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hal-01727386v1  Journal articles
Philippe G. Ciarlet, Cristinel Mardare. W 2,p -estimates for surfaces in terms of their two fundamental forms
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2018, 356 (1), pp.85-91. ⟨10.1016/j.crma.2017.12.003⟩
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hal-01727395v1  Journal articles
Philippe G. Ciarlet, Cristinel Mardare. A nonlinear shell model of Koiter's type
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2018, 356 (2), pp.227-234. ⟨10.1016/j.crma.2017.12.005⟩
hal-01476298v1  Journal articles
Philippe G. Ciarlet, Maria Malin, Cristinel Mardare. New nonlinear estimates for surfaces in terms of their fundamental forms
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Elsevier, 2017, 355, pp.226-231. ⟨10.1016/j.crma.2017.01.002⟩
hal-01301441v1  Journal articles
Philippe G. Ciarlet, Yifeng Hou, Cristinel Mardare. On Korn’s inequalities on a surface
Analysis and Applications, World Scientific Publishing, 2016, 14, pp.415-447. ⟨10.1142/S0219530515500049⟩
hal-01077590v1  Journal articles
Philippe G. Ciarlet, Cristinel Mardare. On rigid and infinitesimal rigid displacements in three-dimensional elasticity
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2003, 13 (11), pp.1589-1598. ⟨10.1142/S0218202503003045⟩
hal-01077559v1  Journal articles
Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare. A new approach to the fundamental theorem of surface theory
Archive for Rational Mechanics and Analysis, Springer Verlag, 2008, 188 (3), pp.457-473. ⟨10.1007/s00205-007-0094-0⟩
hal-01077424v1  Journal articles
Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare. Intrinsic methods in Elasticity: A mathematical survey
Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2009, 23, pp.133-164. ⟨10.3934/dcds.2009.23.133⟩
hal-01803510v1  Journal articles
Maria Malin, Cristinel Mardare. Nonlinear Korn inequalities on a hypersurface
Chinese Annals of Mathematics - Series B, Springer Verlag, 2018, 39, pp.513 - 534. ⟨10.1007/s11401-018-0080-x⟩
hal-01832977v1  Journal articles
Philippe G. Ciarlet, Cristinel Mardare. An intrinsic formulation of the Kirchhoff–Love theory of linearly elastic plates
Analysis and Applications, World Scientific Publishing, 2018, 16 (04), pp.565 - 584. ⟨10.1142/S0219530517500105⟩
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hal-00139224v1  Journal articles
Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare, Ming Shen. Saint Venant compatibility equations on a surface - Application to linear intrinsic shell theory
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2008, 18, pp.165-194
hal-01077415v1  Journal articles
Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare. A generalization of the classical Cesàro–Volterra path integral formula
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2009, 347, pp.577-582. ⟨10.1016/j.crma.2009.03.007⟩
hal-00112615v1  Journal articles
Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare. Continuity in H1$-norms of surfaces in terms of the L1 norms of their fundamental forms
Comptes rendus hebdomadaires des séances de l'Académie des sciences, Gauthier-Villars, 2005, 341, pp.201-206. ⟨10.1016/j.crma.2005.06.031⟩
hal-01077274v1  Journal articles
Chérif Amrouche, Philippe G. Ciarlet, Cristinel Mardare. Remarks on a lemma by Jacques-Louis Lions
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2014, 352 (9), pp.691-695. ⟨10.1016/j.crma.2014.08.003⟩
hal-00018093v1  Journal articles
Cristinel Mardare, Philippe G. Ciarlet. Extension of a Riemannian metric with vanishing curvature
Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2004, 338, pp.391-396. ⟨10.1016/j.crma.2003.12.017⟩
hal-01077587v1  Journal articles
Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare. New compatibility conditions for the fundamental theorem of surface theory
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2007, 345, pp.273-278. ⟨10.1016/j.crma.2007.07.014⟩
hal-01803515v1  Journal articles
Maria Malin, Cristinel Mardare. Nonlinear estimates for hypersurfaces in terms of their fundamental forms
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2017, 355 (11), pp.1196 - 1200. ⟨10.1016/j.crma.2017.10.014⟩
hal-01077297v1  Journal articles
Philippe G. Ciarlet, Cristinel Mardare. A notion of polyconvex function on a surface suggested by nonlinear shell theory
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2011, Serie I, 349, pp.1207-1211. ⟨10.1016/j.crma.2011.10.002⟩
hal-00018091v1  Journal articles
Philippe G. Ciarlet, Cristinel Mardare. On the recovery of a manifold with boundary in Rn
Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2004, 338, pp.333-340. ⟨10.1016/j.crma.2003.12.018⟩
hal-01301189v1  Journal articles
Philippe G. Ciarlet, Cristinel Mardare. Nonlinear Korn inequalities in Rn, with or without boundary conditions
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2015, 353, pp.563-568. ⟨10.1016/j.crma.2015.03.004⟩
hal-01301195v1  Journal articles
Philippe G. Ciarlet, Yifeng Hou, Cristinel Mardare. New identity and Korn’s inequalities on a surface
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2015, 353, pp.369-374. ⟨10.1016/j.crma.2014.12.003⟩
hal-01077096v1  Journal articles
Philippe G. Ciarlet, Cristinel Mardare. Expression of Dirichlet boundary conditions in terms of the Cauchy–Green tensor field
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2013, Serie I, 351, pp.323-327. ⟨10.1016/j.crma.2013.05.001⟩