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.
@article{116984, author = {Nikolaos S. Papageorgiou}, title = {An existence theorem for a class of nonlinear elliptic optimal control problems}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {32}, year = {1991}, pages = {273-279}, zbl = {0752.49005}, mrnumber = {1137788}, language = {en}, url = {http://dml.mathdoc.fr/item/116984} }
Papageorgiou, Nikolaos S. An existence theorem for a class of nonlinear elliptic optimal control problems. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 273-279. http://gdmltest.u-ga.fr/item/116984/
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