Abstract: Given a weakly convergent sequence of functions, its weak limit describes the limiting behavior of the averages of those functions. Young measures are parametrized probability measures that provide a way to capture the oscillatory behavior of weakly convergent sequences of functions as well as their average behavior. After spending some time discussing weak convergence in L^p spaces and introducing Young measures, I will present results that characterize those Young measures that are generated by sequences bounded in Morrey (or Sobolev-Morrey) spaces. An application of this result to variational problems allows one to use information about a minimizing Young measure to determine how much Morrey (or Sobolev-Morrey) regularity one can expect a minimizing sequence to possess.

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