A “quasi maximum principle” for I -surfaces

Ruben Jakob

Annales de l'I.H.P. Analyse non linéaire (2007)

  • Volume: 24, Issue: 4, page 549-561
  • ISSN: 0294-1449

How to cite

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Jakob, Ruben. "A “quasi maximum principle” for $I$-surfaces." Annales de l'I.H.P. Analyse non linéaire 24.4 (2007): 549-561. <http://eudml.org/doc/78749>.

@article{Jakob2007,
author = {Jakob, Ruben},
journal = {Annales de l'I.H.P. Analyse non linéaire},
language = {eng},
number = {4},
pages = {549-561},
publisher = {Elsevier},
title = {A “quasi maximum principle” for $I$-surfaces},
url = {http://eudml.org/doc/78749},
volume = {24},
year = {2007},
}

TY - JOUR
AU - Jakob, Ruben
TI - A “quasi maximum principle” for $I$-surfaces
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2007
PB - Elsevier
VL - 24
IS - 4
SP - 549
EP - 561
LA - eng
UR - http://eudml.org/doc/78749
ER -

References

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  2. [2] Alt H.W., Lineare Funktionalanalysis, 3. Auflage, Springer-Verlag, Berlin, 1999. Zbl0923.46001
  3. [3] Amann H., Ordinary Differential Equations, Studies in Mathematics, vol. 13, de Gruyter, Berlin, 1990. Zbl0708.34002MR1071170
  4. [4] Guillemin V., Pollack A., Differential Topology, Prentice Hall, Englewood Cliffs, NJ, 1974. Zbl0361.57001MR348781
  5. [5] Hildebrandt S., Analysis 2, Springer-Verlag, Berlin, 2003. Zbl1112.26001MR2008327
  6. [6] Jakob R., Unstable extremal surfaces of the “Shiffman-functional”, Calc. Var.21 (2004) 401-427. Zbl1083.49026
  7. [7] Jakob R., Instabile Extremalen des Shiffman-Funktionals, Bonner Math. Schriften362 (2003) 1-103. Zbl1083.49027MR2069486
  8. [8] R. Jakob, Unstable extremal surfaces of the “Shiffman functional” spanning rectifiable boundary curves, Calc. Var., 2006, in press, doi:10.1007/s00526-006-0052-y. 
  9. [9] McShane E.J., Parametrization of saddle surfaces, with application to the problem of Plateau, Trans. Amer. Math. Soc.35 (1933) 716-733. Zbl0007.11902MR1501713
  10. [10] McShane E.J., Existence theorems for double integral problems of the calculus of variations, Trans. Amer. Math. Soc.38 (1935) 549-563. Zbl0013.12001MR1501828JFM61.0555.01
  11. [11] Nitsche J.C.C., Vorlesungen über Minimalflächen, Grundlehren der mathematischen Wissenschaften, vol. 199, Springer-Verlag, Berlin, 1975. Zbl0319.53003MR448224
  12. [12] Shiffman M., Instability for double integral problems in the calculus of variations, Ann. of Math.45 (3) (1944) 543-576. Zbl0063.06963MR11162

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