Principe du maximum local et solutions généralisées de problèmes du type hypersurfaces minimales

Alain Lichnewsky

Bulletin de la Société Mathématique de France (1974)

  • Volume: 102, page 417-433
  • ISSN: 0037-9484

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Lichnewsky, Alain. "Principe du maximum local et solutions généralisées de problèmes du type hypersurfaces minimales." Bulletin de la Société Mathématique de France 102 (1974): 417-433. <http://eudml.org/doc/87236>.

@article{Lichnewsky1974,
author = {Lichnewsky, Alain},
journal = {Bulletin de la Société Mathématique de France},
language = {fre},
pages = {417-433},
publisher = {Société mathématique de France},
title = {Principe du maximum local et solutions généralisées de problèmes du type hypersurfaces minimales},
url = {http://eudml.org/doc/87236},
volume = {102},
year = {1974},
}

TY - JOUR
AU - Lichnewsky, Alain
TI - Principe du maximum local et solutions généralisées de problèmes du type hypersurfaces minimales
JO - Bulletin de la Société Mathématique de France
PY - 1974
PB - Société mathématique de France
VL - 102
SP - 417
EP - 433
LA - fre
UR - http://eudml.org/doc/87236
ER -

References

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  1. [1] BOMBIERI (E.), DE GIORGI (E.) et MIRANDA (M.). — Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche, Arch. rat. Mech. and Anal., t. 32, 1969, p. 255-267. Zbl0184.32803MR40 #1898
  2. [2] BRONSTED (A.) et ROCKAFELLAR (R. T.). — On the subdifferentiability of convex functions, Proc. Amer. Math. Sc., t. 16, 1965, p. 605-611. Zbl0141.11801MR31 #2361
  3. [3] EKELAND (I.) et TEMAM (R.). — Analyse convexe et problèmes variationnels. — Paris, Dunod-Bordas, 1974. Zbl0281.49001MR57 #3931a
  4. [4] GAGLIARDO (E.). — Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in n-variabili, Rend. Sem. Mat. Padova, t. 27, 1957, p. 284-305. Zbl0087.10902MR21 #1525
  5. [5] KRASNOLSELSK'IJ (M. A.). — Topological methods in the theory of non-linear integral equations. — Oxford, Pergamon Press, 1964 (International Series of Monographs on pure and applied Mathematics, 45). Zbl0111.30303
  6. [6] LADYŽENSKAJA (O. A.) et URAL'CEVA (N. N.). — Linear and quasilinear elliptic equations. — New York, Academic Press, 1968 (Mathematics in Science and Engineering, 46). Zbl0164.13002
  7. [7] LADYŽENSKAJA (O. A.) et URAL'CEVA (N. N.). — Local estimates for gradients of solutions of non-uniformly elliptic and parabolic equations, Comm. pure and appl. Math., t. 23, 1970, p. 677-703. Zbl0193.07202MR42 #654
  8. [8] LICHNEWSKY (A.). — Principe du maximum local et solutions généralisées de problèmes du type hypersurface minima, Thèse 3e cycle, Univ. Paris-Sud Orsay, 1973. 
  9. [9] LIONS (J. L.). — Problèmes aux limites dans les équations aux dérivées partielles. — Montréal, Presses de l'Université de Montréal, 1962 (Séminaire de Mathématiques supérieures. Été 1962, 1). Zbl0143.14003
  10. [10] MIRANDA (M.). — Existence and regularity of hypersurfaces of Rn with prescribed mean curvature, "Partial differential equations. Proceedings of the symposium held at Berkeley, 1971", p. 1-9. — Providence, American mathematical Society, 1973 (Proceedings of Symposia in pure Mathematics, 23). Zbl0274.35022
  11. [11] MIRANDA (M.). — Un teorema di esistenza e unicita per il problema dell'area minima in n variabili, Ann. Scuola, norm. sup. Pisa, t. 19, 1965, p. 233-249. Zbl0137.08201MR31 #6144
  12. [12] MOREAU (J. J.). — Weak and strong solutions of dual problems, "Contributions to non-linear functional analysis. Proceedings of a symposium, held at Madison, 1971". — New-York, Academic Press, 1971. Zbl0274.49007
  13. [13] ROCKAFELLAR (R. T.). — Integrals which are convex functionnals, Pacific J. of Math., t. 24, 1968, p. 525-529; et t. 39 p. 439-469, 1971. Zbl0159.43804
  14. [14] ROCKAFELLAR (R. T.). — Convex analysis. — Princeton, Princeton University Press, 1970 (Princeton mathematical Series, 28). Zbl0193.18401MR43 #445
  15. [15] SCHWARTZ (L.). — Théorie des distributions. Nouvelle édition. — Paris, Hermann, 1966 (Publ. Inst. Math. Univ. Strasbourg, 9-10). Zbl0149.09501MR35 #730
  16. [16] SERRIN (J.). — The Problem of Dirichlet for quasilinear elliptic differential equations with many independent variables, Phil. Trans. Royal Soc. Lond., t. A. 264, 1969, p. 413-496. Zbl0181.38003MR43 #7772
  17. [17] SERRIN (J.). — Local behaviour of quasilinear equations, Acta Math., Uppsala, t. 111, 1964, p. 247-302. Zbl0128.09101MR30 #337
  18. [18] STAMPACCHIA (G.). — Équations elliptiques du second ordre à coefficients discontinus. — Montréal, Presses de l'Université de Montréal, 1966, Séminaire de mathématiques supérieures. Été 1965, 16). Zbl0151.15501
  19. [19] STAMPACCHIA (G.). — On some regular multiple integral problems in the calculus of variations, Comm. pure and appl. Math., t. 16, 1963, p. 383-421. Zbl0138.36903MR27 #5148
  20. [20] TEMAM (R.). — Calcul des variations, Cours de 3e cycle, Université d'Orsay, 1970/1971 (Publications mathématiques d'Orsay). 
  21. [21] TEMAM (R.). — Solutions généralisées de certaines équations du type hypersurfaces minimales, Arch. rat. Mech. and Anal., t. 44, 1971, p. 121-156. Zbl0252.49002MR49 #3647
  22. [22] TRUDINGER (N. S.). — On the analicity of generalized minimal surfaces, Bull. Austral. math. Soc., t. 5, 1971, p. 315-320. Zbl0231.35014MR46 #501

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