P. G. Ciarlet, Theory of Shells, vol.III, 2000.

M. Schatzman, A hyperbolic problem of second order with unilateral constraints: the vibrating string with a concave obstacle, J. Math. Anal. Appl, vol.230, issue.1, pp.138-191, 1980.
URL : https://hal.archives-ouvertes.fr/hal-01620859

J. U. Kim, A boundary thin obstacle problem for a wave equation, Comm. Partial Differential Equations, vol.14, issue.8-9, pp.1011-1026, 1989.
URL : https://hal.archives-ouvertes.fr/hal-01330421

I. Bock and J. Jaru?ek, On hyperbolic contact problems, Tatra Mt. Math. Publ, vol.43, pp.25-40, 2009.

I. Bock and J. Jaru?ek, Dynamic contact problem for viscoelastic von Kármán-Donnell shells, ZAMM Z. Angew. Math. Mech, vol.93, pp.733-744, 2013.

I. Bock and J. Jaru?ek, A vibrating thermoelastic plate in a contact with an obstacle, Tatra Mt. Math. Publ, vol.63, pp.39-52, 2015.

I. Bock, J. Jaru?ek, and M. ?ilhavý, On the solutions of a dynamic contact 240 problem for a thermoelastic von Kármán plate, Nonlinear Anal. Real World Appl, vol.32, pp.111-135, 2016.

M. Fundos, P. D. Panagiotopoulos, and V. Radulescu, Existence theorems of Hartmann-Stampacchia type for hemivariational inequalities and applications, J. Global Optimiz, vol.15, pp.41-54, 1999.

M. Bocea, P. D. Panagiotopoulos, and V. Radulescu, A perturbation result for a double eigenvalue hemivariational inequality and applications, J. Global Optimiz, vol.14, pp.137-156, 1999.

V. Radulescu, Perturbations of hemivariational inequalities with constraints, Revue Roum. Math. Pures Appl, vol.44, pp.455-461, 1999.

N. Papageorgiou, V. Radulescu, and D. Repovs, Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient, Applied Mathematics and Optimization, vol.78, pp.1-23, 2018.

N. Papageorgiou, V. Radulescu, and D. Repovs, Periodic solutions for implicit evolution equations, Evolution Equations and Control Theory, vol.8, pp.621-255, 2019.

V. Radulescu, R. Xu, W. Lian, N. Zhao, and Y. Yang, Global well-posedness for a class of fourth order nonlinear strongly damped wave equations, Advances in Calculus of Variations

D. Mugnai and P. Pucci, Maximum principles for inhomogeneous elliptic in-260 equalities on complete Riemannian manifolds, Adv. Nonlinear Stud, vol.9, pp.429-452, 2009.

P. G. Ciarlet, C. Mardare, and P. Piersanti, An obstacle problem for elliptic membrane shells, Math. Mech. Solids, vol.24, issue.5, pp.1503-1529, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01980338

P. G. Ciarlet, C. Mardare, and P. Piersanti, Un problème de confinement pour 265 une coque membranaire linéairementélastique de type elliptique

. Acad and . Sci, Sér. I, vol.356, issue.10, pp.1040-1051, 2018.

P. G. Ciarlet and P. Piersanti, An obstacle problem for Koiter's shells, Math. Mech. Solidsdoi

P. G. Ciarlet and P. Piersanti, , p.270

C. R. Koiter's-shell, . Acad, and . Sci, Sér. I, vol.357, pp.221-230, 2019.

P. G. Ciarlet, An Introduction to Differential Geometry with Applications to Elasticity, 2005.

G. Leoni, A First Course in Sobolev Spaces, Graduate Studies in Mathematics, vol.181, 2017.

P. G. Ciarlet, Three-Dimensional Elasticity, vol.I, 1988.
URL : https://hal.archives-ouvertes.fr/hal-01077590

P. Piersanti, An existence and uniqueness theorem for the dynamics of flexural shells
URL : https://hal.archives-ouvertes.fr/hal-02135023

K. O. Friedrichs, On the boundary-value problems of the theory of elasticity and Korn's inequality, Annals of Math, vol.48, pp.441-471, 1947.

J. Gobert, Une inégalité fondamentale de la théorie de l'élasticité, Bull. Soc. Roy. Sci. Liège, vol.31, pp.182-191, 1962.

I. Hlavá?ek and J. Ne?as, On inequalities of Korn's type. I. Boundary-value 285 problems for elliptic system of partial differential equations, Arch. Rational Mech. Anal, vol.36, pp.305-311, 1970.

I. Hlavá?ek and J. Ne?as, On inequalities of Korn's type. II. Applications to linear elasticity, Arch. Rational Mech. Anal, vol.36, pp.312-334, 1970.

G. Duvaut and J. L. Lions, Inequalities in Mechanics and Physics, p.290

. Berlin, , 1976.

J. Ne?as and I. Hlavá?ek, Mathematical theory of elastic and elasto-plastic bodies: an introduction, Studies in Applied Mechanics, vol.3, 1980.

R. Temam, Problèmes mathématiques en plasticité, vol.12, p.295

. Mathématiques-de-l'informatique, Mathematical Methods of Information Science, 1983.

J. A. Nitsche, On Korn's second inequality, RAIRO Anal. Numér, vol.15, issue.3, pp.237-248, 1981.

T. Miyoshi, Foundations of the numerical analysis of plasticity, vol.107, p.300

. North-holland, Mathematics Studies

. Kinokuniya-company-ltd and . Tokyo, lecture Notes in Numerical and Applied Analysis, vol.7, 1985.

L. Xiao, Asymptotic analysis of dynamic problems for linearly elastic shellsjustification of equations for dynamic flexural shells

, Ser. B, vol.22, issue.3, pp.13-22, 2001.

L. Xiao, Asymptotic analysis of dynamic problems for linearly elastic shellsjustification of equations for dynamic membrane shells, Asymptot. Anal, vol.17, issue.2, pp.121-134, 1998.

L. Xiao, Asymptotic analysis of dynamic problems for linearly elastic shells-310 justification of equations for dynamic Koiter shells, Chinese Ann. Math. Ser. B, vol.22, issue.3, pp.267-274, 2001.

J. L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, 1969.

T. H. Gronwall, Note on the derivatives with respect to a parameter of the 315 solutions of a system of differential equations, Ann. of Math, vol.20, issue.4, pp.292-296, 1919.

P. Hartman, Ordinary Differential Equations, 1982.

J. Simon, Compact sets in the space L p (0, T ; B), Ann. Mat. Pura Appl, vol.320, issue.4, pp.65-96, 1987.

S. Kyritsi-yiallourou and N. S. Papageorgiou, Handbook of Applied Analysis, 2009.

I. Zinger, Linear functionals on the space of continuous mappings of a compact Hausdorff space into a Banach space, Rev. Math. Pures Appl, vol.2, pp.301-315, 1957.

J. Diestel and J. J. Uhl, Vector measures, 1977.

N. Dinculeanu, Vector measures, p.330, 1967.

P. Raviart and J. Thomas, Introductionà l'Analyse Numérique desÉquations aux Dérivées Partielles, 1988.

P. G. Ciarlet, Linear and Nonlinear Functional Analysis with Applications, Society for Industrial and Applied Mathematics, 2013.

G. Stampacchia, Èquations elliptiques du second ordreà coefficients dis-335 continus, Séminaire de Mathématiques Supérieures, 1965.

H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, 2011.

L. C. Evans, Partial Differential Equations