Free Access
Issue
ESAIM: M2AN
Volume 23, Number 4, 1989
Page(s) 615 - 625
DOI https://doi.org/10.1051/m2an/1989230406151
Published online 31 January 2017
  1. A. ACKER, A free boundary optimization problem. SIAM J. Math. Anal. 9(1978) pp.1179-1191. [MR: 512520] [Zbl: 0335.31002]
  2. H. W. ALT and L. A. CAFARELLI, Existence and regularity for a minimum problem with free boundary. J. Reine u. Angew. Mathematik 325 (1981)pp. 104-144. [EuDML: 152360] [MR: 618549] [Zbl: 0449.35105]
  3. N. V. BANICHUK, Problems and methods of optimal structural design. Plenum Press, London (1983). [MR: 715778] [Zbl: 0649.73041]
  4. N. BOURBAKI, Espaces Vectoriels Topologiques, Hermann, Paris (1973).
  5. Ch. CASTAING and M. VALADIER, Convex Analysis and Measurable Multifonctions. Lect. Notes in Math. no. 580, Springer-Verlag, New York (1977). [MR: 467310] [Zbl: 0346.46038]
  6. J. CEA, Optimisation, théorie et algorithmes. Dunod, Paris (1971). [MR: 298892] [Zbl: 0211.17402]
  7. J. CEA, Problems of shape optimal design in « Optimization of distributed parameter structures, NATO Proceedings » (Eds. Haug, E. J. and Cea, J. ). Sijthoff and Noordhoff (1981). [Zbl: 0517.73096]
  8. J. CEA and K. MALANOWSKI, An example of a max-min problem in partial differential equations. SIAM J. Control and Optimization (1970) pp. 305-316. [MR: 274915] [Zbl: 0204.46603]
  9. D. CHENAIS, On the exixtence of a solution in a domain identification problem, J. Math. Anal. and Appl. 52 (1975) pp. 189-219. [MR: 385666] [Zbl: 0317.49005]
  10. I. EKELAND and R. TEMAM, Analyse convexe et problèmes variationels. Dunod, Paris (1974). [MR: 463993] [Zbl: 0281.49001]
  11. Cl. GEBHARDT, Regularity of solutions of non-linear variational inequalities. Arch. Rat. Mech. and Anal. 52 (1973) pp. 383-393. [Zbl: 0277.49003]
  12. D. GILBARG and N. TRUDINGER, Elliptic Partial Differential Aquations of second order. Springer, New York (1977). [MR: 473443] [Zbl: 0361.35003]
  13. R. B. GONZALEZ DE PAZ, Sur un problème d'optimisation de domaine. Numer. Funct. Anal. and Optimiz. 5 (1982) pp. 173-197. [MR: 704111] [Zbl: 0503.49017]
  14. B. KAWOHL, Geometrical properties of level sets of solutions to elliptic problems. Proc. Symp. in Pure Math. A.M.S. (1986), part 2, pp. 25-36. [MR: 843592] [Zbl: 0597.35016]
  15. D. KINDERLEHRER and G. STAMPACCHIA, An introduction to variational inequalities and their applications. Academic Press, New York (1980). [MR: 567696] [Zbl: 0457.35001]
  16. H. LANCHON, Torsion élastoplastique d'un arbre. J. de Mech. 13 (1974) pp. 367-318. [Zbl: 0285.73020] [MR: 363107]
  17. J. J. MOREAU, Fonctionnelles convexes. Séminaire sur les équations aux dérivées partielles. Collèges de France (1966-67).
  18. J. NEÇAS, Les méthodes directes en théorie des équations elliptiques. Masson, Paris (1967). [MR: 227584]
  19. J. PIRONNEAU, Optimal shape design for elliptic systems. Springer-Verlag, New York (1984). [MR: 725856] [Zbl: 0534.49001]
  20. G. POLYA and A. WEINSTEIN, On the torsional rigidity of multiply-connected cross sections. Ann. Math. 52 (1950) pp. 154-163. [MR: 40159] [Zbl: 0038.37502]
  21. M. VALADIER, Sous-différentiels d'une borne supérieure et d'une somme continue de fonctions convexes. C. R. Acad. Sc. Paris, Serie A, 268, pp. 39-42 (janvier 1969). [MR: 241975] [Zbl: 0164.43302]
  22. J. P. ZOLESIO, Domain variational formulation for free boundary problem, in « Optimization of distributed parameter structures. NATO-Proceedings » (Eds. Haug, E. J. and Cea. J.). Sijthoff and Noordhoff (1981). [MR: 690992] [Zbl: 0537.35074]
  23. J. P. ZOLESIO, Indentification de domaines par déformation. Doctoral Thesis, Université de Nice (1979).
  24. R. JENSEN, Boundary regularity for variational inequalities. Indiana Univ. Math. J. 29 (1980) pp. 495-511. [MR: 578201] [Zbl: 0469.49008]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you