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On an Elliptic Optimal Control Problem with Pointwise Mixed Control-State Constraints

Meyer, Christian; Tröltzsch, Fredi

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

A nonlinear elliptic control problem with pointwise control-state constraints is considered. Existence of regular Lagrange multipliers, first-order necessary and and second-order sufficient optimality conditions are derived. The theory is verified by numerical examples.