On infinitely many solutions of a semilinear elliptic eigenvalue problem

Jörn Lembcke

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 4, page 727-731
  • ISSN: 0010-2628

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Lembcke, Jörn. "On infinitely many solutions of a semilinear elliptic eigenvalue problem." Commentationes Mathematicae Universitatis Carolinae 030.4 (1989): 727-731. <http://eudml.org/doc/17784>.

@article{Lembcke1989,
author = {Lembcke, Jörn},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {critical exponent; -functional; infinitely many solutions},
language = {eng},
number = {4},
pages = {727-731},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On infinitely many solutions of a semilinear elliptic eigenvalue problem},
url = {http://eudml.org/doc/17784},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Lembcke, Jörn
TI - On infinitely many solutions of a semilinear elliptic eigenvalue problem
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 4
SP - 727
EP - 731
LA - eng
KW - critical exponent; -functional; infinitely many solutions
UR - http://eudml.org/doc/17784
ER -

References

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  1. Ambrosetti A., Rabinowitz P. H., Dual variational methods in critical point theory and applications, J. Funct. Anal 14 (1973), 349-381. (1973) Zbl0273.49063MR0370183
  2. Bartolo P., Benci V., Fortunate D., Abstract critical point theorems and applications to some nonlinear problems with "strong" resonance at infinity, J. Nonl. Anal. Theory Meth. AppI. 7 (1983), 981-1012. (1983) MR0713209
  3. Benci V., Some critical point theorems and applications, Comm. Pure Appl. Math. 33 (1980), 147-172. (1980) Zbl0472.58009MR0562548
  4. de Candia, Fortunato D., Osservazioni su alcuni problemi ellittici non lineari, Rend. Ist. mat. Univ. Trieste 17 (1985), 30-46. (1985) MR0863554
  5. Rabinowitz P. H., Variational methods for nonlinear elliptic eigenvalue problems, Indiana Univ. Math. J. 23 (1974), 729-754. (1974) Zbl0278.35040MR0333442
  6. Triebel H., Interpolation Theory, Function spaces, Differential Operators, VEB Deutscher Verlag, Berlin 1978. (1978) Zbl0387.46033MR0500580

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