Superlinear elliptic equations

A. Bahri

Séminaire Équations aux dérivées partielles (Polytechnique) (1986-1987)

  • page 1-27

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Bahri, A.. "Superlinear elliptic equations." Séminaire Équations aux dérivées partielles (Polytechnique) (1986-1987): 1-27. <http://eudml.org/doc/111920>.

@article{Bahri1986-1987,
author = {Bahri, A.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {level sets; Morse index; homotopy; homology; superlinear; existence; infinitely many solutions; perturbation; critical points; variational formulation; algebraic geometry; algebraic topology},
language = {eng},
pages = {1-27},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Superlinear elliptic equations},
url = {http://eudml.org/doc/111920},
year = {1986-1987},
}

TY - JOUR
AU - Bahri, A.
TI - Superlinear elliptic equations
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1986-1987
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 27
LA - eng
KW - level sets; Morse index; homotopy; homology; superlinear; existence; infinitely many solutions; perturbation; critical points; variational formulation; algebraic geometry; algebraic topology
UR - http://eudml.org/doc/111920
ER -

References

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  1. [1 H. Jacobowitz: Periodic solution of x+g(t,x) = 0 via the Poincaré-Birkhoff Theorem.Journal Diff. EquationsXX1976 p.37-52. Zbl0285.34028MR393673
  2. [2] P.H. Rabinowitz: Some aspects of non-linear eigenvalue problems. Rocky MountainMath. Journal1972. Zbl0255.47069
  3. [3] A. Ambrosetti, P.H. Rabinowitz: Dual variational methods in critical point theory and applications. J. Funct. Anal.14 (1973) 349. Zbl0273.49063MR370183
  4. [4] M.A. Krasnosels'kii: Topological methods in Non-linear Integral Equations. Mac MillanNew-York1964. Zbl0111.30303MR159197
  5. [5] A. Bahri, H. Berestycki: A parturbation method in critical point theory and applications. Trans. A.M.S.267, 1, 1981. Zbl0476.35030MR621969
  6. [6] A. Bahri, P.L. Lions: Morse index of some min-max critical points (to appear). Zbl0645.58013
  7. [7] A. Bahri: Topological results on a certain class of functionals and application. J. Funct. Anal.41 (1981) p.397-427. Zbl0499.35050MR619960
  8. [8] J. Milnor: Singular points of complex hypersurfaces. Princ. Univ. Press. 1968-161). Zbl0184.48405MR239612
  9. [9] G.E. Bredon: Introduction to compact transformation groupsAcademic Press1972. Pure and Applied Maths n°46. Zbl0246.57017MR413144
  10. [10] A. Bahri: Groupes d'homotopie des surfaces de niveau des fonctionnelles à gradient Fredholm Thèse d'EtatUniversité ParisVI1981. 
  11. [11] A. Bahri, H. Berestycki: Forced vibrations of superquadratic Hamiltonian systems. Acta Math.1523-4 (1984) p.143-197. Zbl0592.70027MR741053

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