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.