A construction of quasiconvex functions with linear growth at infinity
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 19 (1992) no. 3, pp. 313-326.
@article{ASNSP_1992_4_19_3_313_0,
     author = {Zhang, Kewei},
     title = {A construction of quasiconvex functions with linear growth at infinity},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {313--326},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 19},
     number = {3},
     year = {1992},
     mrnumber = {1205403},
     zbl = {0778.49015},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1992_4_19_3_313_0/}
}
TY  - JOUR
AU  - Zhang, Kewei
TI  - A construction of quasiconvex functions with linear growth at infinity
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1992
SP  - 313
EP  - 326
VL  - 19
IS  - 3
PB  - Scuola normale superiore
UR  - http://www.numdam.org/item/ASNSP_1992_4_19_3_313_0/
LA  - en
ID  - ASNSP_1992_4_19_3_313_0
ER  - 
%0 Journal Article
%A Zhang, Kewei
%T A construction of quasiconvex functions with linear growth at infinity
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1992
%P 313-326
%V 19
%N 3
%I Scuola normale superiore
%U http://www.numdam.org/item/ASNSP_1992_4_19_3_313_0/
%G en
%F ASNSP_1992_4_19_3_313_0
Zhang, Kewei. A construction of quasiconvex functions with linear growth at infinity. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 19 (1992) no. 3, pp. 313-326. http://www.numdam.org/item/ASNSP_1992_4_19_3_313_0/

[1] E. Acerbi - N. Fusco, Semicontinuity problems in the calculus of variations, Arch. Rational Mech. Anal., 86 (1984) 125-145. | MR | Zbl

[2] E.J. Balder, A general approach to lower semicontinuity and lower closure in optimal control theory, SIAM J. Control Optim., 22 (1984) 570-597. | MR | Zbl

[3] J.M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal., 63 (1977) 337-403. | MR | Zbl

[4] J.M. Ball, Constitutive inequalities and existence theorems in nonlinear elasticity, in "Nonlinear Analysis and Mechanics: Heriot-Watt Symposium". Vol. 1 (edited by R.J. Knops), Pitman, London, 1977. | MR | Zbl

[5] J.M. Ball, Sets of gradients with no rank-one connections, Preprint, 1988. | MR

[6] J.M. Ball, A version of the fundamental theorem of Young measures, to appear in Proceedings of Conference on "Partial Differential Equations and Continuum Models of Phase Transitions", Nice, 1988 (edited by D. Serre), Springer. | MR | Zbl

[7] J.M. Ball - J.C. Currie - P.J. Olver, Null Lagrangians, weak continuity, and variational problems of arbitrary order, J. Funct. Anal., 41 (1981) 135-174. | MR | Zbl

[8] J.M. Ball - R.D. James, Fine phase mixture as minimizers of energy, Arch. Rational Mech. Anal., 100 (1987) 13-52. | MR | Zbl

[9] J.M. Ball - Kewei Zhang, Lower semicontinuity of multiple integrals and the biting lemma, Proc. Roy. Soc. Edinburgh, 114A (1990) 367-379. | MR | Zbl

[10] H. Berliocchi - J.M. Lasry, Intégrandes normales et mesures paramétrées en calcul des variations, Bull. Soc. Math. France, 101 (1973) 129-184. | Numdam | MR | Zbl

[11] B. Dacorogna, Weak Continuity and Weak Lower Semicontinuity of Nonlinear Functionals, Lecture Notes in Math. Springer-Verlag, Berlin. Vol. 922 (1980). | MR | Zbl

[12] I. Diestel - J.J. Uhl Jr., Vector Measures, American Mathematical Society, Mathematics Surveys, No. 15, Providence, 1977. | MR | Zbl

[13] I. Ekeland - R. Temam, Convex Analysis and Variational Problems, North-Holland, 1976. | MR | Zbl

[14] Ionescu Tulcea, Topics in the Theory of Lifting, Springer, New York, 1969. | MR | Zbl

[15] D. Kinderlehrer, Remarks about equilibrium configurations of crystals, in "Material Instabilities in Continuum Mechanics " (ed. J.M. Ball), Oxford University Press, (1988) 217-241. | MR | Zbl

[16] R. Kohn, personal communication.

[17] C.B. Morrey, Multiple Integrals in the Calculus of Variations, Springer-Verlag, New York, 1966. | MR | Zbl

[18] Y.G. Reshetnyak, On the stability of conformal mappings in multidimensional spaces, Siberian Math. J., 8 (1967) 69-85. | Zbl

[19] Y.G. Reshetnyak, Stability theorems for mappings with bounded excursion, Siberian Math. J., 9 (1968) 499-512. | Zbl

[20] E.M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton (1970). | MR | Zbl

[21] V Šverák, Quasiconvex functions with subquadratic growth, Preprint, 1990. | MR

[22] L. Tartar, Compensated compactness and applications to partial differential equations, in "Nonlinear Analysis and Mechanics: Heriot-Watt Symposium", Vol. IV (edited by R.J. Knops), Pitman 1979. | MR | Zbl

[23] L. Tartar, The compensated compactness method applied to system of conservation laws, in "Systems of Nonlinear Partial Differential Equations", NATO ASI Series, Vol. C111 (edited by J.M. Ball), Reidel, 1982, 263-285. | MR | Zbl