Skip to main content
SpringerLink
Log in

Critical points at infinity in the variational calculus

  • Conference paper
  • First Online:
Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1324))

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
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

  1. A. Marino, G. Prodi, Metodi pertubattive nella teoria di Morse, B.U.M.I. 4, 11 (1975).

    MATH  Google Scholar 

  2. S. Smale, The Mathematics of time, Springer 1980.

    Google Scholar 

  3. C.C Conley, R.W. Easton, Isolated invariant sets and isolating blocks; (conf. on Qualitative theory of nonlinear differential and integral equations, Univ. of Wisconsin, Madison, 1978).

    Book  MATH  Google Scholar 

  4. Morris W. Hirsch, Differential topology, Springer 1976.

    Google Scholar 

  5. A. Bahri, Pseudo-orbits of contact forms, preprint 1986.

    Google Scholar 

  6. A. Bahri, Un problème variationnel sans compacité en géométrie de contact, Note aux Comptes Rendus de l'Académie des Sciences, Paris, Juillet 1984.

    Google Scholar 

  7. D. Jerison, J. Lee, A subelliptic, non-linear eigenvalue problem and scalar curvature on CR manifolds, Microlocal Analysis, Amer. Math. Soc. Comtemporary Math. Series 27 (1984), 57–63.

    MathSciNet  Google Scholar 

  8. S.S. Chern, R. Hamilton, On Riemannian metrics adapted to three-dimensional contact manifolds, MSRI, Berkeley, October 1984.

    MATH  Google Scholar 

  9. J. Sacks, K. Uhlenbeck, Ann. Math. 113 (1981), 1–24.

    Article  MathSciNet  Google Scholar 

  10. P.L. Lions, The concentration compactness principle in the calculus of variations, the limit case, Rev. Mat. Iberoamericana 1, 1 (1985), 145–201.

    Article  MathSciNet  MATH  Google Scholar 

  11. Y.T. Siu, S.T. Yau, Compact Kähler manifolds of positive bisectional curvature, Inv. Mathematicae 59 (1980), 189–204.

    Article  MathSciNet  MATH  Google Scholar 

  12. H. Brezis, J.M. Coron, Convergence of solutions of H-systems or how to blow bubbles, Arch. Rat. Mech. An. 89, 1 (1985), 21–56.

    Article  MathSciNet  MATH  Google Scholar 

  13. C.H. Taubes, Path connected Yang-Mills moduli spaces, J. Diff. Geom. 19 (1984), 337–392.

    MathSciNet  MATH  Google Scholar 

  14. A. Bahri, Critical points at infinity in some variational problems. to appear Pitman Research Notes in Mathematics, 1988.

    Google Scholar 

  15. A. Bahri, J.M. Coron, Sur une équation elliptique non linéaire avec l'exposant critique de Sobolev, Note aux C.R. Acad. Sc. Paris, série I, t. 301 (1985).

    Google Scholar 

  16. A. Bahri, J.M. Coron, On a non linear elliptic equation involving the critical Sobolev exponent. Communications Pure and Applied Mathematics.

    Google Scholar 

  17. A. Bahri, J.M. Coron, Vers une théorie des points critiques à l'infini, Séminaire Bony-Sjöstrand-Meyer 1984–85, exposé no VIII.

    Google Scholar 

  18. M. Struwe, A global existence result for elliptic boundary value problems involving limiting nonlinearities, à paraître.

    Google Scholar 

Download references

Authors
  1. A. Bahri
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Fernando Cardoso Djairo G. de Figueiredo Rafael Iório Orlando Lopes

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Bahri, A. (1988). Critical points at infinity in the variational calculus. In: Cardoso, F., de Figueiredo, D.G., Iório, R., Lopes, O. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100779

Download citation

  • DOI: https://doi.org/10.1007/BFb0100779

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50111-4

  • Online ISBN: 978-3-540-45928-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation