Implications of rank one convexity
Annales de l'I.H.P. Analyse non linéaire, Tome 5 (1988) no. 2, pp. 99-118. 
@article{AIHPC_1988__5_2_99_0,
     author = {Sivaloganathan, J.},
     title = {Implications of rank one convexity},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {99--118},
     publisher = {Gauthier-Villars},
     volume = {5},
     number = {2},
     year = {1988},
     mrnumber = {954467},
     zbl = {0664.73006},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_1988__5_2_99_0/}
}
TY  - JOUR
AU  - Sivaloganathan, J.
TI  - Implications of rank one convexity
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 1988
SP  - 99
EP  - 118
VL  - 5
IS  - 2
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPC_1988__5_2_99_0/
LA  - en
ID  - AIHPC_1988__5_2_99_0
ER  - 
%0 Journal Article
%A Sivaloganathan, J.
%T Implications of rank one convexity
%J Annales de l'I.H.P. Analyse non linéaire
%D 1988
%P 99-118
%V 5
%N 2
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPC_1988__5_2_99_0/
%G en
%F AIHPC_1988__5_2_99_0
Sivaloganathan, J. Implications of rank one convexity. Annales de l'I.H.P. Analyse non linéaire, Tome 5 (1988) no. 2, pp. 99-118. http://www.numdam.org/item/AIHPC_1988__5_2_99_0/

[1] J.M. Ball, Constitutive Inequalities and Existence Theorems in Nonlinear Elastostatics, in Nonlinear Analysis and Mechanics: Heriot-Watt Symposium, Vol. 1, R. J. KNOPS Ed., 1977, pp. 187-241, Pitman, London. | MR | Zbl

[2] J.M. Ball, Convexity Conditions and Existence Theorems in Nonlinear Elasticity, Arch. Rat. Mech. Anal., Vol. 63, 1977, pp. 337-403. | MR | Zbl

[3] J.M. Ball, Does Rank-One Convexity Imply Quasiconvexity? Proceedings of Workshop on Metastability and Partial Differential Equations, Institute for Mathematics and its Applications, University of Minnesota, May 1985. | Zbl

[4] J.M. Ball, J.C. Currie and P.J. Olver, Null Lagrangians, Weak Continuity and Variational Problems of Arbitrary Order, J. Funct. Anal., 41, 1981, pp. 135-174. | MR | Zbl

[5] J.M. Ball and J.E. Marsden, Quasiconvexity at the Boundary, Positivity of the Second Variation and Elastic Stability, Arch. Rat. Mech. Anal., Vol. 86, 1984, pp. 251- 277. | MR | Zbl

[6] L. Cesari, Optimization-Theory and Applications, Springer-Verlag, New York, 1983. | MR | Zbl

[7] D.G.B. Edelen, The Null Set of the Euler-Lagrange Operator, Arch. Rat. Mech. Anal., 11, 1962, pp. 117-121. | MR | Zbl

[8] J.L. Ericksen, Nilpotent Energies in Liquid Crystal Theory, Arch. Rat. Mech. Anal., 10, 1962, pp. 189-196. | MR | Zbl

[9] R.J. Knops and C.A. Stuart, Quasiconvexity and Uniqueness of Equilibrium Solutions in Nonlinear Elasticity, Arch. Rat. Mech. Anal., Vol. 86, 1984, pp. 233- 249. | MR | Zbl

[10] A.W. Landers, Invariant Multiple Integrals in the Calculus of Variations, in Contributions to the Calculus of Variations, 1938-1941, pp. 175-208, Univ. Chicago Press, Chicago, 1942. | MR | Zbl

[11] C.B. Morrey, Multiple Integrals in the Calculus of Variations, Springer, Berlin, 1966. | Zbl

[12] P.J. Olver, Conservation Laws and Null Divergences, Math. Proc. Cambridge Phil. Soc., 94, 1983, pp. 529-540. | MR | Zbl

[13] P.J. Olver and J. Sivaloganathan, The Structure of Null Lagrangians, to appear in Nonlinearity. | MR | Zbl

[14] H. Rund, The Hamilton-Jacobi Theory in the Calculus of Variations, Van Nostrand, London, 1966. | MR | Zbl

[15] J. Sivaloganathan, A Field Theory Approach to Stability of Equilibria in Radial Elasticity, Math. Proc. Camb. Phil. Soc., 99, 1986, pp. 589-604. | MR | Zbl

[16] C. Truesdell and W. Noll, The Nonlinear Field Theories of Mechnics, in Handbuch der Physik, Vol. III/3, S. FLUGGE Ed., Springer, Berlin, 1965. | MR

[17] H. Weyl, Geodesic Fields, Ann. of Math., 37, 1935, pp. 607-629. | JFM | Zbl