@article{AIHPC_1992__9_4_433_0, author = {Lanza de Cristoforis, Massimo and Antman, Stuart S.}, title = {The large deformation of nonlinearly elastic shells in axisymmetric flows}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {433--464}, publisher = {Gauthier-Villars}, volume = {9}, number = {4}, year = {1992}, mrnumber = {1186685}, zbl = {0780.73053}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1992__9_4_433_0/} }
TY - JOUR AU - Lanza de Cristoforis, Massimo AU - Antman, Stuart S. TI - The large deformation of nonlinearly elastic shells in axisymmetric flows JO - Annales de l'I.H.P. Analyse non linéaire PY - 1992 SP - 433 EP - 464 VL - 9 IS - 4 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPC_1992__9_4_433_0/ LA - en ID - AIHPC_1992__9_4_433_0 ER -
%0 Journal Article %A Lanza de Cristoforis, Massimo %A Antman, Stuart S. %T The large deformation of nonlinearly elastic shells in axisymmetric flows %J Annales de l'I.H.P. Analyse non linéaire %D 1992 %P 433-464 %V 9 %N 4 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPC_1992__9_4_433_0/ %G en %F AIHPC_1992__9_4_433_0
Lanza de Cristoforis, Massimo; Antman, Stuart S. The large deformation of nonlinearly elastic shells in axisymmetric flows. Annales de l'I.H.P. Analyse non linéaire, Volume 9 (1992) no. 4, pp. 433-464. http://archive.numdam.org/item/AIHPC_1992__9_4_433_0/
[1] Sobolev Spaces, Academic Press, 1975. | MR | Zbl
,[2] Global and Local Behavior of Bifurcating Multidimensional Continua of Solutions for Multiparameter Nonlinear Eigenvalue Problems, Arch. Rational Mech. Anal., Vol. 76, 1981, pp. 339-354. | MR | Zbl
and ,[3] The Implicit Function Theorem and Global Methods of Cohomology, J. Funct. Anal., Vol. 21, 1976, pp. 330-339. | MR | Zbl
and ,[4] Nonlinear Problems of Geometrically Exact Shell Theories, in Analytic and Computational Models for Shells, A. K. NOOR, T.BELYTSCHKO and J. C. SIMO Eds., Am. Soc. Mech. Eng., 1989, pp. 109-131.
,[5] Nonlinear Problems of Elasticity, 1993 (to appear). | MR | Zbl
,[6] Bifurcation from simple eigenvalues, J. Funct. Anal., Vol. 8, 1971, pp. 321-340. | MR | Zbl
and ,[7] Elliptic Partial Differential Equations of Second Order, Springer-Verlag, 1977. | MR | Zbl
and ,[8] Potential Theory, Ungar, 1967.
,[9] Functional Analysis, 2nd. Ed., Pergamon, 1982. | MR | Zbl
and ,[10] Nonlinear Deformations of Structures in Perfect Flows, Univ. of Maryland, Doctoral dissertation, 1987.
,[11] A Note on Conformal Representation in Sobolev Spaces, Complex Variables, 1992 (to appear). | MR | Zbl
,[12] Cavitational Flow Past a Nonlinearly Elastic Panel, Indiana Univ. Math. J., Vol. 39, 1990, pp. 383-412. | MR | Zbl
and ,[13] The Large Deformation of Elastic Tubes in Two-Dimensional Flows, SIAM J. Math. Anal., Vol. 22, 1991, pp. 1193-1221. | MR | Zbl
and ,[14] Problemi ai limiti non omogenei III, Ann. Sc. Norm. Sup. Pisa, Vol. 15, 1962, pp. 40-101. | Numdam | MR
and ,[15] Sur la représentation conforme des domaines à frontières variables, Recueil Math. (= Mat. Sbornik), ser. 2, Vol. 1, 1936, pp. 863-884. | JFM
,[16] Les Méthodes Directes en Théorie des Équations Elliptiques, Masson, 1967. | MR
,[17] Univalent Functions, Vandenhoeck and Ruprecht, 1975. | MR | Zbl
,[18] Mathematical Principles of Classical Fluid Mechanics, in Handbuch der Physik, Vol. VIII/1, C. TRUESDELL Ed., Springer-Verlag, 1959, pp. 125-263. | MR
,[19] Qualitative Properties of Large Buckled States of Spherical Shells, Arch. Rational Mech. Anal., Vol. 93, 1986, pp. 357-384. | MR | Zbl
and ,[20] Partial Differential Equations of Mathematical Physics, Pergamon, 1964. | Zbl
,[21] Elliptic Differential Equations and Obstacle Problems, Plenum, 1987. | Zbl
,[22] Über das Randverhalten der Abbildungsfunktion bei konformer Abbildung, Math. Z., Vol. 35, 1932, pp. 321-456. | MR | Zbl
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