We investigate the minimization problem for the variational integral
in Dirichlet classes of vector-valued functions  . It is well known that
the existence of minimizers can be established if the problem is formulated
in a generalized way in the space of functions of bounded variation. In
this talk we will discuss a uniqueness theorem for these generalized
minimizers. Actually, the theorem holds for a larger class of variational
integrals with linear growth and was obtained in collaboration with Lisa
Beck (SNS Pisa). |
