suivant: Articles soumis dans des
monter: Liste de Publications
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- "Un problème inverse en formage des métaux liquides", en
collaboration avec
Michel Pierre, in Modél. Math. et Anal. Num. (
), vol.23,
n. 1, 1989, p. 155-177.
- "About existence of equilibria in electromagnetic casting", en
collaboration avec
Michel Pierre, in Quarterly of Applied Math., vol. 49. n. 3, 1991,
p. 563-575.
- "A nonlinear boundary value problem solved by spectral methods", en
collaboration avec
Olivier Coulaud, in Applicable Analysis, vol. 43, 1992, p. 229-244.
- "Behaviour of the free boundary in electromagnetic shaping when the
surface tension vanishes",
in Nonlinear Analysis T.M.A., vol. 20, n. 8, 1993, p. 965-978.
- "Numerical approximation of a free boundary problem arising in
electromagnetic shaping", en
collaboration avec Olivier Coulaud, in SIAM J. of Numerical Analysis,
vol. 31, n. 4, 1994, p. 1109-1127.
- "Subsolutions and supersolutions in a free boundary problem", in Arkiv för Matematik,
vol. 32, 1994, p. 79-98.
- "Continuity with respect to the domain for the laplacian: a survey",
in Control and Cybernetics,
vol. 23, n. 3, 1994, p. 427-443.
- "Domain optimization problem for stationary heat equation", en
collaboration avec W. Horn et Jan Sokolowski, in Appl. Math. and Comp.
Sci., vol.6, No.2, 1996, p. 1-21.
- "How to prove symmetry in shape optimization problems?", in
Control and Cybernetics, vol. 25, n.5, 1996, p. 1001-1013.
- "Convexity of free boundaries with Bernoulli type boundary condition",
en collaboration avec
Henrik Shahgholian, in Nonlinear Analysis T.M.A., vol. 28, n. 5, 1997,
p. 815-823..
- "On a class of overdetermined eigenvalue problems", en collaboration
avec Gérard A. Philippin, in Mathematical
Methods in the Applied Sciences, vol. 20, 1997, p. 905-914.
- "Un résultat d'existence en optimisation de forme en utilisant une
propriété géométrique de la normale", en collaboration avec
Mohamed Barkatou, in ESAIM COCV, vol. 2, 1997, p. 105-123.
- "Use of domain derivative to prove symmetry results in partial
differential equations", en
collaboration avec Mourad Choulli,in Mathematische
Nachrichten, vol. 192, 1998, p. 91-104.
- "Some overdetermined boundary value problems with elliptical free
boundaries", en collaboration
avec Gérard A. Philippin, in
SIAM Journal of Mathematical Analysis, vol. 29, n.2, 1998, p. 309-320.
- "Existence results for some optimal partition problems", en
collaboration avec Dorin Bucur et Giuseppe Buttazzo, in
Advances in Mathematical Sciences and Applications, vol. 8, n 2, 1998,
p. 571-579.
- "Overdetermined problems on ring shaped domains", en collaboration
avec G.A. Philippin et H. Prébet, in
Advances in Mathematical Sciences and Applications, vol. 9, n 2, 1999
p. 737-747.
- "Continuous Steiner Symmetrization and stability for the
Dirichlet problem", en collaboration avec Dorin Bucur, in
Potential Analysis, vol. 13, 2000, p. 127-145.
- "Existence of a classical solution to a free boundary problem
for the
-Laplace operator: (II) the interior convex
case", en collaboration avec Henrik Shahgholian, in
Indiana Univ. Math. Journal, 49 (2000), no. 1, 311-323.
- ``Some results about Schiffer's conjectures'', en collaboration
avec Thierry Chatelain, in Inverse Problems, vol. 15 (1999),
p. 647-658.
- "Domain derivative of the leading eigenvalue of a model transport
operator", en
collaboration avec Mourad Choulli et Mustapha Mokhtar-Kharroubi,
in Transport theory and statistical physics, vol. 28 4
(1999), p. 403-418.
- "Existence of a classical solution to a free boundary problem
for the
-Laplace operator I: the exterior convex
case", en collaboration avec Henrik Shahgholian,
in Journal für die Reine und Angewandte Mathematik, Band 521
(2000), 85-97..
- ``Minimization of the third eigenvalue of the Dirichlet Laplacian'',
en collaboration avec Dorin Bucur, in Proceedings
of the Royal Society of London, 456 (2000), 985-996.
- "Optimal location of the actuator for the pointwise stabilization of
a string", in C. R. Acad. Sci. Paris Sér. I Math, 330 (2000),
no. 4, 275-280.
- ``Optimization of the shape and the location of the actuators
in an internal control problem'', en collaboration avec Hervé Maillot,
in Bollettino della Unione Matematica Italiana, 4-B
(2001), 737-757.
- ``Continuity of the elasticity system solutions with respect to the
geometrical domain variations'', en collaboration avec Dorin Bucur,
Jan Sokolowski, A. Zochowski, in
Advances in Mathematical Sciences and Applications, 11
(2001), no. 1, 57-73.
- ``On the Bernoulli Free Boundary Problem and related Shape
Optimization Problems'', en collaboration avec Mohammed Hayouni et
Nadia Samouh, in Interfaces and free Boundaries,
no 1, vol 3 (2001), 1-13.
- "A symmetry result for an overdetermined elliptic problem
using continuous rearrangement and domain derivative",
en collaboration avec
Friedemann Brock, in Rendiconti del
Circolo Matematico di Palermo, Serie II, Vol. 51 (2002), 375-390.
- "Le stade ne minimise pas
parmi les ouverts convexes
du plan", en collaboration avec Edouard Oudet,
in C. R. Acad. Sci. Paris Sér. I Math, 332 (2001), 417-422.
- "Optimal pointwise stabilization of a
string", en collaboration avec Kais Ammari et Marius Tucsnak,
in Asymptotic analysis, 28 (2001), 215-240.
- "On some recent advances in shape optimization", en collaboration
avec Gregoire Allaire,
in C. R. Acad. Sci. Paris Sér. IIb Mech., 329 (2001), 383-396.
- "The one-phase free boundary problem for the p-Laplacian
with non-constant Bernoulli boundary condition", en collaboration avec
Henrik Shahgholian, in Transactions of the AMS, 354
no. 6 (2002), 2399-2416.
- "An Optimum Design Problem in Magnetostatics", en collaboration avec
Gregory Villemin, in Modelisation
Mathematique et Analyse Numerique, 36, no. 2 (2002), 223-239.
- ``Optimal shape and position of the actuators
for the stabilization of a string'', en collaboration avec
Pascal Hebrard, in Systems and Control Letters, 48 (2003),
199-209.
- "On numerical solution of shape inverse problems",
en collaboration avec L. Jackowska-Strumillo, J. Sokolowski
et A. Zochowski, in Computational Optimization
and Applications, 23 (2002), 231-255.
- ``Minimization problems for eigenvalues
of the Laplacian'',
PDF-FILE, in
Journal of Evolution Equations, 3 (2003), 443-461.
- ``Minimizing the second eigenvalue
of the Laplace operator
with Dirichlet boundary conditions'',
PDF-FILE,
en collaboration
avec Edouard Oudet, in
Archive for Rational Mechanics and Analysis, 169 (2003), 73-87.
- "Approximate radial symmetry for
solutions of a class of boundary
value problems in ring-shaped domains",
en collaboration avec Gerard Philippin, in ZAMP, 54 (2003),
784-796.
- "Finite Dimensional Reduction for the Positivity of some
Second Shape Derivatives",
en collaboration avec Michel Pierre et
Mounir Rihani, in Methods and Applications of Analysis,
10, no 3 (2003), 457-476.
- "The multi-layer free boundary problem for the $p$-Laplacian
in convex domains",
en collaboration avec Andrew Acker, Mikayel Poghosyan et
Henrik Shahgholian, in Interfaces and free Boundaries,6
(2004), 81-103.
- "Positivity of the shape Hessian and instability of some
equilibrium shapes",
en collaboration avec Michel Pierre et
Mounir Rihani, in Mediterranean Journal of Mathematics,
1, (2004), 195-214.
- "On the first twisted Dirichlet eigenvalue",
PDF-FILE,
en collaboration avec Pedro Freitas, in
Communications in Analysis and Geometry, 12, no 5 (2004),
1083-1103.
- "A spillover phenomenon in the optimal location of actuators",
PDF-FILE,
en collaboration avec Pascal Hébrard, in
SIAM J. Control and Optimization, 44, no 1 (2005),
349-366.
- " Mathematical challenges in shape optimizations",
PDF-FILE,
en collaboration avec Jan Sokolowski, in
Control and Cybernetics, 34, no 1 (2005),
37-57.
- " Convergence results for a semilinear problem and for a Stokes problem in a periodic geometry",
PDF-FILE,
en collaboration avec Séverine Baillet et Takéo Takahashi, in
Asymptotic Analysis, 50, 3-4 (2006), 325-337.
- " Shape minimization of dendritic attenuation",
PDF-FILE,
en collaboration avec Yannick Privat, in
Applied Mathematics and Optimization, 57, no 1
(2008), 1-17.
- " Eliciting harmonics on strings",
PDF-FILE,
en collaboration avec Steve Cox, to appear in
ESAIM COCV, 14, (2008), 657-677.
- " Some isoperimetric inequalities with application to the Stekloff problem",
PDF-FILE,
en collaboration avec Gerard Philippin and Abdesselem Safoui, to appear in
Journal of Convex Analysis, 15, no3 (2008), 581-592.
- " Une conduite cylindrique n'est pas optimale pour minimiser
l'énergie dissipée par un fluide",
PDF-FILE,
en collaboration avec Yannick Privat, in
C. R. Acad. Sci. Paris Sér. I Math, 346, 19-20
(2008), 1057-1061.
- " What is the optimal shape of a pipe?",
PDF-FILE,
en collaboration avec Yannick Privat, to appear in
Archive for Rational Mechanics and Analysis.
- "Minimization of
$\lambda_2(\Omega)$ with a perimeter constraint",
PDF-FILE,
en collaboration avec Dorin Bucur et Giuseppe Buttazzo, to appear in
Indiana U. Math.
Journal, 15, no3 (2008), 581-592.
suivant: Articles soumis dans des
monter: Liste de Publications
précédent: Liste de Publications
Antoine Henrot
2001-01-24