Existence of minimizers and lower semicontinuity of integral functionals in the vectorial case

Silvia Bertirotti; Roberto Van der Putten

Rendiconti del Seminario Matematico della Università di Padova (1999)

  • Volume: 102, page 125-140
  • ISSN: 0041-8994

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Bertirotti, Silvia, and Van der Putten, Roberto. "Existence of minimizers and lower semicontinuity of integral functionals in the vectorial case." Rendiconti del Seminario Matematico della Università di Padova 102 (1999): 125-140. <http://eudml.org/doc/108497>.

@article{Bertirotti1999,
author = {Bertirotti, Silvia, Van der Putten, Roberto},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {integral functionals; Monge-Ampère boundary problem; lower semicontinuity},
language = {eng},
pages = {125-140},
publisher = {Seminario Matematico of the University of Padua},
title = {Existence of minimizers and lower semicontinuity of integral functionals in the vectorial case},
url = {http://eudml.org/doc/108497},
volume = {102},
year = {1999},
}

TY - JOUR
AU - Bertirotti, Silvia
AU - Van der Putten, Roberto
TI - Existence of minimizers and lower semicontinuity of integral functionals in the vectorial case
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1999
PB - Seminario Matematico of the University of Padua
VL - 102
SP - 125
EP - 140
LA - eng
KW - integral functionals; Monge-Ampère boundary problem; lower semicontinuity
UR - http://eudml.org/doc/108497
ER -

References

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  2. [B] J.M. Ball, Global invertibility of Sobolev functions and the inter-penetration of matter, Proc. Royal Soc. Edinburgh, 88A (1981), pp. 315-328. Zbl0478.46032MR616782
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  9. [DGBDM] E. De Giorgi - G. Buttazzo - G. Dal Maso, On the lower semicontinuity of certain integral functional, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8), 74 (1983), pp. 274-282. Zbl0554.49006MR758347
  10. [ET] I. Ekeland - R. Teman, Convex analysis and variational problems, North Holland, Amsterdam (1978). Zbl0322.90046
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  12. [G] W. Gangbo, An Elementary Proof of the Polar factorization of Vector-Valued Functions, Arch. Rational Mech. Anal., 128 (1994), pp. 381-399. Zbl0828.57021MR1308860
  13. [GT] D. Gilbarg - N. Trudinger, Elliptic Partial Differential Equations of Second Order (second edition), Springer-Verlag-New York (1983). Zbl0361.35003MR737190
  14. [RR] T. Radó - P.V. Reichelderfer, Continuous transformations in analysis, Springer-Verlag-New York (1955). MR79620
  15. [R] Yu G. Reshetnyak, Space mappings with bounded distortion, Transl. Math. Monographs, 73, Amer. Math. Soc., Providence, RI (1989). Zbl0667.30018MR994644
  16. [V] R. Van Der Putten, Continuità e semicontinuità inferiore di funzionali integrali con integrande policonvesse, Boll. Un. Mat. Ital. (7), 6-B (1994), pp. 557-582. Zbl0809.49012MR1294450
  17. [Z] S. Zagatti, On the Dirichlet Problem for Vectorial Hamilton-Jacoby Equations, Preprint SISSA 182/96/M (1997) Zbl0956.35140MR1636687

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