@article{ASNSP_1989_4_16_4_603_0,
author = {Acerbi, E. and Fusco, N.},
title = {Local regularity for minimizers of non convex integrals},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {603--636},
year = {1989},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 16},
number = {4},
mrnumber = {1052736},
zbl = {0829.49025},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1989_4_16_4_603_0/}
}
TY - JOUR AU - Acerbi, E. AU - Fusco, N. TI - Local regularity for minimizers of non convex integrals JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1989 SP - 603 EP - 636 VL - 16 IS - 4 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1989_4_16_4_603_0/ LA - en ID - ASNSP_1989_4_16_4_603_0 ER -
%0 Journal Article %A Acerbi, E. %A Fusco, N. %T Local regularity for minimizers of non convex integrals %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1989 %P 603-636 %V 16 %N 4 %I Scuola normale superiore %U https://www.numdam.org/item/ASNSP_1989_4_16_4_603_0/ %G en %F ASNSP_1989_4_16_4_603_0
Acerbi, E.; Fusco, N. Local regularity for minimizers of non convex integrals. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 16 (1989) no. 4, pp. 603-636. https://www.numdam.org/item/ASNSP_1989_4_16_4_603_0/
[1] - , Semicontinuity problems in the calculus of variations. Arch. Rational Mech. Anal. 86 (1984), 125-145. | Zbl | MR
[2] - , A regularity theorem for minimizers of quasiconvex integrals. Arch. Rational Mech. Anal. 99 (1987), 261-281. | Zbl | MR
[3] - , Convex functionals and partial regularity. Arch. Rational Mech. Anal. 102 (1988), 243-272. | Zbl | MR
[4] , Nonconvex minimization problems. Bull. Amer. Math. Soc. 1 (1979), 443-474. | Zbl | MR
[5] , Quasiconvexity and partial regularity in the calculus of variations. Arch. Rational Mech. Anal. 95 (1986), 227-252. | Zbl | MR
[6] - , Blow-up, compactness and partial regularity in the calculus of variations. Indiana Univ. Math. J. 36 (1987), 361-371. | Zbl | MR
[7] - , C1.α partial regularity of functions minimising quasiconvex integrals. Manuscripta Math. 54 (1985), 121-143. | Zbl
[8] , Multiple integrals in the calculus of variations and nonlinear elliptic systems. Ann. of Math. Studies 105, Princeton University Press, Princeton, 1983. | Zbl | MR
[9] , Quasiconvexity, growth conditions, and partial regularity. Partial differential equations and calculus of variations, 211-237, Lecture Notes in Math., 1357, Springer, Berlin-New York, 1988. | Zbl | MR
[10] - , On the regularity of minima of variational integrals. Acta Math. 148 (1982), 31-46. | Zbl | MR
[11] - , Partial regularity of minimizers of quasiconvex integrals. Ann. Inst. H. Poincaré, Analyse non linéaire 3 (1986), 185-208. | Numdam | Zbl | MR | EuDML
[12] , Existence and partial regularity in the calculus of variations. Ann. Mat. Pura Appl. 149 (1987), 311-328. | Zbl | MR
[13] - , On the existence of minima of multiple integrals in the calculus of variations. J. Math. Pures Appl. 62 (1983), 1-9. | Zbl | MR
[14] , Quasi-convexity and lower semicontinuity of multiple variational integrals of any order. Trans. Amer. Math. Soc. 119 (1965), 1-28. | Zbl | MR
[15] , Quasi-convexity and the semicontinuity of multiple integrals. Pacific J. Math. 2 (1952), 25-53. | Zbl | MR
[16] , Regularity for a class of nonlinear elliptic systems. Acta Math. 138 (1977), 219-240. | Zbl | MR






