Sur une généralisation de l'inégalité de Wirtinger

B. Dacorogna; W. Gangbo; N. Subía

Annales de l'I.H.P. Analyse non linéaire (1992)

  • Volume: 9, Issue: 1, page 29-50
  • ISSN: 0294-1449

How to cite

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Dacorogna, B., Gangbo, W., and Subía, N.. "Sur une généralisation de l'inégalité de Wirtinger." Annales de l'I.H.P. Analyse non linéaire 9.1 (1992): 29-50. <http://eudml.org/doc/78270>.

@article{Dacorogna1992,
author = {Dacorogna, B., Gangbo, W., Subía, N.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {calculus of variations; crystals; best Sobolev constant; Wirtinger's inequality},
language = {fre},
number = {1},
pages = {29-50},
publisher = {Gauthier-Villars},
title = {Sur une généralisation de l'inégalité de Wirtinger},
url = {http://eudml.org/doc/78270},
volume = {9},
year = {1992},
}

TY - JOUR
AU - Dacorogna, B.
AU - Gangbo, W.
AU - Subía, N.
TI - Sur une généralisation de l'inégalité de Wirtinger
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1992
PB - Gauthier-Villars
VL - 9
IS - 1
SP - 29
EP - 50
LA - fre
KW - calculus of variations; crystals; best Sobolev constant; Wirtinger's inequality
UR - http://eudml.org/doc/78270
ER -

References

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  1. [1] G. Talenti, Best constant in Sobolev inequality, Ann. Mat. Pura Appl., vol. 110, 1976, p. 353-372. Zbl0353.46018MR463908
  2. [2] G. Talenti, Calcolo delle variazioni, Pitagora Editrice, Bologna, 1977. 
  3. [3] B. Dacorogna et C.E. Poster, Wulff theorem and best constant in Sobolev inequality, J. Math. Pures Appl., vol. 71, 1992. Zbl0676.46031MR1170247
  4. [4] G. Wulff, Zur Frage der Geschwindigkeit des Wachsturms und der Auflösung der Kristallflächen, Z. Kristallog., vol. 34, 1901, p. 449-530. 
  5. [5] A. Dinghas, Über einen geometrischen satz von Wulff für die Gleichgewichts form von Kristallen, Z. Kristallogr., vol. 105, 1944, p. 304-314. Zbl0028.43001MR12454
  6. [6] J.E. Taylor, Crystalline variational problems, Bull. A.M.S., vol. 84, 1978, p. 568-588. Zbl0392.49022MR493671
  7. [7] G.H. Hardy, J.E. Littlewood et G. Polya, Inequalities, Cambridge University Press, Cambridge, 1961. 

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