Résultats d'existence et de non-existence pour certains problèmes demi-linéaires à l'infini

Thierry Gallouët; Otared Kavian

Annales de la Faculté des sciences de Toulouse : Mathématiques (1981)

  • Volume: 3, Issue: 3-4, page 201-246
  • ISSN: 0240-2963

How to cite

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Gallouët, Thierry, and Kavian, Otared. "Résultats d'existence et de non-existence pour certains problèmes demi-linéaires à l'infini." Annales de la Faculté des sciences de Toulouse : Mathématiques 3.3-4 (1981): 201-246. <http://eudml.org/doc/73123>.

@article{Gallouët1981,
author = {Gallouët, Thierry, Kavian, Otared},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {compact resolvent; existence; non-existence; semilinear equation; Ambrosetti-Prodi-theorem; resonance; semi-resonance},
language = {fre},
number = {3-4},
pages = {201-246},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Résultats d'existence et de non-existence pour certains problèmes demi-linéaires à l'infini},
url = {http://eudml.org/doc/73123},
volume = {3},
year = {1981},
}

TY - JOUR
AU - Gallouët, Thierry
AU - Kavian, Otared
TI - Résultats d'existence et de non-existence pour certains problèmes demi-linéaires à l'infini
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1981
PB - UNIVERSITE PAUL SABATIER
VL - 3
IS - 3-4
SP - 201
EP - 246
LA - fre
KW - compact resolvent; existence; non-existence; semilinear equation; Ambrosetti-Prodi-theorem; resonance; semi-resonance
UR - http://eudml.org/doc/73123
ER -

References

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  1. [1] H. Amann ; E. Zehnder. «Non trivial solutions for a class of non-resonance, problems & Applications to non-linear Differential Equations» (A paraître). Zbl0452.47077
  2. [2] A. Ambrosetti ; G. Prodi. «On the inversion of some differentiable mappings with singularities between Banach spaces». Ann. Mat. Pura i Appl.93 (1972), pp. 231-246. Zbl0288.35020MR320844
  3. [3] H. Berestycki. «Le nombre de solutions de certains problèmes semi-linaire elliptiques». (A paraître) Zbl0452.35038
  4. [4] H. Berestycki. «On some nonlinear Sturm-Liouville problems». J. of Diff. Equ. vol. 26, n° 3, (1977), pp. 375-390. Zbl0331.34020MR481230
  5. [5] H. Berestycki ; D.J. De Figueiredo. «Double resonance in semi-linear elliptic problems». Zbl0468.35043
  6. [6] M.S. Berger ; E. Podolack. «On the solutions of a nonlinear Dirichlet problem». Indiana Univ. Math. J.24, 9, (1975), pp. 837-846. Zbl0329.35026MR377274
  7. [7] H. Brezis ; L. Nirenberg. «Characterizations of the ranges of some non-linear operators & applications to boundary value problems». Ann. Sc. Nor. Sup., Pisa, IV, vol. V, n° 2 (1978), pp. 225-326. Zbl0386.47035
  8. [8] A. Castro ; A.C. Lazer. «Critical point theory & the number of solutions of a non-linear Dirichlet problem». Ann. di Mat. Pura ed Applicata, vol. 120, 1979, pp. 113-137. Zbl0426.35038
  9. [9] R.C. Courant ; D. Hilbert. «Methods of mathematical physics». Vol. I, New-York (1953). Zbl0051.28802
  10. [10] I. Ekeland ; R. Temam. «Analyse convexe et problèmes variationnels». Dunod, Gauthiers-Villars Ed., Paris1974. Zbl0281.49001MR463993
  11. [11] T. Gallouet ; O. Kavian. A paraitre dans Comm. in P.D.E. 
  12. [12] Kazdan ; Warner. «Remarks on some quasilinear elliptic equations». Comm. Pure Appl. Math., 28 (1975), pp. 567-597. Zbl0325.35038MR477445
  13. [13] E.M. Landesman ; A.C. Lazer. «Non-linear perturbations of linear elliptic boundary value problems at resonance». J. Math. Mech., vol. 19, (1970), pp. 609-623. Zbl0193.39203MR267269
  14. [14] E.M. Landesman ; A.C. Lazer. «Linear eigenvalues & a non-linear boundary value problem». Pacific J., vol. 33, (1970), pp. 311-328. Zbl0204.12002
  15. [15] J. Mawhin. «Periodic solutions of non-linear dispersive wave equations ; in constructive methods for boundary value problems & non-linear oscillation». Basel (1979). Zbl0419.35039
  16. [16] M. Wi Llem. «Periodic solutions of wave equation with jumping non-linearities». Preprint. 

Citations in EuDML Documents

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  1. Luigi Orsina, Solvability of linear and semilinear eigenvalue problems with L 1 data
  2. Jérôme Busca, Maria J. Esteban, Alexander Quaas, Nonlinear eigenvalues and bifurcation problems for Pucci's operators
  3. Flavio Donati, A note on the solvability of nonlinear elliptic problems with jumping nonlinearities
  4. Martin Schechter, A generalization of the saddle point method with applications
  5. Antonio Marino, Claudio Saccon, Some variational theorems of mixed type and elliptic problems with jumping nonlinearities
  6. Pavel Drábek, Remarks on nonlinear noncoercive problems with jumping nonlinearities
  7. Pavel Drábek, Landesman-Lazer type condition and nonlinearities with linear growth

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