Semicontinuity in L for polyconvex integrals

Emilio Acerbi; Giuseppe Buttazzo; Nicola Fusco

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1982)

  • Volume: 72, Issue: 1, page 25-28
  • ISSN: 0392-7881

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Acerbi, Emilio, Buttazzo, Giuseppe, and Fusco, Nicola. "Semicontinuity in $L^{\infty}$ for polyconvex integrals." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 72.1 (1982): 25-28. <http://eudml.org/doc/288835>.

@article{Acerbi1982,
author = {Acerbi, Emilio, Buttazzo, Giuseppe, Fusco, Nicola},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {1},
number = {1},
pages = {25-28},
publisher = {Accademia Nazionale dei Lincei},
title = {Semicontinuity in $L^\{\infty\}$ for polyconvex integrals},
url = {http://eudml.org/doc/288835},
volume = {72},
year = {1982},
}

TY - JOUR
AU - Acerbi, Emilio
AU - Buttazzo, Giuseppe
AU - Fusco, Nicola
TI - Semicontinuity in $L^{\infty}$ for polyconvex integrals
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1982/1//
PB - Accademia Nazionale dei Lincei
VL - 72
IS - 1
SP - 25
EP - 28
LA - eng
UR - http://eudml.org/doc/288835
ER -

References

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  1. Acerbi, E. and Fusco, N. - Semicontinuity problems in the calculus of variations, «Arch. Rational Mech. Anal.», to appear. MR751305DOI10.1007/BF00275731
  2. Ball, J.M. (1977) - Constitutive inequalities and existence theorems in nonlinear elastostatics, Nonlinear analysis and mechanics: Heriot-Watt Symposium (Edinburgh, 1976), Vol. I, pp. 187-241. «Res. Notes in Math.», No. 17, Pitman, London. 
  3. Ball, J.M. (1977) - Convexity conditions and existence theorems in nonlinear elasticity, «Arch. Rational Mech. Anal.», vol. 63, pp. 337-403. 
  4. Carbone, L. and Sbordone, C. (1979) - Some properties of Γ -limits of integral functionals, «Annali di Matem. Pura Appl. (IV)», vol. CXXII, pp. 1-60. Zbl0474.49016
  5. Dacorogna, B. (1982) - Minimal hypersurfaces problems in parametric form with nonconvex integrands, «Indiana Univ. Math. J.», vol. 31, pp. 531-552. Zbl0465.53038
  6. Fichera, G. (1964) - Semicontinuity of multiple integrals in ordinary form, «Arch. Rational Mech. Anal.», vol. 17, pp. 339-352. Zbl0128.10003
  7. Marcus, M. and Mizel, V. (1975) - Lower semi-continuity in parametric variational problems, the area formula and related results, «Amer. J. of Math.», vol. 99, pp. 579-600 Zbl0369.49008
  8. Meyers, N.G. (1965) - Quasi-convexity and lower semicontinuity of multiple variational integrals of any order, «Trans. Amer. Math. Soc.», vol. 119, pp. 125-149. 
  9. Morrey, C.B. (1952) - Quasi-convexity and the semicontinuity of multiple integrals, «Pacific J. Math.», vol. 2, pp. 25-53. Zbl0046.10803
  10. Morrey, C.B. (1966) - Multiple integrals in the calculus of variations, Springer, Berlin. Zbl0142.38701
  11. Serrin, J. (1961) - On the definition and properties of certain variational integrals, «Trans. Amer. Math. Soc.», vol. 101, pp. 139-167. Zbl0102.04601

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