Sur l'alternative de Fredholm pour les opérateurs non-linéaires avec applications aux problèmes aux limites

Jindřich Nečas

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1969)

  • Volume: 23, Issue: 2, page 331-345
  • ISSN: 0391-173X

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Nečas, Jindřich. "Sur l'alternative de Fredholm pour les opérateurs non-linéaires avec applications aux problèmes aux limites." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.2 (1969): 331-345. <http://eudml.org/doc/83493>.

@article{Nečas1969,
author = {Nečas, Jindřich},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Fredholm alternative; nonlinear operators; Banach spaces},
language = {fre},
number = {2},
pages = {331-345},
publisher = {Scuola normale superiore},
title = {Sur l'alternative de Fredholm pour les opérateurs non-linéaires avec applications aux problèmes aux limites},
url = {http://eudml.org/doc/83493},
volume = {23},
year = {1969},
}

TY - JOUR
AU - Nečas, Jindřich
TI - Sur l'alternative de Fredholm pour les opérateurs non-linéaires avec applications aux problèmes aux limites
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1969
PB - Scuola normale superiore
VL - 23
IS - 2
SP - 331
EP - 345
LA - fre
KW - Fredholm alternative; nonlinear operators; Banach spaces
UR - http://eudml.org/doc/83493
ER -

References

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  1. [1] J. Leray, J.L. Lions: Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder, Bull. Soc. Math, France 93 (1965), 97-107. Zbl0132.10502MR194733
  2. [2] F.E. Browder: Problèmes non-linéaires, séminaire de mathématiques supérieures, Montréal1966. Zbl0153.17302MR250140
  3. [3] J. Ne: Les éqnations elliptiques non linéaires, Conrs d'été 1967, Tchécoslovaquie, à paraître dans Czechoslovac mathematical jonrn. 1969. 
  4. [4] F.E. Browder: Variational boundary value problems for quasi-linear elliptic equations, II, Proc. Nat. Acad. Sciences, Vol. 50, n. 4, 592-598, (1963). Zbl0121.08301MR166475
  5. [5] M.M. Vajnberg: Variacionyje metody isledovanija nélinĕjnych operatorov, Moskva1956. 
  6. [6] J. Ne: Sur la régularité des solutions faibles des équations elliptiques non linéaires, Sémin. équat, part., Collège de France, 1968. MR241804

Citations in EuDML Documents

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  1. Jindřich Nečas, Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations
  2. Milan Kučera, Fredholm alternative for nonlinear operators
  3. Svatopluk Fučík, Fredholm alternative for nonlinear operators in Banach spaces and its applications to the differential and integral equations (Preliminary communication)
  4. Filomena Pacella, Note on spectral theory of nonlinear operators: Extensions of some surjectivity theorems of Fučík and Nečas
  5. Appell, Jürgen, A la recherche du spectre perdu: An invitation to nonlinear spectral theory
  6. Svatopluk Fučík, Fredholm alternative for nonlinear operators in Banach spaces and its applications to differential and integral equations
  7. Jens Franke, Thomas Runst, Nonlinear perturbations of linear non-invertible boundary value problems in function spaces of type B p , q s and F p , q s
  8. Svatopluk Fučík, Note on the Fredholm alternative for nonlinear operators
  9. Jindřich Nečas, Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type
  10. Walter Petry, On the iterative construction of a solution of nonlinear elliptic boundary value problems

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