Sur une méthode générale pour la solution des problèmes aux limites non linéaires

Jindřich Nečas

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1966)

  • Volume: 20, Issue: 4, page 655-674
  • ISSN: 0391-173X

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Nečas, Jindřich. "Sur une méthode générale pour la solution des problèmes aux limites non linéaires." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 20.4 (1966): 655-674. <http://eudml.org/doc/83400>.

@article{Nečas1966,
author = {Nečas, Jindřich},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {nonlinear operators; Banach spaces; existence of solutions; quasilinear elliptic equations; Bernstein equation},
language = {fre},
number = {4},
pages = {655-674},
publisher = {Scuola normale superiore},
title = {Sur une méthode générale pour la solution des problèmes aux limites non linéaires},
url = {http://eudml.org/doc/83400},
volume = {20},
year = {1966},
}

TY - JOUR
AU - Nečas, Jindřich
TI - Sur une méthode générale pour la solution des problèmes aux limites non linéaires
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1966
PB - Scuola normale superiore
VL - 20
IS - 4
SP - 655
EP - 674
LA - fre
KW - nonlinear operators; Banach spaces; existence of solutions; quasilinear elliptic equations; Bernstein equation
UR - http://eudml.org/doc/83400
ER -

References

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  1. [1] T.H. Hildebrandt, L.M. Graves: Impticit functions and their differentials in general Analysis, Trans. Amer. Math. Soc.29 (1927), 127-153. MR1501380JFM53.0234.02
  2. [2] J. Leray, J. Schauder: Topologie et équations fonctionnelles, Ann. Éc. N. Sup.51 (1934), 45-78. Zbl60.0322.02MR1509338JFM60.0322.02
  3. [3] M.M. Vajnberg: Les méthodes variationnelles dans la théorie des opérateurs non-linéaires (en russe), Moscou1956. 
  4. [4] J. Schauder: Zur Théorie stetiger Abbildungen in Fuktionalräumen, Math. Zeitschrift (1927), 26, 47-65. MR1544841JFM53.0374.01
  5. [5] J. Schauder: Der Fixpunktsatz in Funktionalräume, Studia Math.II (1930), 171-180. JFM56.0355.01
  6. [6] A.I. Košelev: Les estimations à priori dans Lp et les solutions généralisées des équations elliptiques ainsi que des systèmes, (en russe), Uspech. Mat. Nauk, XIII (1958), 29-88. Zbl0122.33702MR125327
  7. [7] S. Agmon, A. Douglis, L. Nirenberg: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I, Comm. Pure Appl. Math.XII, 623-727, 1959. Zbl0093.10401MR125307
  8. [8] E. Gagliardo: Proprietà di alcune classi in più variabili, Ricerche di Matem. (1958), I, 102-137. Zbl0089.09401MR102740
  9. [9] E.S. Citlanadze: Sur La différentiabilité des fonctionelles, (en russe) Matem. Sbor, 29 (1951), 3-12. 
  10. [10] F.E. Browder: Séminaire de mathématiques supérieursMontréal, 1965. Zbl0153.17302
  11. [11] J. Cronin: Fixed points and topological degree in non-linear analysis, Amer. Math. Soc.1964. Zbl0117.34803MR164101
  12. [12] S.N. Bernstein: Sur les équations du calcul des variations, Ann. Éc. Norm. Sup., 29 (1912), 431-486. JFM43.0460.01

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