Valeriano Antunes de Oliveira
Published 2023-05-09Version 1
In this work, optimality conditions and classical results from duality theory are derived for continuous-time linear optimization problems with inequality constraints. The optimality conditions are given in the Karush-Kuhn-Tucker form. Weak and strong duality properties, as well as, the complementary slackness theorem are established. A result concerning the existence of solutions is also stated.
A duality theory for non-convex problems in the Calculus of Variations
Optimality Conditions for Constrained Minimax Optimization
Optimality conditions for the buckling of a clamped plate
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