International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 27, Pages 1725-1730
doi:10.1155/S0161171203106175

On a nonlinear compactness lemma in Lp(0,T;B)

Abstract

We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic-parabolic type. This paper was motivated by previous results of Simon (1987), recently sharpened by Amann (2000), in the linear setting, and by a nonlinear compactness argument of Alt and Luckhaus (1983).