On the method of searching a saddle point of modified Lagrangian functional for elasticity problem with friction

The semicoercive elasticity problem with the friction is considered. The scheme of duality with modified Lagrangian functional is used. A method of searching a saddle point of modified Lagrangian functional is constructed and proved with various step of shift according to dual variable.
The main results of the paper were reported on the section talk at the International conference «Toric Topology and Automorphic Functions» (September, 5–10th, 2011, Khabarovsk, Russia).