  We consider a nonlinear counterpart of a compactness lemma of J. Simon, which
arises naturally in the study of doubly nonlinear equations of
elliptic-parabolic type. Our work was motivated by previous results J. Simon,
recently sharpened by H. Amann, in the linear setting, and by a nonlinear
compactness argument of H.W. Alt and S. Luckhaus.
