Shape optimization for Dirichlet problems: Relaxed solutions and optimality conditions
Giuseppe Buttazzo, Gianni Dal Maso · Bulletin of the American Mathematical Society · 1990
We study a problem of shape optimal design for an elliptic equation with Dirichlet boundary condition.We introduce a relaxed formulation of the problem which always admits a solution, and we find necessary conditions for optimality both for the relaxed and the original problem.