ON APPROXIMATION OF STATE-CONSTRAINED OPTIMAL CONTROL PROBLEM IN COEFFICIENTS FOR p-BIHARMONIC EQUATION

We study a Dirichlet-Navier optimal design problem for a quasi-linear mono- tone p-biharmonic equation with control and state constraints. The coecient of the p-biharmonic operator we take as a design variable in BV ( )\L1( ). In order to handle the inherent degeneracy of the p-Laplacian and the poi...

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Bibliographic Details
Main Authors: Peter I. Kogut, Olha P. Kupenko
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2018-01-01
Series:Journal of Optimization, Differential Equations and Their Applications
Subjects:
Online Access:https://model-dnu.dp.ua/index.php/SM/article/view/125