A GEOMETRIC MAXIMUM PRINCIPLE FOR VARIATIONAL PROBLEMS IN SPACES OF VECTOR-VALUED FUNCTIONS OF BOUNDED VARIATION

摘要

Variational integrals with density having linear growth on spaces of vector-valued BV-functions are discussed; it is proved that Im (u) (∩) K for minimizers u, provided that the boundary data take their values in a closed convex set K; it is assumed in addition that the integrand satisfies natural structure conditions. Bibliography: 14 titles.