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Optimal Control of Problems Governed by Obstacle Type Variational Inequalities：A Dual Regularization-Penalization Approach
Variational Inequalities Optimal Control Dual Methods Penalization Methods
2009/1/23
In this paper we investigate optimal control problems governed by variational inequalities. We give optimality conditions under classical assumptions using a dual regularized functional to interpret t...
On Smoothing of Parametric Minimax-Functions and Generalized Max-Functions via Regularization
parametric minimax problems semi-infinite optimization non-differentiable optimization convex parametric optimization duality theory regularization
2009/1/23
The paper deals with a smoothing procedure for parametric minimax-functions, arising from parameter dependend convex-concave games. In this framework generalized max-functions (i.e. maximum value func...
On a Non-Standard Convex Regularization and the Relaxation of Unbounded Integral Functionals of the Calculus of Variations
Non-Standard Convex Regularization Integral Functionals Calculus of Variations
2009/1/20
The analysis of the relationships between the functional $F^{(\infty)}(\Omega,\cdot) \colon u \in W^{1,\infty}(\Omega) \mapsto \inf$ $\{\liminf_h \int_\Omega f(\nabla u_h)dx : \{u_h\}$ $\subseteq W^{1...