Explicit Characterization of Lp-Young Measures

The full, explicit description of Young measures attainable by bounded sequences from the Lebesgue space L p V; Rm. was known so far for the case psq` only. In the paper a suitable condition, characterizing such measures, is isolated also for the case 1Fp-q`. A generalization of the L p-Young measures, constructed recently by DiPerna and Majda, can be thus described also, but in special cases only.