Skip to main content
SpringerLink
Log in

Teoremi di approssimazione per l'integrale multiplo del calcolo delle variazioni

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

We state some approximation theorems for the multiple integral of Calculus of Variations. They are formulated in a very general setting, which includes some classical results on the area of a surface, reached by C. Vinti.

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

Similar content being viewed by others

Bibliografia

  1. Bardaro C.—Candeloro D.,Sull'approssimazione dell'integrale alla Burkill-Cesari per funzionali sub-lineari su misure e applicazioni all'integrale multiplo del Calcolo delle Variazioni, Atti Sem. Mat. Fis. Università Modena,26 (1977), 339–362.

    MathSciNet  Google Scholar 

  2. Boni M.,Sull'approssimazione dell'integrale multiplo del Calcolo delle Variazioni Atti Sem. Mat. Fis. Università Modena,20 (1971), 187–211.

    MathSciNet  Google Scholar 

  3. Boni M.,Teoremi di approssimazione per funzionali sub-lineari su misure e applicazioni all'integrale del Calcolo delle Variazioni, Atti Sem. Mat. Fis. Università Modena,21 (1972), 237–263.

    MathSciNet  Google Scholar 

  4. Goffman C.—Serrin J.,Sub-linear functions of measures and Variational Integrals, Duke Math. J.31 (1964), 159–178.

    Article  MATH  MathSciNet  Google Scholar 

  5. Halmos P. R.,Measure Theory, Springer-Verlag, New York, 1974.

    MATH  Google Scholar 

  6. Halmos P. R.,The decomposition of measures, Duke Math. J.8 (1941), 386–392.

    Article  MATH  MathSciNet  Google Scholar 

  7. Krickeberg K.,Distributionen, Funktionen, beschrankter Variation, und Lebesguescher Inhalt nichtparametrischer Flachen, Ann. Mat. Pura ed App.,44 (1957), 105–133.

    Article  MATH  MathSciNet  Google Scholar 

  8. Radò T.,Lenght and area, Amer. Math. Soc. Colloquium Pubblications30 (1948).

  9. Serrin J.,On the definition and properties of certain Variational Integrals. Trans. Amer. Math. Soc.,101 (1961), 139–167.

    Article  MATH  MathSciNet  Google Scholar 

  10. Vinti C.,Espressioni che danno l'area di una superficie, Atti Sem. Mat. Fis. Università Modena,17 (1968), 289–350.

    MathSciNet  Google Scholar 

  11. Young L. C.,An expression connected with the area of a surface z=f(x,y), Duke Math. Journal,11 (1944), 43–57.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Istituto di Matematica, via Vanvitelli, 06100, Perugia

    Carlo Bardaro & Domenico Candeloro

Authors
  1. Carlo Bardaro
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Domenico Candeloro
    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

Bardaro, C., Candeloro, D. Teoremi di approssimazione per l'integrale multiplo del calcolo delle variazioni. Rend. Circ. Mat. Palermo 30, 63–82 (1981). https://doi.org/10.1007/BF02845128

Download citation

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02845128

Search

Navigation