Geodesic
An existence theorem for a class of nonlinear elliptic optimal control problems
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 273-279 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 35B37, 35J65, 49A29, 49J20, 49J40
Keywords: Sobolev embedding theorem; Novikov's theorem; Aumann's theorem; pseudomonotone operator; property ($M$); nonlinear elliptic equation 
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Papageorgiou, Nikolaos S. An existence theorem for a class of nonlinear  elliptic optimal control problems. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 273-279. http://geodesic.mathdoc.fr/item/CMUC_1991_32_2_a8/

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