Bounded nonlinear perturbations of second order linear elliptic problems

Pavel Drábek

Commentationes Mathematicae Universitatis Carolinae (1981)

  • Volume: 022, Issue: 2, page 215-221
  • ISSN: 0010-2628

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Drábek, Pavel. "Bounded nonlinear perturbations of second order linear elliptic problems." Commentationes Mathematicae Universitatis Carolinae 022.2 (1981): 215-221. <http://eudml.org/doc/17102>.

@article{Drábek1981,
author = {Drábek, Pavel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Leray-Schauder degree; second solution; closed range; one-dimensional nullspace; nonlinear elliptic problem; first eigenvalue; existence of a solution; multiplicity results},
language = {eng},
number = {2},
pages = {215-221},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Bounded nonlinear perturbations of second order linear elliptic problems},
url = {http://eudml.org/doc/17102},
volume = {022},
year = {1981},
}

TY - JOUR
AU - Drábek, Pavel
TI - Bounded nonlinear perturbations of second order linear elliptic problems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1981
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 022
IS - 2
SP - 215
EP - 221
LA - eng
KW - Leray-Schauder degree; second solution; closed range; one-dimensional nullspace; nonlinear elliptic problem; first eigenvalue; existence of a solution; multiplicity results
UR - http://eudml.org/doc/17102
ER -

References

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  1. H. AMANN A. AMBROSETTI G. MANCINI, Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities, Math. Z. 158 (1978), 179-194. (1978) MR0481498
  2. L. BERS F. JOHN M. SCHECHTER, Partial Differential Equations, Interscience, New York, 1964. (1964) MR0163043
  3. D. G. de FIGUEIREDO, WEI-MING NI, Perturbations of second order linear elliptic problems by nonlinearities without Landesman-Lazer condition, Nonlinear Analysis, Vol. З, No. 5 (1979), 629-634. (1979) Zbl0429.35035MR0541873
  4. S. FUČÍK, Open problems in the solvability of nonlinear equations, Nichtlineare Funktionalanalysis und ihre Anwendungen, Oberwolfach, 1976. (1976) 
  5. S. FUČÍK P. HESS, Nonlinear perturbations of linear operators having nullspace with strong unique continuation property, Nonlinear Analysis, Vol. 3, No. 5 (1979), 271-277. (1979) MR0525977
  6. A. KUFNER O. JOHN S. FUČÍK, Function Spaces, Academia, Prague 1977. (1977) MR0482102

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