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Author ID: henrot.antoine Recent zbMATH articles by "Henrot, Antoine"
Published as: Henrot, Antoine; Henrot, A.; Henrott, Antoine
Homepage: https://iecl.univ-lorraine.fr/membre-iecl/henrot-antoine/
External Links: MGP · dblp
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

Publications by Year

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 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