An Optimization problem described by a fourth-order variational inequalities

Journal Article
Publication Work Type: 
PHD
Magazine \ Newspaper: 
J. of Advanced Mathematics and Application
Issue Number: 
1
Volume Number: 
4
Pages: 
6
Publication Abstract: 

In this paper we deal with an optimization problem which is described by a elliptic
variational inequality. We develop an existence theory for the minimum energy
problem. We treat the problem for the elliptic variational inequality of order 4 by
introducing the penalized differential equation and then taking limits of the equations
resulting from the penalized approximation.