[1] Acker (A.) et Meyer ( R.A.). - A free boundary problem for the p-Laplacian: uniqueness, convexity, and sucessive approximation of solutions, Electronic Journal of Differential Equations, 1995(1995), 1-20. | Zbl

[2] Barkatou ( M. ). - Un nouveau résultat d'existence en optimisation de forme application à un problème à frontière libre de type Bernoulli, Thèse de l'Université de Franche-Comté 1997 numéro d'ordre 591.

[3] Barkatou ( M. ) et Henrot ( A.). - Un résultat d'existence optimisation de forme en utilisant la proprièté géométrique de la normale, ESAIM-COCV: Contrôle , Optimisation et Calcul des Variations, (2) 1997, 105-123. | Numdam | Zbl

[4] Beurling (A.). - On the free boundary problems for Laplace eqution, Seminars on Analytic FonctionsI , Institute Advance Studies Seminars ( 1957), Princeton, 248-263. | Zbl

[5] Brézis (H. ). - Analyse fonctionnelle : théorie et applications , Masson, Paris, 1993.

[6] Boccardo ( L.) et Murat (F.). - Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations, Nonlinear analysis, theory, methods and applications, (6), 19, 581-597. | Zbl | MR

[7] Bucur (D.) et Zolésio ( J.P.). - N-dimentional shape optimisation under capacitary constraint, J. of Diff.Eq., 123-2(1995), 504-522. | Zbl | MR

[8] Chenais (D. ). - On the existence of a solution in a domain identification problem, J.Math.Anal.Appl., 52(1975), 189-289 | Zbl | MR

[9] Dibenedetto ( E.). - C1+α local regularity of weak solutions of degenerate elliptic equations, Nonlinear Analysis, 7(1983), 827-850. | Zbl | MR

[10] Flucher ( M.) and Rumpf (M.). - Bernoulli's free boundary problem, qualitative theory and numerical approximation, J.Reine Angew.Math, 486(1997), 165-204. | Zbl | MR

[11] Gilbarg ( D. ) et Trudinger ( N.S.). - Elliptic partial differential equatios of second order, Springer-Verlag , New York, 1983. | Zbl | MR

[12] Grisvard ( P. ). - Elliptic Problems in non smooth domains , Pitman Publishing Inc., 1985. | Zbl

[13] Gustafsson ( B.) et Shahgholian (H.). - Existence and geometric propeties of solutions of a free boundary problem in potential theory, J.fur die Reine und Ang.Math., 473( 1996), 137-179. | Zbl | MR

[14] Hedberg ( L.I. ). - Spectral synthesis and stability in Sobolev spaces, Euclidean Harmonic Analysis, Lecture Notes in Mathematics, J.J.Benedetto ed., 779, Springer, Berlin 1980 . | Zbl | MR

[15] Henrot (A. ). - Subsolutions and supersolutions in a free boundary problem, Arkiv for Math, 32-1(1994), 79-98. | Zbl | MR

[16] Henrot (A. ) et Shahgholian (H.). - Existence of classical solutions to a free boundary problem for the p-Laplace operator : the exterior convex case, J.Reine Angew.Math, 521(200), 85-97. | Zbl | MR

[17] Kavian (O. ). - Introduction à la théorie des points critiques et applications aux problèmes elliptiques, Springer-Verlag, France, Paris, 1993. | Zbl | MR

[18] Lavrent'Ev ( M.A.). - Variational methods for boundary value problems for systems of elliptic equations, Noordhoff, 1963. | Zbl | MR

[19] Lewis (J.L. ). - Regularity of the derivatives of solutions to certain degenerate elliptic equations, Indiana Univ . Math. J., 32(1983), 849-858. | Zbl | MR

[20] Lieberman ( G.M.). - Boundary regularity for solutions of degenerate elliptic equations, Nonlinear Analysis, 12(1988), 1203-1219. | Zbl | MR

[21] Ly (I. ). - Thèse de doctorat de troisième cycle : Résultats d'existence en optimisation de forme et étude d'un problème extérieur à frontière libre : cas du p-laplacien, Soutenue le 20 juin 2002, UGB, Sénégal.

[22] Ly (I. ) et Seck ( D.). - Étude d'un problème à frontière libre pour le p-laplacien, CRAS, Paris 332(2001 ), Série I, 899-902. | Zbl

[23] Meyer (R.A. ). - Approximation of the solutions of free boundary problems for p-Laplace equations, Ph.D. Dissertation, Wichita State University, 1993.

[24] Pironneau ( O. ). - Optimal shape design for elliptic systems, Springer Series in Computational Physics, Springer, New York 1984. | Zbl | MR

[25] Seck (D.). - Étude d'un problème à frontière libre de type Bernoulli , Thèse d'Université Franche-Comté numéro d'ordre 505, 1996 .

[26] Sokolowski ( J. ) et Zolesio (J.P.). - Introduction to Shape Optimization, Springer-Verlag, Paris, 1992. | Zbl | MR

[27] Tolksdorf ( P. ). - On the Dirichlet problem for quasilinear equations in domains with conical boundary points, Comm. Partial Differential Equations, 8( 1983), 773-817. | Zbl | MR

[28] Tolksdorf ( P.). - Regularity for a more general class of quasilinear elliptic equations, J.Differential Equations, 52(1984), 126-150. | Zbl | MR