Nikolaos S. Papageorgiou
An existence theorem for a class of nonlinear elliptic optimal control problems

Abstract:We establish the existence of an optimal ``state-control'' pair for an optimal control problem of Lagrange type, monitored by a nonlinear elliptic partial equation involving nonmonotone nonlinearities.

Keywords: Sobolev embedding theorem, Novikov's theorem, Aumann's theorem, pseudomonotone operator, property ($M$), nonlinear elliptic equation
AMS Subject Classification: 49A29

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