@article{AIHPC_2009__26_5_1897_0, author = {Shahrokhi-Dehkordi, M. S. and Taheri, A.}, title = {Generalised Twists, $\mathrm {SO}\left(n\right)$, and the $p$-Energy Over a Space of Measure Preserving Maps}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {26}, year = {2009}, pages = {1897-1924}, doi = {10.1016/j.anihpc.2009.03.003}, zbl = {1172.74021}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_2009__26_5_1897_0} }
Shahrokhi-Dehkordi, M. S.; Taheri, A. Generalised Twists, $\mathrm {SO}\left(n\right)$, and the $p$-Energy Over a Space of Measure Preserving Maps. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) pp. 1897-1924. doi : 10.1016/j.anihpc.2009.03.003. http://gdmltest.u-ga.fr/item/AIHPC_2009__26_5_1897_0/
[1] Convexity Conditions and Existence Theorems in Nonlinear Elasticity, Arch. Ration. Mech. Anal. 63 (1977) 337-403. | MR 475169 | Zbl 0368.73040
,[2] Discontinuous Equilibrium Solutions and Cavitation in Nonlinear Elasticity, Philos. Trans. Roy. Soc. Ser. A 306 (1982) 557-611. | MR 703623 | Zbl 0513.73020
,[3] Maximum Principles and a Priori Estimates for an Incompressible Material in Nonlinear Elasticity, Comm. Partial Differential Equations 17 (1992) 1185-1212. | MR 1179283 | Zbl 0777.35014
, , ,[4] Topology and Geometry, Graduate Texts in Mathematics, vol. 139, Springer, 1993. | MR 1224675 | Zbl 0791.55001
,[5] Optimization-Theory and Application, Applications of Mathematics, vol. 17, Springer, 1983. | MR 688142 | Zbl 0506.49001
,[6] On the Partial Regularity of Energy-Minimizing, Area Preserving Maps, Calc. Var. 63 (1999) 357-372. | MR 1731471 | Zbl 0954.49024
, ,[7] Perturbation Theory for Linear Operators, Graduate Texts in Mathematics, vol. 132, Springer-Verlag, 1980. | Zbl 0435.47001
,[8] Quasiconvexity and Uniqueness of Equilibrium Solutions in Nonlinear Elasticity, Arch. Ration. Mech. Anal. 86 (3) (1984) 233-249. | MR 751508 | Zbl 0589.73017
, ,[9] On Homotopy Conditions and the Existence of Multiple Equilibria in Finite Elasticity, Proc. Roy. Soc. Edinburgh Sect. A 127 (1997) 595-614. | MR 1453283 | Zbl 0878.73025
, ,[10] Generalised Twists, Stationary Loops and the Dirichlet Energy on a Space of Measure Preserving Maps, Calc. Var. Partial Differential Equations 35 (2) (2009) 191-213. | MR 2481822 | Zbl 1160.49040
, ,[11] M.S. Shahrokhi-Dehkordi, A. Taheri, in preparation.
[12] Uniqueness of Regular and Singular Equilibria for Spherical Symmetric Problems of Nonlinear Elasticity, Arch. Ration. Mech. Anal. 96 (3) (1986) 97-136. | MR 853969 | Zbl 0628.73018
,[13] Local Minimizers and Quasiconvexity - the Impact of Topology, Arch. Ration. Mech. Anal. 176 (3) (2005) 363-414. | MR 2185663 | Zbl 1073.49007
,[14] Minimizing the Dirichlet Energy on a Space of Measure Preserving Maps, Topol. Methods Nonlinear Anal. 33 (1) (2009) 179-204. | MR 2524492 | Zbl 1172.49005
,[15] A. Taheri, On a topological degree on the space of self-maps of annuli, submitted for publication.