Abstract
Several authors studying the theory of boundary value problems describing deformation, buckling, and steady state vibration of elastic systems have developed a variational approach based on functional analytic arguments. See Aubin [1]. Generally a system of equations of the classical boundary value type is reduced to a variational, or to an energy formulation. This is not a new technique. A rigorous existence and uniqueness theory can be developed in a formulation that provides a direct link with the engineering theory of finite element analysis. See Aubin [1], or Ciarlet [2].
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