Variational methods in nonlinear problems

L. Nirenberg

Séminaire Équations aux dérivées partielles (Polytechnique) (1980-1981)

  • page 1-5

How to cite


Nirenberg, L.. "Variational methods in nonlinear problems." Séminaire Équations aux dérivées partielles (Polytechnique) (1980-1981): 1-5. <>.

author = {Nirenberg, L.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {survey; Mountain Pass Lemma; nonlinear string equation with a monotonic nonlinearity},
language = {eng},
pages = {1-5},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Variational methods in nonlinear problems},
url = {},
year = {1980-1981},

AU - Nirenberg, L.
TI - Variational methods in nonlinear problems
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1980-1981
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 5
LA - eng
KW - survey; Mountain Pass Lemma; nonlinear string equation with a monotonic nonlinearity
UR -
ER -


  1. [1] A. Ambrosetti, P.H. Rabinowitz.Dual variational methods in critical point theory and applications. J. Funct. Anal.14 (1973), p. 349-381. Zbl0273.49063MR370183
  2. [2] A. Bahri, Quelques methodes topologiques pour des problèmes variationnels non linéaires. These de Doctorat d'Etat. Apr. 1981. 
  3. [3] A. Bahri, N. Berestycki.Points critiques de perturbations de fonctionelles paires et applications. C.R. Ac. Sci. Paris Ser. A291 (1980) p. 189-192. Zbl0454.35041MR594288
  4. [4] ________, Existence de solutions periodiques pour des systemes Hamiltoniens avec forcing périodiques. C. R. Acad. Sci. Paris, Ser. A (1981) 
  5. [5] A. Bahri, H. Brézis, Periodic solutions of a nonlinear wave equation. Proc. Roy. Soc. Edinburgh85A (1980) p. 313-320. Zbl0438.35044MR574025
  6. [6] H. Brézis, J.M. Coron, L. Nirenberg, Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. Comm. Pure Appl. Math.33 (1980) p. 667-684. Zbl0484.35057MR586417
  7. [7] J.M. Coron.Solutions periodiques nontriviales d'une equation des ondes. Comm. P.D.E., to appear. Zbl0491.35011
  8. [8] I. Ekeland, Periodic solutions of Hamiltonian equations and a theorem of P. Rabinowitz, J. Diffl. Eqs.34 (1979)p.523-534. Zbl0446.70019MR555325
  9. [9] W.M. Ni.Some minimax principles and their applications in nonlinear elliptic equations. J. Analyse. Math.37 (1980) p. 248-275. Zbl0462.58016MR583639
  10. [10] L. Nirenberg.Variational and topological methods in nonlinear problems. Bull. A.M.S.4 (1981), p. 267-374. Zbl0468.47040MR609039
  11. [11] P.H. Rabinowitz, Free vibrations for a semilinear wave equation, Comm. Pure Appl. Math.31 (1978) pp. 31-68. Zbl0341.35051MR470378

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