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- W2971752694 abstract "We consider a quasi-variational inequality governed by a moving set. We employ the assumption that the movement of the set has a small Lipschitz constant. Under this requirement, we show that the quasi-variational inequality has a unique solution which depends Lipschitz-continuously on the source term. If the data of the problem is (directionally) differentiable, the solution map is directionally differentiable as well. We also study the optimal control of the quasi-variational inequality and provide necessary optimality conditions of strongly stationary type." @default.
- W2971752694 created "2019-09-12" @default.
- W2971752694 creator A5060511072 @default.
- W2971752694 date "2019-09-06" @default.
- W2971752694 modified "2023-10-01" @default.
- W2971752694 title "Elliptic quasi-variational inequalities under a smallness assumption: Uniqueness, differential stability and optimal control" @default.
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- W2971752694 hasPublicationYear "2019" @default.
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