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Author ID: henrot.antoine Recent zbMATH articles by "Henrot, Antoine"
Published as: Henrot, Antoine; Henrot, A.; Henrott, Antoine
Homepage: http://www.iecl.univ-lorraine.fr/~Antoine.Henrot/
External Links: MGP · dblp
Documents Indexed: 97 Publications since 1989, including 3 Books
5 Contributions as Editor
Reviewing Activity: 21 Reviews
Co-Authors: 80 Co-Authors with 93 Joint Publications
1,463 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 Shahgholian, Henrik
6 Sokołowski, Jan
5 Privat, Yannick
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 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 Delyon, Alexandre
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 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

Publications by Year

Citations contained in zbMATH Open

85 Publications have been cited 1,337 times in 960 Documents Cited by Year
Extremum problems for eigenvalues of elliptic operators. Zbl 1109.35081
Henrot, Antoine
318
2006
Variation and optimization of formes. A geometric analysis. (Variation et optimisation de formes. Une analyse géométrique.) Zbl 1098.49001
Henrot, Antoine; Pierre, Michel
295
2005
Shape variation and optimization. A geometrical analysis. Zbl 1392.49001
Henrot, Antoine; Pierre, Michel
64
2018
Existence results for some optimal partition problems. Zbl 0915.49006
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
34
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
30
2001
Minimization problems for eigenvalues of the Laplacian. Zbl 1049.49029
Henrot, Antoine
28
2003
Shape optimization and spectral theory. Zbl 1369.49004
26
2017
A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative. Zbl 1194.35282
Brock, F.; Henrot, Antoine
25
2002
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
23
2000
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
23
2000
Optimal shape and position of the actuators for the stabilization of a string. Zbl 1134.93399
Hébrard, Pascal; Henrott, Antoine
22
2003
A spillover phenomenon in the optimal location of actuators. Zbl 1083.49002
Hébrard, Pascal; Henrot, Antoine
19
2005
Minimizing the second eigenvalue of the Laplace operator with Dirichlet boundary conditions. Zbl 1055.35080
Henrot, Antoine; Oudet, Edouard
19
2003
Use of the domain derivative to prove symmetry results in partial differential equations. Zbl 0912.35114
Choulli, Mourad; Henrot, Antoine
19
1998
Minimization of the third eigenvalue of the Dirichlet Laplacian. Zbl 0974.35082
Bucur, Dorin; Henrot, Antoine
18
2000
Continuity with respect to the domain for the Laplacian: A survey. Zbl 0822.35029
Henrot, Antoine
18
1994
Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
16
2009
Convexity of free boundaries with Bernoulli type boundary condition. Zbl 0863.35117
Henrot, Antoine; Shahgholian, Henrik
16
1997
Some overdetermined boundary value problems with elliptical free boundaries. Zbl 0921.35196
Henrot, Antoine; Philippin, Gérard A.
15
1998
Un problème inverse en formage des métaux liquides. (An inverse problem for liquid metals forming). Zbl 0672.65101
Henrot, Antoine; Pierre, Michel
15
1989
Numerical approximation of a free boundary problem arising in electromagnetic shaping. Zbl 0804.65129
Coulaud, O.; Henrot, A.
13
1994
What is the optimal shape of a pipe? Zbl 1304.76022
Henrot, Antoine; Privat, Yannick
13
2010
Optimal location of the actuator for the pointwise stabilization of a string. Zbl 0949.35083
Ammari, Kais; Tucsnak, Marius; Henrot, Antoine
13
2000
Subsolutions and supersolutions in a free boundary problem. Zbl 0809.35172
Henrot, Antoine
12
1994
On some recent advances in shape optimization. Zbl 0986.49023
Allaire, Grégoire; Henrot, Antoine
11
2001
Some isoperimetric inequalities with application to the Stekloff problem. Zbl 1155.26019
Henrot, Antoine; Philippin, Gérard A.; Safoui, A.
11
2008
On numerical solution of shape inverse problems. Zbl 1033.65048
Jackowska-Strumillo, L.; Sokolowski, J.; Żochowski, A.; Henrot, A.
10
2002
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 first twisted Dirichlet eigenvalue. Zbl 1110.58003
Freitas, Pedro; Henrot, Antoine
9
2004
Overdetermined problems on ring shaped domains. Zbl 0946.35035
Henrot, A.; Philippin, G. A.; Prébet, H.
9
1999
Optimization of the shape and the location of the actuators in an internal control problem. Zbl 1177.49061
Henrot, Antoine; Maillot, Hervé
8
2001
About existence of equilibria in electromagnetic casting. Zbl 0731.76092
Henrot, Antoine; Pierre, Michel
8
1991
The one phase free boundary problem for the \(p\)-Laplacian with non-constant Bernoulli boundary condition. Zbl 0988.35174
Henrot, Antoine; Shahgholian, Henrik
8
2002
An overdetermined problem with non-constant boundary condition. Zbl 1297.35153
Bianchini, Chiara; Henrot, Antoine; Salani, Paolo
8
2014
On a class of overdetermined eigenvalue problems. Zbl 0881.35082
Henrot, Antoine; Philippin, Gérard A.
7
1997
On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian. Zbl 1228.35156
Antunes, Pedro R. S.; Henrot, Antoine
7
2011
On two functionals involving the maximum of the torsion function. Zbl 1442.35281
Henrot, Antoine; Philippin, Gérard
6
2018
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
6
2012
Maximization of the second non-trivial Neumann eigenvalue. Zbl 1423.35271
Bucur, Dorin; Henrot, Antoine
6
2019
Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint. Zbl 1401.35217
Bogosel, B.; Henrot, A.; Lucardesi, I.
5
2018
About critical points of the energy in an electromagnetic shaping problem. Zbl 0820.35139
Henrot, Antoine; Pierre, Michel
5
1992
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 shape optimization problem for the heat equation. Zbl 0921.35063
Henrot, Antoine; Sokołowski, Jan
5
1998
On the minimization of total mean curvature. Zbl 1354.52010
Dalphin, J.; Henrot, A.; Masnou, S.; Takahashi, T.
5
2016
Elastic energy of a convex body. Zbl 1339.52005
Bianchini, Chiara; Henrot, Antoine; Takahashi, Takéo
5
2016
On the Bernoulli free boundary problem and related shape optimization problems. Zbl 0972.35192
Hayouni, M.; Henrot, A.; Samouh, N.
4
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
4
2001
Optimal concavity of the torsion function. Zbl 1400.35190
Henrot, Antoine; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina
3
2018
An optimum design problem in magnetostatics. Zbl 1054.49030
Henrot, Antoine; Villemin, Grégory
3
2002
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
Mini-workshop: Shape analysis for eigenvalues. Abstracts from the mini-workshop held April 8–14, 2007. Zbl 1177.49004
3
2007
A nonlinear boundary value problem solved by spectral methods. Zbl 0719.35025
Coulaud, Olivier; Henrot, Antoine
3
1992
Eliciting harmonics on strings. Zbl 1154.35411
Cox, Steven J.; Henrot, Antoine
3
2008
On some spectral problems arising in dynamic populations. Zbl 1266.49007
Henrot, Antoine; Laamri, El-Haj; Schmitt, Didier
3
2012
From Steklov to Neumann via homogenisation. Zbl 1458.35040
Girouard, Alexandre; Henrot, Antoine; Lagacé, Jean
3
2021
Mathematical challenges in shape optimization. Zbl 1167.49329
Sokołowski, J.; Henrot, A.
2
2005
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
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
About existence of a free boundary in electromagnetic shaping. Zbl 0696.35194
Henrot, A.; Pierre, M.
2
1989
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
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
2
2008
Elasticae and inradius. Zbl 1358.52003
Henrot, Antoine; Mounjid, Othmane
2
2017
Existence of minimizers for eigenvalues of the Dirichlet-Laplacian with a drift. Zbl 1323.35107
Brandolini, Barbara; Chiacchio, Francesco; Henrot, Antoine; Trombetti, Cristina
2
2015
Corrigendum to: “An isoperimetric inequality for a nonlinear eigenvalue problem”. Zbl 1332.49041
Croce, Gisella; Henrot, Antoine; Pisante, Giovanni
2
2015
On the local minimizers of the Mahler volume. Zbl 1330.49043
Harrell, E. M.; Henrot, A.; Lamboley, J.
2
2015
Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244
Bucur, Dorin; Henrot, Antoine; Michetti, Marco
2
2021
Domain derivative of the leading eigenvalue of a model transport operator. Zbl 0944.35054
Choulli, Mourad; Henrot, Antoine; Mokhtar-Kharroubi, Mustapha
1
1999
Behaviour of the free boundary in electromagnetic shaping when the surface tension vanishes. Zbl 0777.35078
Henrot, Antoine
1
1993
Stability for the Dirichlet problem under continuous Steiner symmetrization. Zbl 0977.31007
Bucur, Dorin; Henrot, Antoine
1
2000
Nondispersal and density properties of infinite packings. Zbl 1417.49056
Delyon, Alexandre; Henrot, Antoine; Privat, Yannick
1
2019
Continuity of the elasticity system solutions with respect to the geometrical domain variations. Zbl 1001.74008
Bucur, D.; Henrot, A.; Sokolowski, J.; Żochowski, A.
1
2001
Positivity of the shape Hessian and instability of some equilibrium shapes. Zbl 1072.49028
Henrot, Antoine; Pierre, Michel; Rihani, Mounir
1
2004
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
Optimizing the first Dirichlet eigenvalue of the Laplacian with an obstacle. Zbl 1445.35263
Henrot, Antoine; Zucco, Davide
1
2019
On the quantitative isoperimetric inequality in the plane. Zbl 1456.49034
Bianchini, Chiara; Croce, Gisella; Henrot, Antoine
1
2017
New directions in shape optimization. (Nouvelles tendances en optimisation de forme.) Zbl 1238.49002
Henrot, Antoine; Sokolowski, Jan
1
2004
Shape minimization of dendritic attenuation. Zbl 1133.92003
Henrot, Antoine; Privat, Yannick
1
2008
Maximization of the Steklov eigenvalues with a diameter constraint. Zbl 1457.49028
Al Sayed, Abdelkader; Bogosel, Beniamin; Henrot, Antoine; Nacry, Florent
1
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
Hyperbolic solutions to Bernoulli’s free boundary problem. Zbl 1462.35210
Henrot, Antoine; Onodera, Michiaki
1
2021
Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations. Zbl 1467.49034
Henrot, Antoine; Mazari, Idriss; Privat, Yannick
1
2021
From Steklov to Neumann via homogenisation. Zbl 1458.35040
Girouard, Alexandre; Henrot, Antoine; Lagacé, Jean
3
2021
Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244
Bucur, Dorin; Henrot, Antoine; Michetti, Marco
2
2021
Maximization of the Steklov eigenvalues with a diameter constraint. Zbl 1457.49028
Al Sayed, Abdelkader; Bogosel, Beniamin; Henrot, Antoine; Nacry, Florent
1
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
Hyperbolic solutions to Bernoulli’s free boundary problem. Zbl 1462.35210
Henrot, Antoine; Onodera, Michiaki
1
2021
Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations. Zbl 1467.49034
Henrot, Antoine; Mazari, Idriss; Privat, Yannick
1
2021
Maximization of the second non-trivial Neumann eigenvalue. Zbl 1423.35271
Bucur, Dorin; Henrot, Antoine
6
2019
Nondispersal and density properties of infinite packings. Zbl 1417.49056
Delyon, Alexandre; Henrot, Antoine; Privat, Yannick
1
2019
Optimizing the first Dirichlet eigenvalue of the Laplacian with an obstacle. Zbl 1445.35263
Henrot, Antoine; Zucco, Davide
1
2019
Shape variation and optimization. A geometrical analysis. Zbl 1392.49001
Henrot, Antoine; Pierre, Michel
64
2018
On two functionals involving the maximum of the torsion function. Zbl 1442.35281
Henrot, Antoine; Philippin, Gérard
6
2018
Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint. Zbl 1401.35217
Bogosel, B.; Henrot, A.; Lucardesi, I.
5
2018
Optimal concavity of the torsion function. Zbl 1400.35190
Henrot, Antoine; Nitsch, Carlo; Salani, Paolo; Trombetti, Cristina
3
2018
Shape optimization and spectral theory. Zbl 1369.49004
26
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
1
2017
On the minimization of total mean curvature. Zbl 1354.52010
Dalphin, J.; Henrot, A.; Masnou, S.; Takahashi, T.
5
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
2
2015
Corrigendum to: “An isoperimetric inequality for a nonlinear eigenvalue problem”. Zbl 1332.49041
Croce, Gisella; Henrot, Antoine; Pisante, Giovanni
2
2015
On the local minimizers of the Mahler volume. Zbl 1330.49043
Harrell, E. M.; Henrot, A.; Lamboley, J.
2
2015
An overdetermined problem with non-constant boundary condition. Zbl 1297.35153
Bianchini, Chiara; Henrot, Antoine; Salani, Paolo
8
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
6
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
7
2011
What is the optimal shape of a pipe? Zbl 1304.76022
Henrot, Antoine; Privat, Yannick
13
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
16
2009
Some isoperimetric inequalities with application to the Stekloff problem. Zbl 1155.26019
Henrot, Antoine; Philippin, Gérard A.; Safoui, A.
11
2008
Eliciting harmonics on strings. Zbl 1154.35411
Cox, 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 1156.35444
Henrot, Antoine; Privat, Yannick
2
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
318
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
295
2005
A spillover phenomenon in the optimal location of actuators. Zbl 1083.49002
Hébrard, Pascal; Henrot, Antoine
19
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
9
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
Positivity of the shape Hessian and instability of some equilibrium shapes. Zbl 1072.49028
Henrot, Antoine; Pierre, Michel; Rihani, Mounir
1
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
28
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
19
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
25
2002
On numerical solution of shape inverse problems. Zbl 1033.65048
Jackowska-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 0988.35174
Henrot, Antoine; Shahgholian, Henrik
8
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
30
2001
On some recent advances in shape optimization. Zbl 0986.49023
Allaire, Grégoire; Henrot, Antoine
11
2001
Optimization of the shape and the location of the actuators in an internal control problem. Zbl 1177.49061
Henrot, Antoine; Maillot, Hervé
8
2001
On the Bernoulli free boundary problem and related shape optimization problems. Zbl 0972.35192
Hayouni, M.; Henrot, A.; Samouh, N.
4
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
4
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.
1
2001
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
23
2000
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
23
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
13
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
34
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
16
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
18
1994
Numerical approximation of a free boundary problem arising in electromagnetic shaping. Zbl 0804.65129
Coulaud, O.; Henrot, A.
13
1994
Subsolutions and supersolutions in a free boundary problem. Zbl 0809.35172
Henrot, Antoine
12
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
5
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
15
1989
About existence of a free boundary in electromagnetic shaping. Zbl 0696.35194
Henrot, A.; Pierre, M.
2
1989
all top 5

Cited by 998 Authors

32 Henrot, Antoine
27 Bucur, Dorin
24 Privat, Yannick
21 Dapogny, Charles
19 Buttazzo, Giuseppe
19 Fragalà, Ilaria
18 Allaire, Grégoire
18 Nitsch, Carlo
16 Laurain, Antoine
16 Trombetti, Cristina
16 Velichkov, Bozhidar
14 Ammari, Kais
14 Dambrine, Marc
14 Kao, Chiu-Yen
13 Laugesen, Richard Snyder
12 Brasco, Lorenzo
12 Harbrecht, Helmut
11 Fernández Bonder, Julián
11 Helffer, Bernard
11 Lamboley, Jimmy
11 Münch, Arnaud
11 Periago, Francisco
11 Sokołowski, Jan
10 Antunes, Pedro Ricardo Simão
10 Brandolini, Barbara
10 Chiacchio, Francesco
10 Osting, Braxton
10 Rossi, Julio Daniel
10 Suragan, Durvudkhan
10 Zuazua, Enrique
9 Bogoşel, Beniamin
9 Brock, Friedemann
9 Caubet, Fabien
9 Salani, Paolo
8 Buoso, Davide
8 Freitas, Pedro
8 Gazzola, Filippo
8 Girouard, Alexandre
8 Laurençot, Philippe
8 Mazzoleni, Dario
8 Mohammadi, Seyyed Abbas
8 Nazarov, Sergeĭ Aleksandrovich
8 Pierre, Michel
8 Roche, Jean Rodolphe
8 van den Berg, Michiel
8 Walker, Christoph
7 Aniţa, Sebastian
7 Emamizadeh, Behrouz
7 Greco, Antonio
7 Novotny, Antonio André
7 Parini, Enea
7 Sturm, Kevin
7 Trélat, Emmanuel
6 Bourgeois, Laurent
6 Canelas, Alfredo
6 Cavallina, Lorenzo
6 Colbois, Bruno
6 Daners, Daniel
6 Dardé, Jérémi
6 Eppler, Karsten
6 Feireisl, Eduard
6 Ferone, Vincenzo
6 Lamberti, Pier Domenico
6 Lucardesi, Ilaria
6 Philippin, Gérard A.
6 Pratelli, Aldo
6 Seck, Diaraf
6 Shahgholian, Henrik
6 Siudeja, Bartłomiej Andrzej
6 Terracini, Susanna
6 Zhu, Shengfeng
5 Amstutz, Samuel
5 Anoop, Thazhe Veetil
5 Berchio, Elvise
5 Croce, Gisella
5 De Philippis, Guido
5 Guo, Bao-Zhu
5 Hintermüller, Michael
5 Jouve, François
5 Kassymov, Aidyn Adilovich
5 Kawohl, Bernd
5 Kennedy, James Bernard
5 Kunisch, Karl
5 Le Louër, Frédérique
5 Léna, Corentin
5 Liu, Yichen
5 Ly, Idrissa
5 Mahadevan, Rajesh
5 Mercaldo, Anna
5 Oudet, Edouard
4 Barkatou, Mohammed
4 Bianchini, Chiara
4 Bobkov, Vladimir E.
4 Capasso, Vincenzo
4 Choulli, Mourad
4 Ciraolo, Giulio
4 Crasta, Graziano
4 Cuccu, Fabrizio
4 Della Pietra, Francesco
4 El Soufi, Ahmad
...and 898 more Authors
all top 5

Cited in 249 Serials

47 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
38 Journal of Differential Equations
34 Calculus of Variations and Partial Differential Equations
31 Journal of Mathematical Analysis and Applications
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Archive for Rational Mechanics and Analysis
19 SIAM Journal on Control and Optimization
18 Journal de Mathématiques Pures et Appliquées. Neuvième Série
17 Journal of Optimization Theory and Applications
17 SIAM Journal on Mathematical Analysis
15 The Journal of Geometric Analysis
14 Journal of Computational Physics
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Proceedings of the American Mathematical Society
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Applied Mathematics and Optimization
12 Journal of Functional Analysis
11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Communications in Partial Differential Equations
10 Computer Methods in Applied Mechanics and Engineering
10 Mathematical Methods in the Applied Sciences
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Journal of Scientific Computing
10 Journal of Spectral Theory
9 Applicable Analysis
9 Journal of Mathematical Physics
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Numerische Mathematik
9 Computational Optimization and Applications
9 Communications on Pure and Applied Analysis
8 Mathematische Annalen
8 Communications in Contemporary Mathematics
7 Transactions of the American Mathematical Society
6 Advances in Mathematics
6 Mathematische Zeitschrift
6 Applied Numerical Mathematics
6 SIAM Journal on Applied Mathematics
6 NoDEA. Nonlinear Differential Equations and Applications
6 Discrete and Continuous Dynamical Systems
6 Structural and Multidisciplinary Optimization
6 Inverse Problems in Science and Engineering
6 Complex Variables and Elliptic Equations
6 Inverse Problems and Imaging
5 SIAM Journal on Numerical Analysis
5 Systems & Control Letters
5 Applied Mathematics Letters
5 Potential Analysis
5 SIAM Journal on Scientific Computing
5 Nonlinear Analysis. Real World Applications
5 Discrete and Continuous Dynamical Systems. Series S
4 Computers & Mathematics with Applications
4 Communications in Mathematical Physics
4 Automatica
4 Integral Equations and Operator Theory
4 Journal of Computational and Applied Mathematics
4 Numerical Functional Analysis and Optimization
4 Results in Mathematics
4 Annals of Global Analysis and Geometry
4 Geometric and Functional Analysis. GAFA
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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Advances in Nonlinear Analysis
4 Journal de l’École Polytechnique – Mathématiques
4 SMAI Journal of Computational Mathematics
3 Applied Mathematics and Computation
3 Archiv der Mathematik
3 Canadian Journal of Mathematics
3 Mathematika
3 Semigroup Forum
3 Revista Matemática Iberoamericana
3 Asymptotic Analysis
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Applications of Mathematics
3 Computational Mathematics and Mathematical Physics
3 Journal of Elasticity
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
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 Boundary Value Problems
3 Mathematical Modelling of Natural Phenomena
3 Evolution Equations and Control Theory
2 Inverse Problems
2 Israel Journal of Mathematics
2 Journal of Engineering Mathematics
2 Letters in Mathematical Physics
2 Mathematical Notes
2 Nonlinearity
2 Ukrainian Mathematical Journal
2 Bulletin of the London Mathematical Society
2 Duke Mathematical Journal
2 Illinois Journal of Mathematics
2 Indiana University Mathematics Journal
2 Inventiones Mathematicae
...and 149 more Serials
all top 5

Cited in 44 Fields

691 Partial differential equations (35-XX)
406 Calculus of variations and optimal control; optimization (49-XX)
129 Numerical analysis (65-XX)
117 Mechanics of deformable solids (74-XX)
82 Operator theory (47-XX)
74 Global analysis, analysis on manifolds (58-XX)
66 Systems theory; control (93-XX)
58 Fluid mechanics (76-XX)
38 Differential geometry (53-XX)
33 Potential theory (31-XX)
33 Convex and discrete geometry (52-XX)
27 Ordinary differential equations (34-XX)
26 Optics, electromagnetic theory (78-XX)
26 Biology and other natural sciences (92-XX)
24 Functional analysis (46-XX)
22 Real functions (26-XX)
21 Operations research, mathematical programming (90-XX)
16 Functions of a complex variable (30-XX)
16 Quantum theory (81-XX)
13 Probability theory and stochastic processes (60-XX)
10 Measure and integration (28-XX)
10 Dynamical systems and ergodic theory (37-XX)
9 Statistical mechanics, structure of matter (82-XX)
7 Integral equations (45-XX)
7 Computer science (68-XX)
7 Classical thermodynamics, heat transfer (80-XX)
6 Geometry (51-XX)
6 Mechanics of particles and systems (70-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)
2 Difference and functional equations (39-XX)
2 Manifolds and cell complexes (57-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Geophysics (86-XX)

Citations by Year