A result on equiabsolute integrability

Cristina Marcelli; Anna Salvadori

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1990)

  • Volume: 1, Issue: 3, page 189-194
  • ISSN: 1120-6330

Abstract

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We prove the equiabsolute integrability of a class of gradients, for functions in W 1 , 1 . The present result appears as the localized version of well-known classical theorems.

How to cite

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Marcelli, Cristina, and Salvadori, Anna. "A result on equiabsolute integrability." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 1.3 (1990): 189-194. <http://eudml.org/doc/244182>.

@article{Marcelli1990,
abstract = {We prove the equiabsolute integrability of a class of gradients, for functions in \( W^\{1,1\} \). The present result appears as the localized version of well-known classical theorems.},
author = {Marcelli, Cristina, Salvadori, Anna},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Equiabsolute integrability; Growth conditions; Calculus of variations; growth conditions; calculus of variations; equiabsolute integrability},
language = {eng},
month = {9},
number = {3},
pages = {189-194},
publisher = {Accademia Nazionale dei Lincei},
title = {A result on equiabsolute integrability},
url = {http://eudml.org/doc/244182},
volume = {1},
year = {1990},
}

TY - JOUR
AU - Marcelli, Cristina
AU - Salvadori, Anna
TI - A result on equiabsolute integrability
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1990/9//
PB - Accademia Nazionale dei Lincei
VL - 1
IS - 3
SP - 189
EP - 194
AB - We prove the equiabsolute integrability of a class of gradients, for functions in \( W^{1,1} \). The present result appears as the localized version of well-known classical theorems.
LA - eng
KW - Equiabsolute integrability; Growth conditions; Calculus of variations; growth conditions; calculus of variations; equiabsolute integrability
UR - http://eudml.org/doc/244182
ER -

References

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  1. CESARI, L., Existence theorems for Lagrange problems in Sobolev spaces. Proceedings of Symposia, Amer. Math. Soc. , 18/1, 1970, 39-49. Zbl0231.49007MR275250
  2. CESARI, L., Optimization-Theory and Applications. Springer-Verlag, 1983. Zbl0506.49001MR688142
  3. MARCELLI, C. - SALVADORI, A., Remarks on growth conditions in calculus of variations. Atti Sem. Mat. Fis. Univ. Modena, to appear. Zbl0757.49003MR1179033
  4. E. J. Mc SHANE, , Integration. Princeton Univ. Press, 1947. Zbl0060.13010MR82536
  5. ROCKAFELLAR, R. T., Integrals which are convex functional, I and II. Pacific J. Math., 24, 1968, 525-539; 39, 1971, 439-469. Zbl0236.46031MR236689
  6. TONELLI, L., Fondamenti di Calcolo delle Variazioni. Zanichelli, 2 vol., 1921-23. JFM50.0340.03
  7. TONELLI, L., Sugli integrali del calcolo delle variazioni in forma ordinaria. Annali Scuola Normale Sup. Pisa, III, 1934, 401-450. Zbl0010.11903JFM60.0452.02

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