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
Access Full Article
topHow to cite
topGallouët, 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
top- [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] 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] H. Berestycki. «Le nombre de solutions de certains problèmes semi-linaire elliptiques». (A paraître) Zbl0452.35038
- [4] H. Berestycki. «On some nonlinear Sturm-Liouville problems». J. of Diff. Equ. vol. 26, n° 3, (1977), pp. 375-390. Zbl0331.34020MR481230
- [5] H. Berestycki ; D.J. De Figueiredo. «Double resonance in semi-linear elliptic problems». Zbl0468.35043
- [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] 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] 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] R.C. Courant ; D. Hilbert. «Methods of mathematical physics». Vol. I, New-York (1953). Zbl0051.28802
- [10] I. Ekeland ; R. Temam. «Analyse convexe et problèmes variationnels». Dunod, Gauthiers-Villars Ed., Paris1974. Zbl0281.49001MR463993
- [11] T. Gallouet ; O. Kavian. A paraitre dans Comm. in P.D.E.
- [12] Kazdan ; Warner. «Remarks on some quasilinear elliptic equations». Comm. Pure Appl. Math., 28 (1975), pp. 567-597. Zbl0325.35038MR477445
- [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] 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] 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] M. Wi Llem. «Periodic solutions of wave equation with jumping non-linearities». Preprint.
Citations in EuDML Documents
top- Luigi Orsina, Solvability of linear and semilinear eigenvalue problems with data
- Jérôme Busca, Maria J. Esteban, Alexander Quaas, Nonlinear eigenvalues and bifurcation problems for Pucci's operators
- Flavio Donati, A note on the solvability of nonlinear elliptic problems with jumping nonlinearities
- Martin Schechter, A generalization of the saddle point method with applications
- Antonio Marino, Claudio Saccon, Some variational theorems of mixed type and elliptic problems with jumping nonlinearities
- Pavel Drábek, Remarks on nonlinear noncoercive problems with jumping nonlinearities
- Pavel Drábek, Landesman-Lazer type condition and nonlinearities with linear growth
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.