@article{COCV_1997__2__105_0, author = {Barkatou, M. and Henrot, A.}, title = {Un r\'esultat d'existence en optimisation de forme en utilisant une propri\'et\'e g\'eom\'etrique de la normale}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {105--123}, publisher = {EDP-Sciences}, volume = {2}, year = {1997}, mrnumber = {1451483}, zbl = {0920.49027}, language = {fr}, url = {http://archive.numdam.org/item/COCV_1997__2__105_0/} }
TY - JOUR AU - Barkatou, M. AU - Henrot, A. TI - Un résultat d'existence en optimisation de forme en utilisant une propriété géométrique de la normale JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 1997 SP - 105 EP - 123 VL - 2 PB - EDP-Sciences UR - http://archive.numdam.org/item/COCV_1997__2__105_0/ LA - fr ID - COCV_1997__2__105_0 ER -
%0 Journal Article %A Barkatou, M. %A Henrot, A. %T Un résultat d'existence en optimisation de forme en utilisant une propriété géométrique de la normale %J ESAIM: Control, Optimisation and Calculus of Variations %D 1997 %P 105-123 %V 2 %I EDP-Sciences %U http://archive.numdam.org/item/COCV_1997__2__105_0/ %G fr %F COCV_1997__2__105_0
Barkatou, M.; Henrot, A. Un résultat d'existence en optimisation de forme en utilisant une propriété géométrique de la normale. ESAIM: Control, Optimisation and Calculus of Variations, Tome 2 (1997), pp. 105-123. http://archive.numdam.org/item/COCV_1997__2__105_0/
[1] Existence and regularity for a minimum problem with free boundary, J. Reine angew. Math., 325, 1981, 105-144. | MR | Zbl
, :[2] Thèse de l'Université de Franche-Comté, 1997.
:[3] On drag differentiability for Lipschitz domains, Control of Partial Differential Equations and Applications, Lecture Notes in Pure and Applied Mathematics Series 174, Dekker, New York, 1995. | MR | Zbl
, , , :[4] N-dimensional shape optimization under capacitary constraints, J. of Diff. Eq., 123-2, 1995, 504-522. | MR | Zbl
, :[5] Boundary optimization under pseudo-curvature constraint, Ann. Scuola Norm. Pisa, à paraître, 1996. | Numdam | MR | Zbl
, :[6] On the existence of a solution in a domain identification problem, J. Math. Anal. Appl., 52, 1975, 189-289. | MR | Zbl
:[7] Sur une famille de variétés à bord lipschitziennes, application à un problème d'identification de domaine, Ann. Inst. Fourier, 4-27, 1977, 201-231. | Numdam | MR | Zbl
:[8] Existence and geometric properties of solutions of a free boundary problem in potential theory, à paraître dans J. für die Reine und Ang. Math. | Zbl
, :[9] Spectral synthesis and stability in Sobolev spaces, Euclidean Harmonic Analysis, Lecture Notes in Mathematics, J.J. Benedetto ed., 779, Springer, Berlin, 1980. | MR | Zbl
:[10] Continuity with respect to the domain for the laplacian : a survey, Control and Cybernetics, 23-3, 1994, 427-443. | MR | Zbl
:[11] Subsolutions and supersolutions in a free boundary problem, Arkiv für Math., 32-1, 1994, 79-98. | MR | Zbl
:[12] On the solvability and the stability of the Dirichlet problem, Amer. Math. Soc. Trans., 2-51, 1-73, 1966. | Zbl
:[13] Foundations of modern potential theory, Springer, Berlin, 1972. | MR | Zbl
:[14] Quelques résultats sur le contrôle par un domaine géométrique, Publ. du labo. d'Anal. Num., Paris VI, 1-46, 1974.
, :[15] Optimal shape design for elliptic systems, Springer Series in Computational Physics, Springer, New York, 1984. | MR | Zbl
:[16] Quadrature surfaces as free boundaries, Arkiv für Math., 32-2, 1994, 475-492. | MR | Zbl
:[17] Introduction to shape optimization : shape sensitity analysis, Springer Series in Computational Mathematics, 10, Springer, Berlin, 1992. | MR | Zbl
, :[18] On optimal shape design, J. Maths Pures Appl., 72-6, 1993, 537-551. | MR | Zbl
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