Singular sets and number of solutions of nonlinear boundary value problems

Pavol Quittner

Commentationes Mathematicae Universitatis Carolinae (1983)

  • Volume: 024, Issue: 2, page 371-385
  • ISSN: 0010-2628

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Quittner, Pavol. "Singular sets and number of solutions of nonlinear boundary value problems." Commentationes Mathematicae Universitatis Carolinae 024.2 (1983): 371-385. <http://eudml.org/doc/17257>.

@article{Quittner1983,
author = {Quittner, Pavol},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {singular sets; number of solutions; Dirichlet problem; Fredholm map of index zero; proper; coercive uniqueness; Leray-Schauder degree},
language = {eng},
number = {2},
pages = {371-385},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Singular sets and number of solutions of nonlinear boundary value problems},
url = {http://eudml.org/doc/17257},
volume = {024},
year = {1983},
}

TY - JOUR
AU - Quittner, Pavol
TI - Singular sets and number of solutions of nonlinear boundary value problems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1983
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 2
SP - 371
EP - 385
LA - eng
KW - singular sets; number of solutions; Dirichlet problem; Fredholm map of index zero; proper; coercive uniqueness; Leray-Schauder degree
UR - http://eudml.org/doc/17257
ER -

References

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  1. Fučík S., John O., Kufner A., Function spaces, Academia, Praha, 1977. (1977) MR0482102
  2. Geba K., The Leray Schauder degree and framed bordism, in La théorie des points fixes et ses applications à ľanalyse. Séminaire de Mathématiques Supérieures 1973, Presses de l'Université de Montreal 1975. (1973) 
  3. Nečas J., Les méthodes directes en théorie des équations elliptiques, Academia, Praha, 1967. (1967) 
  4. Nirenberg L., Lekciji po nelinejnomu funkcional'nomu analizu, Mir, Moskva, 1977. (1977) MR0488104
  5. Plastock R. A., Nonlinear Fredholm maps of index zero and their singularities, Proc. Amer. Math. Soc. 68 (1978), 317-322. (1978) Zbl0392.47035MR0464283
  6. Saut J. C., Temam R., Generic properties of nonlinear boundary value problems, Comm. in P. Diff. Equations 4 (1979), 293-319. (1979) Zbl0462.35016MR0522714
  7. Spanier E. H., Algebraic topology, McGraw-Hill, New York, 1966. (1966) Zbl0145.43303MR0210112
  8. Vajnberg M. M., Variacionnyje metody issledovanija nelinejnych operatorov, Gostechizdat, Moskva, 1956. (1956) 

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