Weak shape formulation of free boundary problems
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 21 (1994) no. 1, pp. 11-44. 
@article{ASNSP_1994_4_21_1_11_0,
     author = {Zol\'esio, Jean-Paul},
     title = {Weak shape formulation of free boundary problems},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {11--44},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 21},
     number = {1},
     year = {1994},
     mrnumber = {1276761},
     zbl = {0807.49018},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1994_4_21_1_11_0/}
}
TY  - JOUR
AU  - Zolésio, Jean-Paul
TI  - Weak shape formulation of free boundary problems
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1994
SP  - 11
EP  - 44
VL  - 21
IS  - 1
PB  - Scuola normale superiore
UR  - http://www.numdam.org/item/ASNSP_1994_4_21_1_11_0/
LA  - en
ID  - ASNSP_1994_4_21_1_11_0
ER  - 
%0 Journal Article
%A Zolésio, Jean-Paul
%T Weak shape formulation of free boundary problems
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1994
%P 11-44
%V 21
%N 1
%I Scuola normale superiore
%U http://www.numdam.org/item/ASNSP_1994_4_21_1_11_0/
%G en
%F ASNSP_1994_4_21_1_11_0
Zolésio, Jean-Paul. Weak shape formulation of free boundary problems. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 21 (1994) no. 1, pp. 11-44. http://www.numdam.org/item/ASNSP_1994_4_21_1_11_0/

[1] H.W. Alt - L.A. Caffarelli, Existence and Regularity for a Minimum Problem with Free Boundary. Preprint of Courant Institute, N.Y, 1980. | MR

[2] E. De Giorgi - F. Colombini L.C. Piccinini, Frontiere orientate di misura minima e questioni collegate. Scuola Normale Superiore, Pisa, 1972. | MR | Zbl

[3] M.C. Delfour - J.P. Zolésio, Velocity Method and Lagrangian Formulation for the Computation of the Shape Hessian. SIAM J. Control Optim. 29 (1991), 1414-1442. | MR | Zbl

[4] J. Deny - J.L. Lions, Les espaces du type de Beppo Levi. Ann. Inst. Fourier (Grenoble) 5 (1953), 305-370. | Numdam | MR | Zbl

[5] A. Fasano, Lecture at the Nato Advance Study Shape Optimization and Free Boundary Problems, Montréal, 1990.

[6] H. Federer - W.P. Ziemer, The Lebesgue Set of a Function Whose Distribution Derivative are p-th Power Summable. Indiana Univ. Math. J. 22 (1972), 139-158. | MR | Zbl

[7] J. Sokolowski - J.P. Zolésio, Introduction to Shape Optimization. Shape Sensitivity Analysis. Computational Mathematics, vol. 16, Springer-Verlag, 1992. | MR | Zbl

[8] G. Stampacchia, Seminaire de mathématiques supérieures. Presse de l'Université de Montréal, 1960.

[9] R. Témam, Problèmes mathématiques en plasticité. Gauthier-Villars, Paris, 1983. | MR | Zbl

[10] J.P. Zolésio, Un résultat d'existence de vitesse convergente en optimisation de domaine. C.R. Acad. Sci. Paris Sér. I Math. 283 (1976), 855-859. | MR | Zbl

[11] J.P. Zolésio, Optimisation de domaine par déformation. Thèse de Doctorat d'état. Nice (France), 1979.

[12] J.P. Zolésio, Problème á frontiere libre issu de la physique des plasmas. C.R. Acad. Sci. Paris Sér. I Math, 188 (1979), 910-914.

[13] J.P. Zolésio, The Material Derivative (or Speed Method) for Shape Optimization. In Optimization of Distributed Parameter Systems, J. Céa, E. Haug eds., Sijthoff aand Noordhoff, 1980, 1089-1154. | MR | Zbl

[14] J.P. Zolésio, Shape Variational Formulation for Free Boundary Value Problems. In Optimization of Distributed Parameter Systems, J. Céa, E. Haug eds., Sijthoff aand Noordhoff, 1980, 1155-1194.

[15] J.P. Zolésio, Numerical Algorithms and Existence Result for a Bernoulli-like Steady Free Boundary Problem. Large Scale System, Elsevier Publ. (North-Holland) 6 (1984) 263-278. | MR | Zbl

[16] J.P. Zolésio, Shape Derivative and Shape Acceleration in Boundary Value Problems. Lecture notes in Control and Information Sc., 104 (1988), 153-191, A. Bermudez ed., Springer-Verlag, Heidelberg-Berlin-New York- Tokyo, 1988. | MR