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Remarks on nonlinear noncoercive problems with jumping nonlinearities

Pavel Drábek

Commentationes Mathematicae Universitatis Carolinae (1984)

  • Volume: 025, Issue: 3, page 373-399
  • ISSN: 0010-2628

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Drábek, Pavel. "Remarks on nonlinear noncoercive problems with jumping nonlinearities." Commentationes Mathematicae Universitatis Carolinae 025.3 (1984): 373-399. <http://eudml.org/doc/17332>.

@article{Drábek1984,
author = {Drábek, Pavel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {spectral theory of nonlinear operators; boundary value problems for; ordinary differential operators; open problems},
language = {eng},
number = {3},
pages = {373-399},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Remarks on nonlinear noncoercive problems with jumping nonlinearities},
url = {http://eudml.org/doc/17332},
volume = {025},
year = {1984},
}

TY - JOUR
AU - Drábek, Pavel
TI - Remarks on nonlinear noncoercive problems with jumping nonlinearities
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1984
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 025
IS - 3
SP - 373
EP - 399
LA - eng
KW - spectral theory of nonlinear operators; boundary value problems for; ordinary differential operators; open problems
UR - http://eudml.org/doc/17332
ER -

References

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  1. L. BOCCARDO P. DRÁBEK D. GIACHETTI M. KUČERA, Generalization of Fredholm alternative for nonlinear differential operators, to appear. MR0857742
  2. E. N. DANCER, Boundary value problems for weakly nonlinear ordinary differential equations, Bull. Austr. Math. Soc. 15 (1976), 321-328. (1976) Zbl0342.34007MR0430384
  3. E. N. DANCER, On the Dirichlet problem for weakly nonlinear elliptic partial differential equations, Proc. R. Soc. Edinb. 76A (1977), 283-300. (1977) MR0499709
  4. P. DRÁBEK, Ranges of a-homogeneous operators and their perturbations, Čas. pěst. mat. 105 (1980), 167-183. (1980) MR0573109
  5. P. DRÁBEK, On the Fredholm alternative for a-homogeneous operators, in: Proceedings of "Colloquium on Topological methods in BVP's for 0DE's", Trieste, May 1984. (1984) 
  6. P. DRÁBEK S. INVERNIZZI, On the periodic BVP for the forced Duffing equation with jumping nonlinearity, to appear. MR0849954
  7. S. FUČÍK, Note on the Fredholm Alternative for nonlinear operators, Comment. Math. Univ. Carolinae 12 (1971), 213-226. (1971) MR0288641
  8. S. FUČÍK J. NEČAS J. SOUČEK V. SOUČEK, Spectral analysis of nonlinear operators, Lecture Notes in Math. 346, Springer-Verlag, 1973. (1973) MR0467421
  9. S. FUČÍK, Boundary value problems with jumping nonlinearities, Čas. pěst. mat. 101 (1976), 69-87. (1976) MR0447688
  10. S. FUČÍK, Solvability and nonsolvability of weakly nonlinear equations, in: Proc. of Summer School "Theory of Nonlinear Operators", Akademie der Wissenschaften DDR 1977, 57-68. (1977) MR0477912
  11. S. FUČÍK, Solvability of nonlinear equations and boundary value problems, D. Riedel Publishing Company, Holland, 1980. (1980) MR0620638
  12. T. GALLOUËT O. KAVIAN, Résultats d 'Existence et de Non-Existence pour certains Problèmes Demilinéaires à l'infini, Ann. Fac. Sc. de Toulouse 1981. (1981) 
  13. T. GALLOUËT O. KAVIAN, Resonance for jumping nonlinearities, Comm. in Part. Diff. Equations 7 (3) (1982), 325-342. (1982) MR0646710
  14. P. KREJČÍ, On solvability of equations of the 4th order with jumping nonlinearities, Čas. pěst. mat. 108 (1983), 29-39. (1983) MR0694138
  15. A. KUFNER O. JOHN S. FUČÍK, Function Spaces, Academia, Prague, 1977. (1977) MR0482102
  16. A. C. LAZER P. J. McKENNA, On conjecture related to the number of solutions of nonlinear Dirichlet problem, Proc. R. Soc. of Edinb. 95A (1983), 275-283. (1983) MR0726879
  17. J. NEČAS, Sur l'alternative de Fredholm pour les opérateurs non-llneaires avec applications aux problemes aux limites, Ann. Scuola Norm. Sup. Pisa 23 (1969), 331-345. (1969) MR0267430
  18. S. I. POCHOŽAJEV, On the solvability of nonlinear equations involving odd operators, (Russian), Funk. Analiz i Priloženija 1 (1967), 66-73. (1967) MR0221344
  19. B. RUF, A nonlinear Fredholm alternative for second order ordinary differential equations, to appear. Zbl0605.34020MR0861733
  20. B. RUF, Remarks and generalization related to recent multiplicity result of A. Lazer and P. McKenna, to appear. 

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