Some critical point theorems and applications to semilinear elliptic partial differential equations

Paul H. Rabinowitz

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1978)

  • Volume: 5, Issue: 1, page 215-223
  • ISSN: 0391-173X

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Rabinowitz, Paul H.. "Some critical point theorems and applications to semilinear elliptic partial differential equations." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 5.1 (1978): 215-223. <http://eudml.org/doc/83777>.

@article{Rabinowitz1978,
author = {Rabinowitz, Paul H.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1},
pages = {215-223},
publisher = {Scuola normale superiore},
title = {Some critical point theorems and applications to semilinear elliptic partial differential equations},
url = {http://eudml.org/doc/83777},
volume = {5},
year = {1978},
}

TY - JOUR
AU - Rabinowitz, Paul H.
TI - Some critical point theorems and applications to semilinear elliptic partial differential equations
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1978
PB - Scuola normale superiore
VL - 5
IS - 1
SP - 215
EP - 223
LA - eng
UR - http://eudml.org/doc/83777
ER -

References

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  1. [1] A. Ambrosetti - P.H. Rabinowitz, Dual variational methods in critical point theory and applications, J. Functional Anal., 14 (1973), pp. 349-381. Zbl0273.49063MR370183
  2. [2] P.H. Rabinowitz, Variational methods for nonlinear eigenvalue problems, Eigenvalues of Nonlinear Problems, Edizioni Cremonese, Rome (1974), pp. 141-195. MR464299
  3. [3] D.C. Clark, A variant of the Lusternik-Schnirelman theory, Ind. Univ. Math. J., 22 (1972), pp. 65-74. Zbl0228.58006MR296777
  4. [4] A. Dold, Lectures on Algebraic Topology, Springer-Verlag, Berlin, 1972. Zbl0234.55001MR415602
  5. [5] P.H. Rabinowitz, Free vibrations for a semitinear wave equation, to appear Comm. Pure Appl. Math. Zbl0341.35051MR470378
  6. [6] J.T. Schwartz, Nonlinear Functional Analysis, lecture notes, Courant Inst. of Math. Sc., New York Univ., 1965. MR433481
  7. [7] R.S. Palais, Critical point theory and the minimax principle, Proc. Sym. Pure Math., 15, A.M.S. Providence, R. I., (1970), pp. 185-212. Zbl0212.28902MR264712
  8. [8] P.H. Rabinowitz, Some aspects of nonlinear eigenvalue problems, Rocky Mtn. Math. J., 3 (1973), pp. 161-202. Zbl0255.47069MR320850
  9. [9] J. Leray - J. Schauder, Topologie et equations fonctionnelles, Ann. Sci. Ecole Norm. Sup., 3, 51 (1934), pp. 45-78. Zbl60.0322.02MR1509338JFM60.0322.02

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