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An optimal control problem for an elliptic variational inequality. (English) Zbl 0517.49005

MSC:

49J40 Variational inequalities
35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
49J27 Existence theories for problems in abstract spaces
49J20 Existence theories for optimal control problems involving partial differential equations
47H05 Monotone operators and generalizations
46B10 Duality and reflexivity in normed linear and Banach spaces
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References:

[1] DUVAUT G., LIONS J. L.: Les inéquations en mécanique et en physique. Dunod Paris 1972. · Zbl 0298.73001
[2] LIONS J. L.: Contrôle optimal de systèmes gouvernes par des équations aux dérivées partielles. Dunod Paris 1968. · Zbl 0179.41801
[3] LIONS J. L.: Quelques méthodes de résolution des problemes aux limites non linéaires. Dunod Paris 1969. · Zbl 0189.40603
[4] NEČAS J.: Les méthodes directes en théorie des equations elliptiques. Academia Praha 1967. · Zbl 1225.35003
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