Article citationsMore>>
Sprekels, J. and Tiba, D. (2005) Optimal Design of Mechanical Structures. In: Imanuvilov, O., Leugering, G., Triggiani, R., et al., Eds., Control Theory of Partial Differential Equations, Chapman& Hall/CRC, Boca Raton, 259-271.
has been cited by the following article:
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TITLE:
On Henig Regularization of Material Design Problems for Quasi-Linear p-Biharmonic Equation
AUTHORS:
Peter Kogut, Günter Leugering, Ralph Schiel
KEYWORDS:
p-Biharmonic Problem, Optimal Design, Relaxation, Henig Dilating Cone, Existence Result
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.14,
August
24,
2016
ABSTRACT: We study a Dirichlet optimal design problem
for a quasi-linear monotone p-biharmonic equation with control and state
constraints. We take the coefficient of the p-biharmonic operator as a design
variable in . In this article, we discuss the relaxation of such problem.