A boundary functional for optimal shape design problems Original Research Article

The minimization of a functional associated with Dirichlet boundary conditions is imposed to a well-posed problem, to lead to a domain optimization problem. It is shown that the functional is continuous with respect to an appropriate topology on the space of solutions View the MathML source of the well-posed problem. With this, the existence of a solution for the optimization problem reduces to showing that View the MathML source is compact.