[Keyword: Existence] AND [All Categories: Optimization & Control] : Search

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[Keyword: Minibands] AND [All Categories: Nanotechnology & Nanoscience] (3)	28 Mar 2025	Run
[Keyword: Existence] AND [All Categories: Optimization & Control] (2)	28 Mar 2025	Run
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chapterNo Access
REGULARITY OF SOLUTIONS TO ONE-DIMENSIONAL AND MULTI-DIMENSIONAL PROBLEMS IN THE CALCULUS OF VARIATIONS
- F. H. CLARKE
Geometric Control and Nonsmooth Analysis01 Jul 2008
Preview Abstract
We review the long-standing issue of regularity of solutions to the basic problem in the calculus of variations, in both the one-dimensional and the multidimensional settings. It is shown how certain recent results fit in with the classical ones, in particular the theories of De Giorgi and Hilbert-Haar.
chapterNo Access
OPTIMAL CONTROL OF QUASILINEAR ELLIPTIC OBSTACLE PROBLEMS
- QIHONG CHEN and
- YUQUAN YE
Control Theory and Related Topics01 Sep 2007
Preview Abstract
In this paper we consider an optimal control problem for a quasilinear elliptic obstacle variational inequality in which the obstacle is taken as the control. The cost functional of this optimal control problem is of Lagrange type in which the p-th power of Laplacian of the control appears. This feature leads that it is hard to derive the optimality system for the underlying problem. In this paper, the existence and optimality system for the optimal control are established.

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