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Yayın Singularity of the solutions of some transmission problems in a dihedral(Maltepe Üniversitesi, 2009) Benseridi, H.; Dilmi, M.In this paper we prove the existence and uniqueness results for the weak solution of Lam´e system in a three -dimensional domain Q non homogeneous composed of two homogeneous bodies Q+ and Q? for various boundary value problems. Using [2] and [9], we show that the study of singularities of the solutions of problems at the neighborhood of edge A in the spatial case becomes a study of two problems: a problem of plan deformation and the other is of antiplan deformation.