## Nikolaos S. Papageorgiou

*An existence theorem for a class of nonlinear elliptic optimal control problems *

Comment.Math.Univ.Carolinae 32,2 (1991) 273-279. **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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