Landesman-Lazer conditions for strongly nonlinear boundary value problems

Lucio Boccardo; Pavel Drábek; Milan Kučera

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 3, page 411-427
  • ISSN: 0010-2628

How to cite

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Boccardo, Lucio, Drábek, Pavel, and Kučera, Milan. "Landesman-Lazer conditions for strongly nonlinear boundary value problems." Commentationes Mathematicae Universitatis Carolinae 030.3 (1989): 411-427. <http://eudml.org/doc/17755>.

@article{Boccardo1989,
author = {Boccardo, Lucio, Drábek, Pavel, Kučera, Milan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Dirichlet; Neumann; eigenvalue; Landesman-Lazer type results; Borsuk Ulam theorem},
language = {eng},
number = {3},
pages = {411-427},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Landesman-Lazer conditions for strongly nonlinear boundary value problems},
url = {http://eudml.org/doc/17755},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Boccardo, Lucio
AU - Drábek, Pavel
AU - Kučera, Milan
TI - Landesman-Lazer conditions for strongly nonlinear boundary value problems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 3
SP - 411
EP - 427
LA - eng
KW - Dirichlet; Neumann; eigenvalue; Landesman-Lazer type results; Borsuk Ulam theorem
UR - http://eudml.org/doc/17755
ER -

References

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  1. Ahmad S., Nonselfadjoint resonance problems with unbounded perturbations, Nonlinear Analysis T.M.A. 10 (1986), 147-156. (1986) Zbl0599.35069MR0825213
  2. Ahmad S., A resonance problem in which the nonlinearity may grow linearly, Proc. Amer. Math. Society 93 (1984), 381-384. (1984) MR0759657
  3. Anane A., Simplicate et isolation de la premiere valeur propre du p-Laplacien avec poids, C.R. Acad. Sci. Paris 305 1 (1987), 725-728. (1987) MR0920052
  4. Boccardo L., Drábek P., Giachetti D., Kučera M., Generalization of Fredholm alternative for nonlinear differential operators, Nonlinear Analysis T.M.A. 10 (1986), 1083-1103. (1986) MR0857742
  5. Drábek P., On the resonance problem with nonlinearity which has arbitrary linear growth, J. Math. Analysis. Appl. 127 (1987), 435-442. (1987) MR0915069
  6. Fučík S., Nečas J., Souček J., Souček V., Spectral Analysis of Nonlinear Operators, Lecture Notes in Math. 346, Springer, Berlin, 1973. (1973) MR0467421
  7. Landesman E. M., Lazer A. C., Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech. 19 (1970), 609-623. (1970) Zbl0193.39203MR0267269
  8. Lions J. L., Qulques méthodes de résolution de problemes aux limites nonlinéaires, Dunod Gauthier - Villars, Paris, 1969. (1969) MR0259693
  9. Llibourty L., Traite de Glaceologie, Masson and Lie, Paris (I) 1964 et (II) 1965. (1964) 
  10. Péllisier M. C., Reynand L., Étude d'un modéle mathématique d'écoulement de glacier, C.R. Acad. Sci. Paris 279 (1979), 531-534. (1979) 
  11. Tolksdorf P., Regularity of a more general class of quasilinear elliptic equations, J. Differential Equations 51 (1984), 126-150. (1984) MR0727034
  12. Anane A., Gossez J. P., Strongly nonlinear elliptic problems near resonance: a variational approach, preprint. Zbl0715.35029MR1070239

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