Skip to main content
SpringerLink
Log in

Construction de modules de continuité dans le cas limite de soboleff et applications à la géometrie différentielle

  • Published:
Archive for Rational Mechanics and Analysis 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

Bibliographie

  1. Callender, E. D., Hölder continuity of N-dimensional quasiconformal mappings. Pacific J. Math. 10, 499–515 (1960)

    Google Scholar 

  2. Courant, R., Dirichlet's principle. New York: Interscience publishers 1950

    Google Scholar 

  3. Eells, J., & J. H. Sampson, Harmonic mappings of Riemannian manifolds. Am. J. of Math. 86, 109–160 (1964)

    Google Scholar 

  4. Gehring, F. W., The Caratheodory convergence theorem for quasi conformal mappings in space. Ann. Ac. Sci. Fenn. A, 336/II, 1–21 (1963)

    Google Scholar 

  5. Lelong-Ferrand, J., Représentation conforme et transformations à intégrale de Dirichlet bornée. Paris: Gauthier Villars 1955

    Google Scholar 

  6. Lelong-Ferrand, J., Transformations conformes et quasi-conformes des variétés riemanniennes compactes. Mémoires Ac. Sci. Belgique 39, 5–44 (1971)

    Google Scholar 

  7. Lelong-Ferrand, J., Invariants conformes globaux sur les variétés riemanniennes. J. of. Diff. Geometry (à paraître)

  8. Lelong-Ferrand, J., Etude d'une classe d'applications liées à des homomorphismes d'algèbres de fonctions et généralisant les quasi-conformes. Duke Math. J. (à paraître)

  9. Milnor, J., Somme de variétés différentiables et structures différentiables des sphères. Bull. Soc. Math. France 87, 439–444 (1959)

    Google Scholar 

  10. Mostow, G. D., Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms. Publ. Math. IHES Bures 34, 53–104 (1968)

    Google Scholar 

  11. Nirenberg, L., On non linear elliptic partial differential equations and Hölder continuity. Comm. Pure Applied Math. 6, 103–156 (1953)

    Google Scholar 

  12. Soboleff, S. L., Sur les équations aux dérivées partielles hyperboliques non linéaires. Roma: Edizioni Cremonese 1961

    Google Scholar 

  13. Stein, E. M., Singular integrals and differentiability properties of functions. Princeton University Press 1970

  14. Väīsälä, J., Two new characterizations for quasiconformality. Ann. Ac. Sci. Fenn. A, 362/I, 1–12 (1965)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculté de Science, 95 Blvd Jourdan, 75, Paris, France

    Jacqueline Lelong-Ferrand

Authors
  1. Jacqueline Lelong-Ferrand
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Mémoire présenté par J. L. Lions

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lelong-Ferrand, J. Construction de modules de continuité dans le cas limite de soboleff et applications à la géometrie différentielle. Arch. Rational Mech. Anal. 52, 297–311 (1973). https://doi.org/10.1007/BF00247464

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00247464

Search

Navigation