Maximum principles and a priori estimates for a class of problems from nonlinear elasticity
Annales de l'I.H.P. Analyse non linéaire, Tome 8 (1991) no. 2, pp. 119-157. 
@article{AIHPC_1991__8_2_119_0,
     author = {Bauman, Patricia and Owen, Nicholas C. and Phillips, Daniel},
     title = {Maximum principles and a priori estimates for a class of problems from nonlinear elasticity},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {119--157},
     publisher = {Gauthier-Villars},
     volume = {8},
     number = {2},
     year = {1991},
     mrnumber = {1096601},
     zbl = {0733.35015},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPC_1991__8_2_119_0/}
}
TY  - JOUR
AU  - Bauman, Patricia
AU  - Owen, Nicholas C.
AU  - Phillips, Daniel
TI  - Maximum principles and a priori estimates for a class of problems from nonlinear elasticity
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 1991
SP  - 119
EP  - 157
VL  - 8
IS  - 2
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPC_1991__8_2_119_0/
LA  - en
ID  - AIHPC_1991__8_2_119_0
ER  - 
%0 Journal Article
%A Bauman, Patricia
%A Owen, Nicholas C.
%A Phillips, Daniel
%T Maximum principles and a priori estimates for a class of problems from nonlinear elasticity
%J Annales de l'I.H.P. Analyse non linéaire
%D 1991
%P 119-157
%V 8
%N 2
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPC_1991__8_2_119_0/
%G en
%F AIHPC_1991__8_2_119_0
Bauman, Patricia; Owen, Nicholas C.; Phillips, Daniel. Maximum principles and a priori estimates for a class of problems from nonlinear elasticity. Annales de l'I.H.P. Analyse non linéaire, Tome 8 (1991) no. 2, pp. 119-157. http://archive.numdam.org/item/AIHPC_1991__8_2_119_0/

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

[2] J.M. Ball, Minimizers and the Euler-Lagrange Equations, Proc. of I.S.I.M.M. Conf., Paris, Springer-Verlag, 1983. | MR

[3] J.M. Ball and F. Murat, W1,p-Quasiconvexity and Variational Problems for Multiple Integrals, J. Funct. Anal., vol. 58, 1984, pp. 225-253. | MR | Zbl

[4] L.C. Evans, Quasiconvexity and Partial Regularity in the Calculus of Variations, Arch Rational Mech. Anal., vol. 95, 1986, pp. 227-252. | MR | Zbl

L.C. Evans and R.F. Gariepy, Blow-up, Compactness and Partial Regularity in the Calculus of Variations, Indiana U. Math. J., vol. 36, 1987, pp. 361-371. | MR | Zbl

[6] M. Giaquinta, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, Princeton University Press, Princeton, 1983. | MR | Zbl

[7] M. Giaquinta, G. Modica and J. Souček, Cartesian Currents, Weak Diffeomorphisms and Existence Theorems in Nonlinear Elasticity, Arch. Rational Mech. Anal., vol. 106, 1989, pp. 97-159. | MR | Zbl

[8] D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, 2nd edition, Springer-Verlag, 1983. | MR | Zbl

[9] N.S. Trudinger, Local Estimates for Subsolutions and Supersolutions of General Second Order Elliptic Quasilinear Equations, Invent. Math., vol. 61, 1980, pp. 67-79. | MR | Zbl