Lower semicontinuity of multiple µ-quasiconvex integrals
Ilaria Fragalà (2010)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
Lower semicontinuity results are obtained for multiple integrals of the kind , where is a given positive measure on , and the vector-valued function belongs to the Sobolev space associated with . The proofs are essentially based on blow-up techniques, and a significant role is played therein by the concepts of tangent space and of tangent measures to . More precisely, for fully general , a notion of quasiconvexity for along the tangent bundle to , turns out to be necessary for...