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Keywords:
Sobolev embedding theorem; Novikov's theorem; Aumann's theorem; pseudomonotone operator; property ($M$); nonlinear elliptic equation
Sobolev embedding theorem; Novikov's theorem; Aumann's theorem; pseudomonotone operator; property ($M$); nonlinear elliptic equation
Summary:
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.
References:
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