Skip to main content
SpringerLink
Log in

Second order information on Palais-Smale sequences in the mountain pass theorem

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Ambrosetti, A. and P.H. Rabinowitz:Dual variational methods in critical point theory and applications, J. Funct. Anal.14 (1973) p. 349–381

    Article  MATH  MathSciNet  Google Scholar 

  2. Borwein, J. and D. Preiss:A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions, Trans. A.M.S. 303 (1987) p. 517–527

    Article  MATH  MathSciNet  Google Scholar 

  3. Ekeland, I.:Nonconvex minimization problems, Bull. A.M.S. 1 (1979) p. 443–474

    Article  MATH  MathSciNet  Google Scholar 

  4. Ekeland, I.:Convexity Methods in Hamiltonian Mechanics, Springer-Verlag, Berlin, Heidelberg, New-York (1990).

    MATH  Google Scholar 

  5. Fang, G. and N. Ghoussoub:Morse-type Information On Palais-Smale Sequences, In preparation (1991)

  6. Ghoussoub, N. and D. Preiss:A general mountain pass principle for locating and classifying critical points, Ann. Inst. H. Poincaré-Analyse non-linéaire, Vol. 6, No5 (1989) p. 321–330

    MATH  MathSciNet  Google Scholar 

  7. Ghoussoub, N.:Location, multiplicity and Morse Indices of min-max critical points, J. Reine und angew. Math. 417 (1991) p. 27–76

    MATH  MathSciNet  Google Scholar 

  8. Lions, P.L.:Solutions of Hartree-Fock equations for Coulomb systems, Comm. Math. Physics. 109 (1987) p. 33–97

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, The University of British Columbia, V6T 1Y4, Vancouver, B.C., Canada

    G. Fang & N. Ghoussoub

Authors
  1. G. Fang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. Ghoussoub
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fang, G., Ghoussoub, N. Second order information on Palais-Smale sequences in the mountain pass theorem. Manuscripta Math 75, 81–95 (1992). https://doi.org/10.1007/BF02567073

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02567073

Keywords

Search

Navigation