On Henig Regularization of Material Design Problems for Quasi-Linear p-Biharmonic Equation

作     者：Peter Kogut Günter Leugering Ralph Schiel Peter Kogut;Günter Leugering;Ralph Schiel

作者机构：Department of Differential Equations Dnipropetrovsk National University Dnipro Ukraine Department Mathematik Lehrstuhl II Universitä t Erlangen-Nürnberg Cauerstr Erlangen Germany 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2016年第7卷第14期

页      面：1547-1570页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：p-Biharmonic Problem Optimal Design Relaxation Henig Dilating Cone Existence Result 

摘      要：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.