Estimates on the eigenvalues for some nonlinear ordinary differential operators

Raffaele Chiappinelli

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 3, page 441-446
  • ISSN: 0010-2628

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Chiappinelli, Raffaele. "Estimates on the eigenvalues for some nonlinear ordinary differential operators." Commentationes Mathematicae Universitatis Carolinae 030.3 (1989): 441-446. <http://eudml.org/doc/17757>.

@article{Chiappinelli1989,
author = {Chiappinelli, Raffaele},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {selfadjoint operators; Liusternik-Schnirelmann theory; Courant's variational principle; eigenvalues; nonlinear Sturm-Liouville operators},
language = {eng},
number = {3},
pages = {441-446},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Estimates on the eigenvalues for some nonlinear ordinary differential operators},
url = {http://eudml.org/doc/17757},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Chiappinelli, Raffaele
TI - Estimates on the eigenvalues for some nonlinear ordinary differential operators
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 3
SP - 441
EP - 446
LA - eng
KW - selfadjoint operators; Liusternik-Schnirelmann theory; Courant's variational principle; eigenvalues; nonlinear Sturm-Liouville operators
UR - http://eudml.org/doc/17757
ER -

References

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  1. Chiappinelli R., On spectral asymptotics and bifurcation for elliptic operators with odd superlinear term, to appear in Nonlinear Anal. TMA. Zbl0682.47032MR0999337
  2. Chiappinelli R., On the eigenvalues and the spectrum for a class of semilinear elliptic operators, Boll. Un. Mat. Ital. (6) 4B (1985), 867-882. (1985) Zbl0597.35094MR0831296
  3. Rabinowiti P. H., Some aspects of nonlinear eigenvalue problems, Rocky Mt. J. Math. 3 (1973), 161-202. (1973) MR0320850
  4. Rabinowiti P. H., Variational methods for nonlinear eigenvalue problems, in Eigenvalues of nonlinear problems, Cremonese, Roma, 1974, pp. 141-197. (1974) MR0464299
  5. Shibata T., Asymptotic properties of variational eigenvalues for semilinear elliptic operators, Boll. Un. Mat. Ital. (7) 2B (1988), 411-426. (1988) Zbl0689.35070MR0946079

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