VARIATIONAL PROBLEMS AND STRATIFIED REARRANGEMENTS

The Maximization and minimization of certain weakly continues convex or non-convex functionals, relative to the class of rearrangements of a given function have been considered by Burton. This paper concerns with stratified rearrangements of a function. It is shown here that the results of variationals principles on class of rearrangements are valid for class of stratified rearrangements.