Skip to main content
SpringerLink
Log in

The ε-variational principle revisited

  • Conference paper
  • First Online:
Methods of Nonconvex Analysis

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 1446))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

Section 1

  1. Ekeland: Convexity methods in Hamiltonian mechanics, Springer, Ergebnisse, 1989.

    MATH  Google Scholar 

  2. ": "Non convex minimization problem", Bull. AMS 1 (1979), 443–474.

    Article  MathSciNet  MATH  Google Scholar 

  3. ": "Some lemmas about dynamical systems", Math. Scand. 52 (1983), 262–268.

    MathSciNet  MATH  Google Scholar 

Section 2

  1. Borwein-Preiss: "A smooth variational principle", Trans. AMS, 303 (1987), 517–527.

    Article  MATH  Google Scholar 

  2. Phelps: "Convex functions, monotone operators and differentiability, Springer, Lecture Notes, 1364.

    Google Scholar 

Section 3

  1. Marcellini-Sbordone: "On the existence of minima of multiple integrals in the calculus of variations", J. Math. Pure and Appl. 62 (1983), 1–9.

    MATH  Google Scholar 

  2. Ambrosetti-Rabinowitz: "Dual variational methods in critical points and applications", J. Funct. Anal 14 (1973) 349–381.

    Article  MATH  Google Scholar 

  3. Ghoussoub-Preiss: "A general min-max method in critical point theory", to appear Ann. IHP, Analyse Non Linéaire.

    Google Scholar 

  4. Pucci-Serrin: "The structure of the critical point set in the mountain pass theorem". Trans. AMS 91 (1987), 115–132.

    Article  MATH  Google Scholar 

  5. Hofer: "A geometrical description of the neighborhood of a critical point given by the mountain pass theorem". J. London Math. Soc. 31 (1985), 556–570.

    MathSciNet  Google Scholar 

Download references

Authors
  1. I. Ekeland
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Arrigo Cellina

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag

About this paper

Cite this paper

Ekeland, I. (1990). The ε-variational principle revisited. In: Cellina, A. (eds) Methods of Nonconvex Analysis. Lecture Notes in Mathematics, vol 1446. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084929

Download citation

  • DOI: https://doi.org/10.1007/BFb0084929

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53120-3

  • Online ISBN: 978-3-540-46715-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation