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

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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.
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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     author = {Papageorgiou, Nikolaos S.},
     title = {An existence theorem for a class of nonlinear  elliptic optimal control problems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {273--279},
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     number = {2},
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     zbl = {0752.49005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1991__32_2_a8/}
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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/