Dualité en calcul des variations et application aux hypersurfaces minimales

Roger Temam

Séminaire Jean Leray (1971)

  • page 1-9

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Temam, Roger. "Dualité en calcul des variations et application aux hypersurfaces minimales." Séminaire Jean Leray (1971): 1-9. <http://eudml.org/doc/112555>.

@article{Temam1971,
author = {Temam, Roger},
journal = {Séminaire Jean Leray},
language = {fre},
pages = {1-9},
publisher = {Collège de France},
title = {Dualité en calcul des variations et application aux hypersurfaces minimales},
url = {http://eudml.org/doc/112555},
year = {1971},
}

TY - JOUR
AU - Temam, Roger
TI - Dualité en calcul des variations et application aux hypersurfaces minimales
JO - Séminaire Jean Leray
PY - 1971
PB - Collège de France
SP - 1
EP - 9
LA - fre
UR - http://eudml.org/doc/112555
ER -

References

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  1. [1] E. Bombieri, E. De Giorgi, M. Miranda.Una maggiorazione a priori relative alle ipersuperfici minimali non parametriche. Arch. Rat. Mech. Anal., 32, 1969, p. 255-267. Zbl0184.32803MR248647
  2. [2 ] Courant, Hilbert.Methods of Mathematical physics, Interscience publisher. Zbl0051.28802
  3. [3] E. De Giorgi.Sulla differenziabilita e l'analiticitá delle estremali degli integrali multipli regolari. Memorie delle Acc. Sci. Torino, S. 3, t. 3, 1957, p. 25-43. Zbl0084.31901MR93649
  4. [4] E. De Giorgi.Nouveaux résultats dans la théorie des hypersurfaces minima. Conf. faites au College de France, Juin 1970. 
  5. [5] W. Fenchel.Convex cones, sets and functions. LectureNotes, Princeton, 1953. Zbl0053.12203
  6. [6] E. Hopf.Über den funktionalen, insbesondere den analytischen charakter, der Lösungen elliptischer differentialgleichungen zweiter ordnung. Math. Z., 34, 1931, p. 194-233. Zbl0002.34003MR1545250JFM57.0556.01
  7. [7] Jenkin, J. Serrin.Variational problems of minimal surface type, I, II, III. Arch. Rat. Mech. Anal.12, 1963, p. 185-212; 21, 1966, p. 321-342; 29, 1968, p. 304-322. Zbl0122.39602MR145194
  8. [8] J.J. Kohn, L. Nirenberg.Degenerate elliptic parabolic équations of second order. Comm. pureAppl. Math.XX, 1967, p. 797-872. Zbl0153.14503MR234118
  9. [9] O.A. Ladyzenskaya, N.N. Uralceva.Equations aux dérivées partielles de type elliptique. Dunod, Paris, 1968. Zbl0164.13001MR239273
  10. [10] O.A. Ladyzenskaya, N.N. Uralceva.Local estimates for gradients of solutions of non-uniformily elliptic and parabolic equations. Comm. Pure Appl. Math., XVIII, 1970, p. 677-703. Zbl0193.07202MR265745
  11. [11] J.L. Lions.Problèmes aux limites. Presses de l'Univ. de Montréal, 1962. Zbl0143.14003
  12. [12] J.L. Lions.Quelques méthodes de résolution des équations aux dérivées partielles non linéaires. Dunod-Gauthier-Viliars, Paris, 1969 Zbl0189.40603MR259693
  13. [13] J.J. Moreau.Fonctionnelles convexes. Séminaire sur les équations aux dérivées partielles, Collège de France, 1966. 
  14. [14] C.B. Morrey.Multiple integrals in the calculus of variations. Springer-Verlag, Berlin-New-York, 1966. Zbl0142.38701MR202511
  15. [15] R.T. Rockafellar.Duality and stability in extremum problems involving convex functions. Pac. J. of Math., 21, 1967, p. 167-187. Zbl0154.44902MR211759
  16. [16] R.T. Rockafellar.Convex analysis. Princeton University Press, 1970. Zbl0193.18401MR274683
  17. [17] R. Temam.Remarques sur la dualité en calcul des variations. C.R. Acad. Sci., Paris, 270, 1970, p. 754-757. Zbl0189.42001MR259710
  18. [18] R. Temam.Calcul des variations. Cours de 3ème cycle, Fac . Sc. d'Orsay, 1970, à paraître. 
  19. [19] R. Temam.Solution généralisée de certaines équations du type hypersurfaces minimales, à paraître. Zbl0252.49002

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