philippin, Gérard A. 6 Privat, Yannick 6 Shahgholian, Henrik 6 Sokołowski, Jan 4 Croce, Gisella 4 Miranville, Alain M. 3 Brandolini, Barbara 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 Bogoşel, Beniamin 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 Lucardesi, Ilaria 2 Oudet, Edouard 2 Pisante, Giovanni 2 Rihani, Mounir 2 Roche, Jean Rodolphe 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 Cavallina, Lorenzo 1 Cox, Steven J. 1 Deloup, Florian L. 1 Freitas, Pedro 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 Mazari, Idriss 1 Michetti, Marco 1 Mokhtar-Kharroubi, Mustapha 1 Mounjid, Othmane 1 Nacry, Florent 1 Nitsch, Carlo 1 Onodera, Michiaki 1 Peralta-Salas, Daniel 1 Prébet, H. 1 Reichel, Wolfgang 1 Safoui, Abdessalam 1 Sakaguchi, Shigeru 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 3 Control and Cybernetics 3 The Journal of Geometric Analysis 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 de l’École Polytechnique – Mathématiques 1 Frontiers in Mathematics all top 5 Fields 70 Partial differential equations (35-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 12 Mechanics of deformable solids (74-XX) 10 Convex and discrete geometry (52-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 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 Operator theory (47-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-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 85 Publications have been cited 1,433 times in 1,029 Documents Cited by ▼ Year ▼ Extremum problems for eigenvalues of elliptic operators. Zbl 1109.35081Henrot, Antoine 339 2006 Variation and optimization of formes. A geometric analysis. (Variation et optimisation de formes. Une analyse géométrique.) Zbl 1098.49001Henrot, Antoine; Pierre, Michel 306 2005 Shape variation and optimization. A geometrical analysis. Zbl 1392.49001Henrot, Antoine; Pierre, Michel 82 2018 Existence results for some optimal partition problems. Zbl 0915.49006Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 35 1998 Asymptotic behaviour of the solutions and optimal location of the actuator for the pointwise stabilization of a string. Zbl 0994.35030Ammari, Kais; Henrot, Antoine; Tucsnak, Marius 32 2001 Shape optimization and spectral theory. Zbl 1369.49004 32 2017 Minimization problems for eigenvalues of the Laplacian. Zbl 1049.49029Henrot, Antoine 30 2003 A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative. Zbl 1194.35282Brock, F.; Henrot, Antoine 26 2002 Existence of classical solutions to a free boundary problem for the \(p\)-Laplace operator. I: The exterior convex case. Zbl 0955.35078Henrot, Antoine; Shahgholian, Henrik 24 2000 Existence of classical solutions to a free boundary problem for the \(p\)-Laplace operator. II: The interior convex case. Zbl 0977.35148Henrot, Antoine; Shahgholian, Henrik 23 2000 Optimal shape and position of the actuators for the stabilization of a string. Zbl 1134.93399Hébrard, Pascal; Henrott, Antoine 22 2003 A spillover phenomenon in the optimal location of actuators. Zbl 1083.49002Hébrard, Pascal; Henrot, Antoine 20 2005 Minimizing the second eigenvalue of the Laplace operator with Dirichlet boundary conditions. Zbl 1055.35080Henrot, Antoine; Oudet, Edouard 20 2003 Use of the domain derivative to prove symmetry results in partial differential equations. Zbl 0912.35114Choulli, Mourad; Henrot, Antoine 19 1998 Continuity with respect to the domain for the Laplacian: A survey. Zbl 0822.35029Henrot, Antoine 19 1994 Minimization of the third eigenvalue of the Dirichlet Laplacian. Zbl 0974.35082Bucur, Dorin; Henrot, Antoine 18 2000 Convexity of free boundaries with Bernoulli type boundary condition. Zbl 0863.35117Henrot, Antoine; Shahgholian, Henrik 16 1997 Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 16 2009 Some overdetermined boundary value problems with elliptical free boundaries. Zbl 0921.35196Henrot, Antoine; Philippin, Gérard A. 15 1998 What is the optimal shape of a pipe? Zbl 1304.76022Henrot, Antoine; Privat, Yannick 15 2010 Un problème inverse en formage des métaux liquides. (An inverse problem for liquid metals forming). Zbl 0672.65101Henrot, Antoine; Pierre, Michel 15 1989 Optimal location of the actuator for the pointwise stabilization of a string. Zbl 0949.35083Ammari, Kais; Tucsnak, Marius; Henrot, Antoine 14 2000 On some recent advances in shape optimization. Zbl 0986.49023Allaire, Grégoire; Henrot, Antoine 13 2001 Numerical approximation of a free boundary problem arising in electromagnetic shaping. Zbl 0804.65129Coulaud, O.; Henrot, A. 13 1994 Maximization of the second non-trivial Neumann eigenvalue. Zbl 1423.35271Bucur, Dorin; Henrot, Antoine 12 2019 Subsolutions and supersolutions in a free boundary problem. Zbl 0809.35172Henrot, Antoine 12 1994 Some isoperimetric inequalities with application to the Stekloff problem. Zbl 1155.26019Henrot, Antoine; Philippin, Gérard A.; Safoui, A. 12 2008 On the first twisted Dirichlet eigenvalue. Zbl 1110.58003Freitas, Pedro; Henrot, Antoine 10 2004 On numerical solution of shape inverse problems. Zbl 1033.65048Jackowska-Strumillo, L.; Sokolowski, J.; Żochowski, A.; Henrot, A. 10 2002 A new isoperimetric inequality for the elasticae. Zbl 1377.49047Bucur, Dorin; Henrot, Antoine 10 2017 Overdetermined problems on ring shaped domains. Zbl 0946.35035Henrot, A.; Philippin, G. A.; Prébet, H. 9 1999 Some results about Schiffer’s conjectures. Zbl 0932.35202Chatelain, Thierry; Henrot, Antoine 9 1999 An overdetermined problem with non-constant boundary condition. Zbl 1297.35153Bianchini, Chiara; Henrot, Antoine; Salani, Paolo 9 2014 The one phase free boundary problem for the \(p\)-Laplacian with non-constant Bernoulli boundary condition. Zbl 0988.35174Henrot, Antoine; Shahgholian, Henrik 8 2002 Optimization of the shape and the location of the actuators in an internal control problem. Zbl 1177.49061Henrot, Antoine; Maillot, Hervé 8 2001 An isoperimetric inequality for a nonlinear eigenvalue problem. Zbl 1243.49048Croce, Gisella; Henrot, Antoine; Pisante, Giovanni 8 2012 On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian. Zbl 1228.35156Antunes, Pedro R. S.; Henrot, Antoine 8 2011 About existence of equilibria in electromagnetic casting. Zbl 0731.76092Henrot, Antoine; Pierre, Michel 8 1991 On the minimization of total mean curvature. Zbl 1354.52010Dalphin, J.; Henrot, A.; Masnou, S.; Takahashi, T. 7 2016 On a class of overdetermined eigenvalue problems. Zbl 0881.35082Henrot, Antoine; Philippin, Gérard A. 7 1997 On two functionals involving the maximum of the torsion function. Zbl 1442.35281Henrot, Antoine; Philippin, Gérard 7 2018 Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint. Zbl 1401.35217Bogosel, B.; Henrot, A.; Lucardesi, I. 6 2018 An optimal Poincaré-Wirtinger inequality in Gauss space. Zbl 1286.35052Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina 6 2013 About critical points of the energy in an electromagnetic shaping problem. Zbl 0820.35139Henrot, Antoine; Pierre, Michel 5 1992 Elastic energy of a convex body. Zbl 1339.52005Bianchini, Chiara; Henrot, Antoine; Takahashi, Takéo 5 2016 A shape optimization problem for the heat equation. Zbl 0921.35063Henrot, Antoine; Sokołowski, Jan 5 1998 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 1011.35100Henrot, Antoine; Oudet, Edouard 5 2001 Approximate radial symmetry for solutions of a class of boundary value problems in ring-shaped domains. Zbl 1099.35504Henrot, A.; Philippin, G. A. 5 2003 On the Bernoulli free boundary problem and related shape optimization problems. Zbl 0972.35192Hayouni, M.; Henrot, A.; Samouh, N. 4 2001 From Steklov to Neumann via homogenisation. Zbl 1458.35040Girouard, Alexandre; Henrot, Antoine; Lagacé, Jean 4 2021 Eliciting harmonics on strings. Zbl 1154.35411Cox, Steven J.; Henrot, Antoine 3 2008 An optimum design problem in magnetostatics. Zbl 1054.49030Henrot, Antoine; Villemin, Grégory 3 2002 Optimal concavity of the torsion function. Zbl 1400.35190Henrot, Antoine; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina 3 2018 Mini-workshop: Shape analysis for eigenvalues. Abstracts from the mini-workshop held April 8–14, 2007. Zbl 1177.49004 3 2007 Existence of minimizers for eigenvalues of the Dirichlet-Laplacian with a drift. Zbl 1323.35107Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina 3 2015 On some spectral problems arising in dynamic populations. Zbl 1266.49007Henrot, Antoine; Laamri, El-Haj; Schmitt, Didier 3 2012 A nonlinear boundary value problem solved by spectral methods. Zbl 0719.35025Coulaud, Olivier; Henrot, Antoine 3 1992 How to prove symmetry in shape optimization problems? Zbl 0889.49028Henrot, Antoine 3 1996 Some new ideas for a Schiffer’s conjecture. Zbl 0881.35083Chatelain, T.; Choulli, M.; Henrot, A. 3 1996 About existence of a free boundary in electromagnetic shaping. Zbl 0696.35194Henrot, A.; Pierre, M. 3 1989 Optimizing the first Dirichlet eigenvalue of the Laplacian with an obstacle. Zbl 1445.35263Henrot, Antoine; Zucco, Davide 3 2019 Continuity of the elasticity system solutions with respect to the geometrical domain variations. Zbl 1001.74008Bucur, D.; Henrot, A.; Sokolowski, J.; Żochowski, A. 2 2001 Returning to an old approach for a classical free boundary problem. (Retour à une ancienne approche pour un problème à frontière libre classique.) Zbl 0996.35088Henrot, Antoine; Seck, Diaraf 2 1997 The multi-layer free boundary problem for the \(p\)-Laplacian in convex domains. Zbl 1050.35148Acker, Andrew; Henrot, Antoine; Poghosyan, Michael; Shahgholian, Henrik 2 2004 Mathematical challenges in shape optimization. Zbl 1167.49329Sokołowski, J.; Henrot, A. 2 2005 Convergence results for a semilinear problem and for a Stokes problem in a periodic geometry. Zbl 1122.35141Baillet, Séverine; Henrot, Antoine; Takahashi, Takéo 2 2006 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 1156.35444Henrot, Antoine; Privat, Yannick 2 2008 Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations. Zbl 1467.49034Henrot, Antoine; Mazari, Idriss; Privat, Yannick 2 2021 Corrigendum to: “An isoperimetric inequality for a nonlinear eigenvalue problem”. Zbl 1332.49041Croce, Gisella; Henrot, Antoine; Pisante, Giovanni 2 2015 Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244Bucur, Dorin; Henrot, Antoine; Michetti, Marco 2 2021 On the local minimizers of the Mahler volume. Zbl 1330.49043Harrell, E. M.; Henrot, A.; Lamboley, J. 2 2015 On the maximization of a class of functionals on convex regions, and the characterization of the farthest convex set. Zbl 1202.52001Harrell, Evans M. II; Henrot, Antoine 2 2010 Elasticae and inradius. Zbl 1358.52003Henrot, Antoine; Mounjid, Othmane 2 2017 Nondispersal and density properties of infinite packings. Zbl 1417.49056Delyon, Alexandre; Henrot, Antoine; Privat, Yannick 2 2019 Stability for the Dirichlet problem under continuous Steiner symmetrization. Zbl 0977.31007Bucur, Dorin; Henrot, Antoine 1 2000 Domain derivative of the leading eigenvalue of a model transport operator. Zbl 0944.35054Choulli, Mourad; Henrot, Antoine; Mokhtar-Kharroubi, Mustapha 1 1999 Positivity of the shape Hessian and instability of some equilibrium shapes. Zbl 1072.49028Henrot, Antoine; Pierre, Michel; Rihani, Mounir 1 2004 Shape minimization of dendritic attenuation. Zbl 1133.92003Henrot, Antoine; Privat, Yannick 1 2008 Improved bounds for Hermite-Hadamard inequalities in higher dimensions. Zbl 1462.26022Beck, Thomas; Brandolini, Barbara; Burdzy, Krzysztof; Henrot, Antoine; Langford, Jeffrey J.; Larson, Simon; Smits, Robert; Steinerberger, Stefan 1 2021 Behaviour of the free boundary in electromagnetic shaping when the surface tension vanishes. Zbl 0777.35078Henrot, Antoine 1 1993 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 0920.49027Barkatou, Mohammed; Henrot, Antoine 1 1997 New directions in shape optimization. (Nouvelles tendances en optimisation de forme.) Zbl 1238.49002Henrot, Antoine; Sokolowski, Jan 1 2004 Hyperbolic solutions to Bernoulli’s free boundary problem. Zbl 1462.35210Henrot, Antoine; Onodera, Michiaki 1 2021 Maximization of the Steklov eigenvalues with a diameter constraint. Zbl 1457.49028Al Sayed, Abdelkader; Bogosel, Beniamin; Henrot, Antoine; Nacry, Florent 1 2021 On the quantitative isoperimetric inequality in the plane. Zbl 1456.49034Bianchini, Chiara; Croce, Gisella; Henrot, Antoine 1 2017 From Steklov to Neumann via homogenisation. Zbl 1458.35040Girouard, Alexandre; Henrot, Antoine; Lagacé, Jean 4 2021 Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations. Zbl 1467.49034Henrot, Antoine; Mazari, Idriss; Privat, Yannick 2 2021 Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244Bucur, Dorin; Henrot, Antoine; Michetti, Marco 2 2021 Improved bounds for Hermite-Hadamard inequalities in higher dimensions. Zbl 1462.26022Beck, Thomas; Brandolini, Barbara; Burdzy, Krzysztof; Henrot, Antoine; Langford, Jeffrey J.; Larson, Simon; Smits, Robert; Steinerberger, Stefan 1 2021 Hyperbolic solutions to Bernoulli’s free boundary problem. Zbl 1462.35210Henrot, Antoine; Onodera, Michiaki 1 2021 Maximization of the Steklov eigenvalues with a diameter constraint. Zbl 1457.49028Al Sayed, Abdelkader; Bogosel, Beniamin; Henrot, Antoine; Nacry, Florent 1 2021 Maximization of the second non-trivial Neumann eigenvalue. Zbl 1423.35271Bucur, Dorin; Henrot, Antoine 12 2019 Optimizing the first Dirichlet eigenvalue of the Laplacian with an obstacle. Zbl 1445.35263Henrot, Antoine; Zucco, Davide 3 2019 Nondispersal and density properties of infinite packings. Zbl 1417.49056Delyon, Alexandre; Henrot, Antoine; Privat, Yannick 2 2019 Shape variation and optimization. A geometrical analysis. Zbl 1392.49001Henrot, Antoine; Pierre, Michel 82 2018 On two functionals involving the maximum of the torsion function. Zbl 1442.35281Henrot, Antoine; Philippin, Gérard 7 2018 Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint. Zbl 1401.35217Bogosel, B.; Henrot, A.; Lucardesi, I. 6 2018 Optimal concavity of the torsion function. Zbl 1400.35190Henrot, Antoine; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina 3 2018 Shape optimization and spectral theory. Zbl 1369.49004 32 2017 A new isoperimetric inequality for the elasticae. Zbl 1377.49047Bucur, Dorin; Henrot, Antoine 10 2017 Elasticae and inradius. Zbl 1358.52003Henrot, Antoine; Mounjid, Othmane 2 2017 On the quantitative isoperimetric inequality in the plane. Zbl 1456.49034Bianchini, Chiara; Croce, Gisella; Henrot, Antoine 1 2017 On the minimization of total mean curvature. Zbl 1354.52010Dalphin, J.; Henrot, A.; Masnou, S.; Takahashi, T. 7 2016 Elastic energy of a convex body. Zbl 1339.52005Bianchini, Chiara; Henrot, Antoine; Takahashi, Takéo 5 2016 Existence of minimizers for eigenvalues of the Dirichlet-Laplacian with a drift. Zbl 1323.35107Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina 3 2015 Corrigendum to: “An isoperimetric inequality for a nonlinear eigenvalue problem”. Zbl 1332.49041Croce, Gisella; Henrot, Antoine; Pisante, Giovanni 2 2015 On the local minimizers of the Mahler volume. Zbl 1330.49043Harrell, E. M.; Henrot, A.; Lamboley, J. 2 2015 An overdetermined problem with non-constant boundary condition. Zbl 1297.35153Bianchini, Chiara; Henrot, Antoine; Salani, Paolo 9 2014 An optimal Poincaré-Wirtinger inequality in Gauss space. Zbl 1286.35052Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina 6 2013 An isoperimetric inequality for a nonlinear eigenvalue problem. Zbl 1243.49048Croce, Gisella; Henrot, Antoine; Pisante, Giovanni 8 2012 On some spectral problems arising in dynamic populations. Zbl 1266.49007Henrot, Antoine; Laamri, El-Haj; Schmitt, Didier 3 2012 On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian. Zbl 1228.35156Antunes, Pedro R. S.; Henrot, Antoine 8 2011 What is the optimal shape of a pipe? Zbl 1304.76022Henrot, Antoine; Privat, Yannick 15 2010 On the maximization of a class of functionals on convex regions, and the characterization of the farthest convex set. Zbl 1202.52001Harrell, Evans M. II; Henrot, Antoine 2 2010 Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 16 2009 Some isoperimetric inequalities with application to the Stekloff problem. Zbl 1155.26019Henrot, Antoine; Philippin, Gérard A.; Safoui, A. 12 2008 Eliciting harmonics on strings. Zbl 1154.35411Cox, Steven J.; Henrot, Antoine 3 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 1156.35444Henrot, Antoine; Privat, Yannick 2 2008 Shape minimization of dendritic attenuation. Zbl 1133.92003Henrot, 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 1109.35081Henrot, Antoine 339 2006 Convergence results for a semilinear problem and for a Stokes problem in a periodic geometry. Zbl 1122.35141Baillet, Séverine; Henrot, Antoine; Takahashi, Takéo 2 2006 Variation and optimization of formes. A geometric analysis. (Variation et optimisation de formes. Une analyse géométrique.) Zbl 1098.49001Henrot, Antoine; Pierre, Michel 306 2005 A spillover phenomenon in the optimal location of actuators. Zbl 1083.49002Hébrard, Pascal; Henrot, Antoine 20 2005 Mathematical challenges in shape optimization. Zbl 1167.49329Sokołowski, J.; Henrot, A. 2 2005 On the first twisted Dirichlet eigenvalue. Zbl 1110.58003Freitas, Pedro; Henrot, Antoine 10 2004 The multi-layer free boundary problem for the \(p\)-Laplacian in convex domains. Zbl 1050.35148Acker, Andrew; Henrot, Antoine; Poghosyan, Michael; Shahgholian, Henrik 2 2004 Positivity of the shape Hessian and instability of some equilibrium shapes. Zbl 1072.49028Henrot, Antoine; Pierre, Michel; Rihani, Mounir 1 2004 New directions in shape optimization. (Nouvelles tendances en optimisation de forme.) Zbl 1238.49002Henrot, Antoine; Sokolowski, Jan 1 2004 Minimization problems for eigenvalues of the Laplacian. Zbl 1049.49029Henrot, Antoine 30 2003 Optimal shape and position of the actuators for the stabilization of a string. Zbl 1134.93399Hébrard, Pascal; Henrott, Antoine 22 2003 Minimizing the second eigenvalue of the Laplace operator with Dirichlet boundary conditions. Zbl 1055.35080Henrot, Antoine; Oudet, Edouard 20 2003 Approximate radial symmetry for solutions of a class of boundary value problems in ring-shaped domains. Zbl 1099.35504Henrot, A.; Philippin, G. A. 5 2003 A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative. Zbl 1194.35282Brock, F.; Henrot, Antoine 26 2002 On numerical solution of shape inverse problems. Zbl 1033.65048Jackowska-Strumillo, L.; Sokolowski, J.; Żochowski, A.; Henrot, A. 10 2002 The one phase free boundary problem for the \(p\)-Laplacian with non-constant Bernoulli boundary condition. Zbl 0988.35174Henrot, Antoine; Shahgholian, Henrik 8 2002 An optimum design problem in magnetostatics. Zbl 1054.49030Henrot, Antoine; Villemin, Grégory 3 2002 Asymptotic behaviour of the solutions and optimal location of the actuator for the pointwise stabilization of a string. Zbl 0994.35030Ammari, Kais; Henrot, Antoine; Tucsnak, Marius 32 2001 On some recent advances in shape optimization. Zbl 0986.49023Allaire, Grégoire; Henrot, Antoine 13 2001 Optimization of the shape and the location of the actuators in an internal control problem. Zbl 1177.49061Henrot, Antoine; Maillot, Hervé 8 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 1011.35100Henrot, Antoine; Oudet, Edouard 5 2001 On the Bernoulli free boundary problem and related shape optimization problems. Zbl 0972.35192Hayouni, M.; Henrot, A.; Samouh, N. 4 2001 Continuity of the elasticity system solutions with respect to the geometrical domain variations. Zbl 1001.74008Bucur, D.; Henrot, A.; Sokolowski, J.; Żochowski, A. 2 2001 Existence of classical solutions to a free boundary problem for the \(p\)-Laplace operator. I: The exterior convex case. Zbl 0955.35078Henrot, Antoine; Shahgholian, Henrik 24 2000 Existence of classical solutions to a free boundary problem for the \(p\)-Laplace operator. II: The interior convex case. Zbl 0977.35148Henrot, Antoine; Shahgholian, Henrik 23 2000 Minimization of the third eigenvalue of the Dirichlet Laplacian. Zbl 0974.35082Bucur, Dorin; Henrot, Antoine 18 2000 Optimal location of the actuator for the pointwise stabilization of a string. Zbl 0949.35083Ammari, Kais; Tucsnak, Marius; Henrot, Antoine 14 2000 Stability for the Dirichlet problem under continuous Steiner symmetrization. Zbl 0977.31007Bucur, Dorin; Henrot, Antoine 1 2000 Overdetermined problems on ring shaped domains. Zbl 0946.35035Henrot, A.; Philippin, G. A.; Prébet, H. 9 1999 Some results about Schiffer’s conjectures. Zbl 0932.35202Chatelain, Thierry; Henrot, Antoine 9 1999 Domain derivative of the leading eigenvalue of a model transport operator. Zbl 0944.35054Choulli, Mourad; Henrot, Antoine; Mokhtar-Kharroubi, Mustapha 1 1999 Existence results for some optimal partition problems. Zbl 0915.49006Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 35 1998 Use of the domain derivative to prove symmetry results in partial differential equations. Zbl 0912.35114Choulli, Mourad; Henrot, Antoine 19 1998 Some overdetermined boundary value problems with elliptical free boundaries. Zbl 0921.35196Henrot, Antoine; Philippin, Gérard A. 15 1998 A shape optimization problem for the heat equation. Zbl 0921.35063Henrot, Antoine; Sokołowski, Jan 5 1998 Convexity of free boundaries with Bernoulli type boundary condition. Zbl 0863.35117Henrot, Antoine; Shahgholian, Henrik 16 1997 On a class of overdetermined eigenvalue problems. Zbl 0881.35082Henrot, 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 0996.35088Henrot, 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 0920.49027Barkatou, Mohammed; Henrot, Antoine 1 1997 How to prove symmetry in shape optimization problems? Zbl 0889.49028Henrot, Antoine 3 1996 Some new ideas for a Schiffer’s conjecture. Zbl 0881.35083Chatelain, T.; Choulli, M.; Henrot, A. 3 1996 Continuity with respect to the domain for the Laplacian: A survey. Zbl 0822.35029Henrot, Antoine 19 1994 Numerical approximation of a free boundary problem arising in electromagnetic shaping. Zbl 0804.65129Coulaud, O.; Henrot, A. 13 1994 Subsolutions and supersolutions in a free boundary problem. Zbl 0809.35172Henrot, Antoine 12 1994 Behaviour of the free boundary in electromagnetic shaping when the surface tension vanishes. Zbl 0777.35078Henrot, Antoine 1 1993 About critical points of the energy in an electromagnetic shaping problem. Zbl 0820.35139Henrot, Antoine; Pierre, Michel 5 1992 A nonlinear boundary value problem solved by spectral methods. Zbl 0719.35025Coulaud, Olivier; Henrot, Antoine 3 1992 About existence of equilibria in electromagnetic casting. Zbl 0731.76092Henrot, Antoine; Pierre, Michel 8 1991 Un problème inverse en formage des métaux liquides. (An inverse problem for liquid metals forming). Zbl 0672.65101Henrot, Antoine; Pierre, Michel 15 1989 About existence of a free boundary in electromagnetic shaping. Zbl 0696.35194Henrot, A.; Pierre, M. 3 1989 all cited Publications top 5 cited Publications all top 5 Cited by 1,088 Authors 33 Henrot, Antoine 30 Bucur, Dorin 27 Privat, Yannick 23 Dapogny, Charles 20 Fragalà, Ilaria 19 Allaire, Grégoire 19 Buttazzo, Giuseppe 18 Nitsch, Carlo 17 Velichkov, Bozhidar 16 Laurain, Antoine 16 Trombetti, Cristina 14 Ammari, Kais 14 Brasco, Lorenzo 14 Dambrine, Marc 14 Kao, Chiu-Yen 14 Laugesen, Richard Snyder 12 Harbrecht, Helmut 12 Sokołowski, Jan 12 Zuazua, Enrique 11 Fernández Bonder, Julián 11 Helffer, Bernard 11 Lamboley, Jimmy 11 Münch, Arnaud 11 Periago, Francisco 10 Antunes, Pedro Ricardo Simão 10 Bogoşel, Beniamin 10 Brandolini, Barbara 10 Chiacchio, Francesco 10 Osting, Braxton 10 Rossi, Julio Daniel 10 Suragan, Durvudkhan 10 Zhu, Shengfeng 9 Brock, Friedemann 9 Caubet, Fabien 9 Freitas, Pedro 9 Laurençot, Philippe 9 Mazzoleni, Dario 9 Salani, Paolo 9 van den Berg, Michiel 9 Walker, Christoph 8 Buoso, Davide 8 Gazzola, Filippo 8 Girouard, Alexandre 8 Mohammadi, Seyyed Abbas 8 Nazarov, Sergeĭ Aleksandrovich 8 Pierre, Michel 8 Roche, Jean Rodolphe 7 Aniţa, Sebastian 7 Cavallina, Lorenzo 7 Colbois, Bruno 7 Emamizadeh, Behrouz 7 Greco, Antonio 7 Novotny, Antonio André 7 Parini, Enea 7 Seck, Diaraf 7 Sturm, Kevin 7 Trélat, Emmanuel 6 Bourgeois, Laurent 6 Canelas, Alfredo 6 Daners, Daniel 6 Dardé, Jérémi 6 Eppler, Karsten 6 Feireisl, Eduard 6 Ferone, Vincenzo 6 Kennedy, James Bernard 6 Lamberti, Pier Domenico 6 Lucardesi, Ilaria 6 Mazari, Idriss 6 Oudet, Edouard 6 Philippin, Gérard A. 6 Pratelli, Aldo 6 Shahgholian, Henrik 6 Siudeja, Bartłomiej Andrzej 6 Terracini, Susanna 5 Amstutz, Samuel 5 Anoop, Thazhe Veetil 5 Berchio, Elvise 5 Croce, Gisella 5 De Philippis, Guido 5 Frey, Pascal Jean 5 Guo, Bao-Zhu 5 Hintermüller, Michael 5 Jouve, François 5 Kassymov, Aidyn Adilovich 5 Kawohl, Bernd 5 Kunisch, Karl 5 Le Louër, Frédérique 5 Léna, Corentin 5 Liu, Yichen 5 Ly, Idrissa 5 Mahadevan, Rajesh 5 Mercaldo, Anna 5 Tavares, Hugo 4 Barkatou, Mohammed 4 Bianchini, Chiara 4 Bobkov, Vladimir E. 4 Capasso, Vincenzo 4 Choulli, Mourad 4 Ciraolo, Giulio 4 Crasta, Graziano ...and 988 more Authors all top 5 Cited in 261 Serials 47 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 38 Journal of Differential Equations 35 Calculus of Variations and Partial Differential Equations 32 Journal of Mathematical Analysis and Applications 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Archive for Rational Mechanics and Analysis 21 SIAM Journal on Control and Optimization 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 18 SIAM Journal on Mathematical Analysis 17 Journal of Optimization Theory and Applications 17 The Journal of Geometric Analysis 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 Journal of Computational Physics 14 Applied Mathematics and Optimization 13 Proceedings of the American Mathematical Society 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Computer Methods in Applied Mechanics and Engineering 12 Annali di Matematica Pura ed Applicata. Serie Quarta 12 Journal of Functional Analysis 11 Journal of Mathematical Physics 11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 Communications in Partial Differential Equations 11 Journal of Spectral Theory 10 Mathematical Methods in the Applied Sciences 10 ZAMP. 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Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Geometric and Functional Analysis. GAFA 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Mathematical Sciences (New York) 4 Journal of Mathematical Fluid Mechanics 4 Interfaces and Free Boundaries 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 SMAI Journal of Computational Mathematics 3 Applied Mathematics and Computation 3 Archiv der Mathematik 3 Canadian Journal of Mathematics 3 Indiana University Mathematics Journal 3 Mathematika 3 Semigroup Forum 3 Revista Matemática Iberoamericana 3 Applications of Mathematics 3 Computational Mathematics and Mathematical Physics 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 Analysis (München) 3 Communications in Nonlinear Science and Numerical Simulation 3 International Journal of Applied Mathematics and Computer Science 3 Mathematical Modelling of Natural Phenomena 3 Advances in Calculus of Variations 2 Inverse Problems 2 Israel Journal of Mathematics 2 Journal of Engineering Mathematics 2 Journal of Mathematical Biology 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Nonlinearity 2 Ukrainian Mathematical Journal ...and 161 more Serials all top 5 Cited in 46 Fields 735 Partial differential equations (35-XX) 430 Calculus of variations and optimal control; optimization (49-XX) 145 Numerical analysis (65-XX) 125 Mechanics of deformable solids (74-XX) 87 Operator theory (47-XX) 79 Global analysis, analysis on manifolds (58-XX) 70 Systems theory; control (93-XX) 65 Fluid mechanics (76-XX) 44 Differential geometry (53-XX) 37 Convex and discrete geometry (52-XX) 35 Potential theory (31-XX) 30 Biology and other natural sciences (92-XX) 29 Ordinary differential equations (34-XX) 27 Optics, electromagnetic theory (78-XX) 25 Functional analysis (46-XX) 23 Real functions (26-XX) 22 Operations research, mathematical programming (90-XX) 21 Quantum theory (81-XX) 17 Functions of a complex variable (30-XX) 14 Probability theory and stochastic processes (60-XX) 13 Measure and integration (28-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Mechanics of particles and systems (70-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Integral equations (45-XX) 7 Geometry (51-XX) 7 Computer science (68-XX) 5 Combinatorics (05-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Statistics (62-XX) 5 Information and communication theory, circuits (94-XX) 4 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-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