@article{ASNSP_2003_5_2_3_521_0, author = {Conti, Sergio and de Lellis, Camillo}, title = {Remarks on the theory of elasticity}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, publisher = {Scuola normale superiore}, volume = {Ser. 5, 2}, number = {3}, year = {2003}, pages = {521-549}, zbl = {1114.74004}, mrnumber = {2020859}, language = {en}, url = {http://www.numdam.org/item/ASNSP_2003_5_2_3_521_0} }
Conti, Sergio; de Lellis, Camillo. Remarks on the theory of elasticity. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 3, pp. 521-549. http://www.numdam.org/item/ASNSP_2003_5_2_3_521_0/
[1] New lower semicontinuity results for polyconvex integrals, Calc. Var. Partial Differential Equations 2 (1994), 329-371. | MR 1385074 | Zbl 0810.49014
- ,[2] “Functions of bounded variation and free discontinuity problems", Oxford Mathematical Monographs, Clarendon Press, Oxford, 2000. | MR 1857292 | Zbl 0957.49001
- - ,[3] Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal. 63 (1977), 337-403. | MR 475169 | Zbl 0368.73040
,[4] Discontinuous equilibrium solutions and cavitation in nonlinear elasticity, Philos. Trans. Roy. Soc. London 306 A (1982), 557-611. | MR 703623 | Zbl 0513.73020
,[5] Maximal smoothness of solutions to certain Euler-Lagrange equations from nonlinear elasticity, Proc. Roy. Soc. Edinburgh 119 A (1991), 241-263. | MR 1135972 | Zbl 0744.49008
- - ,[6] Degree theory and BMO: Part 1, compact manifolds without boudaries, Selecta Math. (N.S.) 1 (1995), 197-263. | MR 1354598 | Zbl 0852.58010
- ,[7] Injectivity and self-contact in nonlinear elasticity, Arch. Rational Mech. Anal. 97 (1987), 171-188. | MR 862546 | Zbl 0628.73043
- ,[8] On a partial differential equation involving the jacobian determinat, Ann. IHP Anal. Non Lin. 7 (1990), 1-26. | Numdam | MR 1046081 | Zbl 0707.35041
- ,[9] Some fine properties of currents and applications to distributional Jacobians, Proc. Roy. Soc. Edinburgh 132 A (2002), 815-842. | MR 1926918 | Zbl 1025.49029
,[10] “Geometric measure theory", Classics in Mathematics, Springer Verlag, Berlin, 1969. | MR 257325 | Zbl 0874.49001
,[11] “Degree theory in analysis and applications", Oxford Lecture Series in Mathematics and its Applications, 2, Clarendon Press, Oxford, 1995. | MR 1373430 | Zbl 0852.47030
- ,[12] “Cartesian currents in the calculus of variations”, Vol. 1, 2, Springer Verlag, Berlin, 1998. | MR 1645086 | Zbl 0914.49001
- - ,[13] Weak lower semicontinuity of polyconvex integrals, Proc. Roy. Soc. Edinburgh 123 A (1993), 681-691. | MR 1237608 | Zbl 0813.49017
,[14] Lower semicontinuity of quasiconvex integrals, Manuscripta Math. 85 (1994), 419-428. | MR 1305752 | Zbl 0862.49017
,[15] An existence theory for nonlinear elasticity that allows for cavitation, Arch. Rat. Mech. Anal. 131 (1995), 1-66. | MR 1346364 | Zbl 0836.73025
- ,[16] On the optimal location of singularities arising in variational problems of nonlinear elasticity, J. of Elast. 58 (2000), 191-224. | MR 1816651 | Zbl 0977.74005
- ,[17] Regularity properties of deformations with finite energy, Arch. Rat. Mech. Anal. 100 (1988), 105-127. | MR 913960 | Zbl 0659.73038
,