O. Chkadua, SOME BOUNDARY-CONTACT PROBLEMS OF THE ELASTICITY THEORY WITH MIXED BOUNDARY-CONDITIONS OUTSIDE THE CONTACT SURFACE, Mathematische Nachrichten, 188, 1997, pp. 23-48
n-Dimensional (n greater than or equal to 2) boundary-contact problems
of statics of the elasticity theory for homogeneous anisotropic media
are investigated when the contact of two bounded domains occurs from
the outside on some part of boundaries with mixed boundary conditions.
Theorems on the existence and uniqueness of solutions of boundary-con
tact problems in Besov and Bessel potential spaces are obtained. The s
moothness of solutions is studied in closed domains occupied by elasti
c media.