Von Kármán equations. III. Solvability of the von Kármán equations with conditions for geometry of the boundary of the domain

summary:Solvability of the general boundary value problem for von Kármán system of nonlinear equations is studied. The problem is reduced to an operator equation. It is shown that the corresponding functional of energy is coercive and weakly lower semicontinuous. Then the functional of energy attains absolute minimum which is a variational solution of the problem