Calculus of Variations and Geometric Measure Theory

G. Buttazzo - M. O. Rieger

Variational problems for functionals involving the value distribution

created by buttazzo on 14 Feb 2005



Inserted: 14 feb 2005

Year: 2005


We study variational problems involving the measure of level sets, or more precisely the push-forward of the Lebegue measure. This problem generalizes variational problems with finitely many (discrete) volume constraints. We obtain existence results for this general framework. Moreover, we show the surprising existence of asymmetric solutions to symmetric variational problems with this type of volume constraints.