Author(s)

Peter Kogut¹, Günter Leugering², Ralph Schiel²

¹Department of Differential Equations, Dnipropetrovsk National University, Dnipro, Ukraine.
²Department Mathematik, Lehrstuhl II Universität Erlangen-Nürnberg Cauerstr, Erlangen, Germany.

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.

p-Biharmonic Problem, Optimal Design, Relaxation, Henig Dilating Cone, Existence Result

Kogut, P. , Leugering, G. and Schiel, R. (2016) On Henig Regularization of Material Design Problems for Quasi-Linear p-Biharmonic Equation. Applied Mathematics, 7, 1547-1570. doi: 10.4236/am.2016.714134.