Quasiconvexification in W 1,1 and optimal jump microstructure in BV relaxation

Abstract: "An integral representation for the relaxation in BV([omega];R[superscript p]) of the functional [formula] with respect to BV weak * convergence is obtained. The bulk term in the integral representation reduces to QW, the quasiconvexification of W, and it is shown exactly how optimal approximating sequences behave along S(u), for scalar valued u."