AN EXTENSION OF PONTRYAGINS PRINCIPLE FOR STATE-CONSTRAINED OPTIMAL CONTROL OF SEMILINEAR ELLIPTIC EQUATIONS AND VARIATIONAL INEQUALITIES

摘要

This paper deals with state-constrained optimal control problems governed by semilinear elliptic equations or variational inequalities. By using Ekeland's principle, a minimum principle of Pontryagin's type under some stability conditions of the optimal cost with respect to the state constraints is derived. [References: 22]