Abstract
The paper deals with the uniqueness and stability of generalized solutions to the mixed boundary-value problem for the elasticity theory system in an unbounded domain, coinciding with a cone in a neighborhood of infinity. It is assumed that the boundary of the domain consists of two parts: the Dirichlet condition is prescribed on one of them, denoted by Γ1, and the Neumann condition is prescribed on the other. The paper contains sufficient conditions (in terms of metric properties of Γ1) for the validity of the Korn and Hardy inequalities, which imply the uniqueness and stability of the solution to the considered problem in appropriate function spaces. Bibliography: 8 titles.
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