On the coercivity of elliptic systems in two dimensional spaces

Bulletin of the Australian Mathematical Society

Volumn 54, Issue 3, 1996, Pages 423-430

  Zhang, Kewei ^a,b  

^a MACQUARIE UNIVERSITY   (Australia)

^b HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041117249     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0004972700021833     Document Type: Article

References (11)

1. J.M. Ball, 'Convexity conditions and existence theorems in nonlinear elasticity', Arch. Rational Mech. Anal. 63 (1977), 337-403.
2. R. Coifman, P. Lions, Y. Meyer, S. Semmes, 'Compensated compactness and Hardy spaces', J. Math. Pures Appl. 72 (1993), 247-286.
3. 1 -unboundedness of solutions to strongly elliptic systems of PDEs in a laminated geometry', Proc. Roy. Soc. Edinburgh 15 (1987), 77-82.
4. M. Giaquinta, Introduction to regularity theory for nonlinear elliptic systems, Lectures in Mathematics, ETH Zurich (Birkhauser Verlag, Basel, 1993).
5. G. Geymonat, S. Müller and N. Triantafylldis, 'Homognization of nonlinear elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity', Arch. Rational Mech. Anal. 122 (1993), 231-290.
6. P. Jones, 'Extension theorems for BMO', Indiana Univ. Math. J. 29 (1980), 41-66.
7. P. Marcellini, 'Quasiconvex quadratic forms in two dimensions', Appl. Math. Optim. 11 (1984), 183-189.
8. D. Sarason, 'Functions of vanishing mean oscillation', Trans. Amer. Math. Soc. 207 (1975), 391-405.
9. F. Terpstra, 'Die Darstellung biquadratischer formen als summen von quadraten mit anwendung auf die variations rechnung', Math. Ann. 116 (1938), 166-180.
10. K.-W. Zhang, 'A counterexample in the theory of coerciveness for elliptic systems', J. Partial Differential Equationss 2 (1989), 79-82.
11. K.-W. Zhang, 'A further comment on the coerciveness theory for elliptic systems', J. Partial Differential Equations 2 (1989), 79-82.