On boundary value problems for elliptic systems of second-order equations in divergence form

Solvability conditions of various boundary value problems for elliptic systems of second-order equations in divergence form are adduced. The effect of domain shape on the solvability of nonclassical problems of rigid contact and normal load is investigated in details. Particular attention is paid to the systems of equations of the type of stationary equations of linear elasticity, as well as to the systems of piezoelectrics theory.