Singularity theory and the geometry of a nonlinear elliptic equation

Bernhard Ruf

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1990)

  • Volume: 17, Issue: 1, page 1-33
  • ISSN: 0391-173X

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Ruf, Bernhard. "Singularity theory and the geometry of a nonlinear elliptic equation." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 17.1 (1990): 1-33. <http://eudml.org/doc/84067>.

@article{Ruf1990,
author = {Ruf, Bernhard},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {existence; uniqueness; multiplicity; Neumann boundary conditions; singularities},
language = {eng},
number = {1},
pages = {1-33},
publisher = {Scuola normale superiore},
title = {Singularity theory and the geometry of a nonlinear elliptic equation},
url = {http://eudml.org/doc/84067},
volume = {17},
year = {1990},
}

TY - JOUR
AU - Ruf, Bernhard
TI - Singularity theory and the geometry of a nonlinear elliptic equation
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1990
PB - Scuola normale superiore
VL - 17
IS - 1
SP - 1
EP - 33
LA - eng
KW - existence; uniqueness; multiplicity; Neumann boundary conditions; singularities
UR - http://eudml.org/doc/84067
ER -

References

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  1. [1] A. Ambrosetti - G. Prodi, On the inversion of some differentiable mappings with singularities between Banach spaces, Ann. Math. Pura Appl. 93 (1973), 231-247. Zbl0288.35020MR320844
  2. [2] M.S. Berger - P.T. Church, Complete integrability and perturbation of a nonlinear Dirichlet problem I, Indiana Univ. Math. J.28 (1979), 935-952. Zbl0425.35090MR551157
  3. [3] M.S. Berger - P.T. Church, Complete integrability and perturbation of a nonlinear Dirichlet problem II, Indiana Univ. Math. J. 29 (1980), 715-735. Zbl0477.35008MR589438
  4. [4] M.S. Berger - P.T. Church - J.G. Timourian, Folds and cusps in Banach spaces with applications to nonlinear partial differential equations, Indiana Univ. Math. J. 34 (1985), 1-19. Zbl0552.58010MR773391
  5. [5] V. Cafagna, Whitney singularities of a class of nonlinear boundary value problems, preprint. Zbl0558.58005
  6. [6] V. Cafagna - F. Donati, Un résultat global de multiplicité pour un problème différentiel nonlinéaire du premier ordre, C.R. Acad. Sci., Paris, Sér. I, 300 (1985), 523-526. Zbl0582.34009MR792381
  7. [7] M.A. Krasnoselskii, Topological Methods in the Theory of Nonlinear Integral Equations, Macmillan, New York, 1965. MR159197
  8. [8] F. Lazzeri - A.M. Micheletti, An application of singularity theory to nonlinear differentiable mappings between Banach spaces, preprint. Zbl0635.47053
  9. [9] P.H. Rabinowitz, Some global results for nonlinear eigenvalue problems, J. Funct. Anal.7 (1971), 487-513. Zbl0212.16504MR301587
  10. [10] R. Thom, Les singularités des applications différentiables, Ann. Inst. Fourier, 6 (1955-56), 43-87. Zbl0075.32104MR87149
  11. [11] H. Whitney, On singularities of mappings in Euclidean spaces I, Mappings of the plane into the plane, Ann. of Math.62 (1955), 374-410. Zbl0068.37101MR73980
  12. [12] E. Zeidler, Vorlesungen über nichtlineare Funktionalanalysis I, Teubner-Texte zur MathematikLeipzig, 1976. Zbl0326.47053MR628004

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