Skip to main content
SpringerLink
Log in

Differentiability of minima of non-differentiable functionals

  • Published:
Inventiones mathematicae Aims and scope

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. Campanato, S.: Proprietà di hölderianità di alcune classi di funzioni. Ann. S.N.S. Pisa17, 137–160 (1963)

    Google Scholar 

  2. Campanato, S.: Equazioni ellittiche del secondo ordine e spazi ℒ2,λ. Ann. Mat. Pura e Appl.69, 321–380 (1965)

    Google Scholar 

  3. De Giorgi, E.: Sulla differenziabilità e l'analiticità delle estremali degli integrali multipli regolari. Mem. Accad. Sci. Torino, Cl. Sci. Fis. Mat. Nat. (3)3, 25–43 (1957)

    Google Scholar 

  4. Giaquinta, M.: Multiple integrals in the Calculus of Variations and non linear elliptic systems, Vorlesungsreihe SFB 72 Bonn n.6 (1981)

  5. Giaquinta, M., Giusti, E.: Non linear elliptic systems with quadratic growth. Manuscripta math.24, 323–349 (1978)

    Google Scholar 

  6. Giaquinta, M., Giusti, E.: On the regularity of the minima of variational integrals. Acta Math.148, 31–46 (1982)

    Google Scholar 

  7. Giaquinta, M., Giusti, E.: Quasi-minima, to appear

  8. Giaquinta, M., Modica, G.: Almost-everywhere regularity results for solutions of nonlinear elliptic systems. Manuscripta math.28, 109–158 (1979)

    Google Scholar 

  9. Gilbarg, D., Trudinger, N.S.: Elliptic partial differential equations of second order. Berlin-Heidelberg-New York: Springer 1977

    Google Scholar 

  10. Giusti, E.: Equazioni ellittiche del secondo ordine. Quaderni Unione Mat. Italiana n.6 (1978); Ed. Pitagora, Bologna

    Google Scholar 

  11. Giusti, E.: Regolarità parziale delle soluzioni di sistemi ellittici quasi lineari di ordine arbitrario. Ann. Scuola Norm. Sup. Pisa23, 115–141 (1969)

    Google Scholar 

  12. Giusti, E., Miranda, M.: Sulla regolarità delle soluzioni deboli di una classe di sistemi ellittici quasilineari. Arch. Rat. Mech. Anal.31, 173–184 (1968)

    Google Scholar 

  13. Ivert, P.A.: Partial regularity of vector valued functions minimizing variational integrals, preprint

  14. Ladyzhenskaya, O.A., Uraltseva, N.N.: Linear and quasilinear elliptic equations. New York: Acad. Press 1968

    Google Scholar 

  15. Morrey, C.B., Jr.: Second order elliptic systems of differential equations. Ann. of Math. Studies n. 33, Princeton Univ. Press 1954, pp. 101–159

  16. Morrey, C.B., Jr.: Multiple integrals in the calculus of variations. Berlin-Heidelberg-New York: Springer 1966

    Google Scholar 

  17. Morrey, C.B., Jr.: Partial regularity results for non linear elliptic systems. J. Math. and Mech.17, 649–670 (1968)

    Google Scholar 

  18. Phillips, D.: A minimization problem and the regularity of solutions in the presence of a free boundary, pre-print

Download references

Author information

Authors and Affiliations

  1. Istituto Matematico, Università di Firenze, Víale Morgagni 67/A, I-50134, Firenze, Italia

    Mariano Giaquinta & Enrico Giusti

Authors
  1. Mariano Giaquinta
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Enrico Giusti
    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

Giaquinta, M., Giusti, E. Differentiability of minima of non-differentiable functionals. Invent Math 72, 285–298 (1983). https://doi.org/10.1007/BF01389324

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01389324

Search

Navigation