@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}, pages = {1897--1924}, publisher = {Elsevier}, volume = {26}, number = {5}, year = {2009}, doi = {10.1016/j.anihpc.2009.03.003}, zbl = {1172.74021}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2009.03.003/} }
TY - JOUR AU - Shahrokhi-Dehkordi, M. S. AU - Taheri, A. TI - Generalised Twists, $\mathrm {SO}\left(n\right)$, and the $p$-Energy Over a Space of Measure Preserving Maps JO - Annales de l'I.H.P. Analyse non linéaire PY - 2009 SP - 1897 EP - 1924 VL - 26 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2009.03.003/ DO - 10.1016/j.anihpc.2009.03.003 LA - en ID - AIHPC_2009__26_5_1897_0 ER -
%0 Journal Article %A Shahrokhi-Dehkordi, M. S. %A Taheri, A. %T Generalised Twists, $\mathrm {SO}\left(n\right)$, and the $p$-Energy Over a Space of Measure Preserving Maps %J Annales de l'I.H.P. Analyse non linéaire %D 2009 %P 1897-1924 %V 26 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2009.03.003/ %R 10.1016/j.anihpc.2009.03.003 %G en %F 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) no. 5, pp. 1897-1924. doi : 10.1016/j.anihpc.2009.03.003. http://www.numdam.org/articles/10.1016/j.anihpc.2009.03.003/
[1] Convexity Conditions and Existence Theorems in Nonlinear Elasticity, Arch. Ration. Mech. Anal. 63 (1977) 337-403. | MR | Zbl
,[2] Discontinuous Equilibrium Solutions and Cavitation in Nonlinear Elasticity, Philos. Trans. Roy. Soc. Ser. A 306 (1982) 557-611. | MR | Zbl
,[3] Maximum Principles and a Priori Estimates for an Incompressible Material in Nonlinear Elasticity, Comm. Partial Differential Equations 17 (1992) 1185-1212. | MR | Zbl
, , ,[4] Topology and Geometry, Graduate Texts in Mathematics, vol. 139, Springer, 1993. | MR | Zbl
,[5] Optimization-Theory and Application, Applications of Mathematics, vol. 17, Springer, 1983. | MR | Zbl
,[6] On the Partial Regularity of Energy-Minimizing, Area Preserving Maps, Calc. Var. 63 (1999) 357-372. | MR | Zbl
, ,[7] Perturbation Theory for Linear Operators, Graduate Texts in Mathematics, vol. 132, Springer-Verlag, 1980. | Zbl
,[8] Quasiconvexity and Uniqueness of Equilibrium Solutions in Nonlinear Elasticity, Arch. Ration. Mech. Anal. 86 (3) (1984) 233-249. | MR | Zbl
, ,[9] On Homotopy Conditions and the Existence of Multiple Equilibria in Finite Elasticity, Proc. Roy. Soc. Edinburgh Sect. A 127 (1997) 595-614. | MR | Zbl
, ,[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 | Zbl
, ,[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 | Zbl
,[13] Local Minimizers and Quasiconvexity - the Impact of Topology, Arch. Ration. Mech. Anal. 176 (3) (2005) 363-414. | MR | Zbl
,[14] Minimizing the Dirichlet Energy on a Space of Measure Preserving Maps, Topol. Methods Nonlinear Anal. 33 (1) (2009) 179-204. | MR | Zbl
,[15] A. Taheri, On a topological degree on the space of self-maps of annuli, submitted for publication.
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