A note on the solvability of nonlinear elliptic problems with jumping nonlinearities

Flavio Donati

Commentationes Mathematicae Universitatis Carolinae (1985)

  • Volume: 026, Issue: 3, page 455-466
  • ISSN: 0010-2628

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Donati, Flavio. "A note on the solvability of nonlinear elliptic problems with jumping nonlinearities." Commentationes Mathematicae Universitatis Carolinae 026.3 (1985): 455-466. <http://eudml.org/doc/17398>.

@article{Donati1985,
author = {Donati, Flavio},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semilinear; multiplicity of solutions; jumping nonlinearities; nonlinear boundary value problems; simple eigenvalue; solvability},
language = {eng},
number = {3},
pages = {455-466},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on the solvability of nonlinear elliptic problems with jumping nonlinearities},
url = {http://eudml.org/doc/17398},
volume = {026},
year = {1985},
}

TY - JOUR
AU - Donati, Flavio
TI - A note on the solvability of nonlinear elliptic problems with jumping nonlinearities
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1985
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 026
IS - 3
SP - 455
EP - 466
LA - eng
KW - semilinear; multiplicity of solutions; jumping nonlinearities; nonlinear boundary value problems; simple eigenvalue; solvability
UR - http://eudml.org/doc/17398
ER -

References

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  1. ADIMURTHI, P. N. SRIKANTH, On exact number of solutions at infinity for Ambrosetti-Prodi class of problems, preprint. 
  2. A. AMBROSETTI, Elliptic equations with jumping nonlinearities, preprint. Zbl0589.35043MR0755462
  3. A. AMBROSETTI, G. PRODI, On the inversion of some differentiable mappings with singularities between Banach spaces, Ann. Mat. Pura Appl. 93 (1972), 231-246. (1972) Zbl0288.35020MR0320844
  4. V. CAPAGNA, F. DONATI, On the sign of the solutions to some semilinear Dirichlet problems, Proc. Roy. Soc. Edinburgh, to appear. MR0807547
  5. E. N. DANCER, On the Dirichlet problem for weakly non-linear elliptic partial differential equations, Proc. Roy. Soc. Edinburgh 76A (1977), 283-300. (1977) Zbl0351.35037MR0499709
  6. D. G. DE FIGUEIREDO, Lectures on boundary value problems of the Ambrosetti-Prodi type, Atas do 12" Seminário Brasileiro de Análise, Sào Paulo (1980), 230-292. (1980) 
  7. S. FUČÍK, Boundary value problems with jumping nonlinearities, Časopis Pěst. Mat. 101 (1976), 69-87. (1976) MR0447688
  8. S. FUČÍK, A. KUFNER, Nonlinear differential equations, Elsevier, Amsterdam, 1980. (1980) MR0558764
  9. T. GALLOUËT, O. KAVIAN, Résultats d 'existence et de non-existence pour certains problèmes demi-lineàires a l'infini, Ann. Fac. Sc. Toulouse 3 (1981), 201-246. (1981) Zbl0495.35001MR0658734
  10. T. KATO, Perturbation theory for linear operators, Springer-Verlag, New York, 1966. (1966) Zbl0148.12601MR0203473
  11. L. NIRENBERG, Topics in nonlinear functional analysis, Lecture Notes, Courant Institute, New York, 1974. (1974) Zbl0286.47037MR0488102
  12. E. PODOLAK, On the range of operator eolations with an asymptotically nonlinear terms, Indiana Univ. Math. J. 25 - 12 (1976), 1127-1137. (1976) MR0425698
  13. B. RUF, On nonlinear elliptic problems with jumping nonlinearities, Ann. Mat. Pura Appl. 128 (1981),133-151. (1981) Zbl0475.35046MR0640779
  14. S. SOLIMINI, Some remarks on the number of solutions of some nonlinear elliptic problems, preprint. Zbl0583.35044MR0794004

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