On a nonlinear compactness lemma in \(L^{p}(0,T;B)\)
Summary: We consider a nonlinear counterpart of a compactness lemma of \textit{J. Simon} [Ann. Mat. Pura Appl. (4) 146, 65-96 (1987; Zbl 0629.46031)], which arises naturally in the study of doubly nonlinear equations of elliptic-parabolic type. This paper was motivated by previous results of \textit{J. Simon} (loc. cit.), recently sharpened by \textit{H. Amann} [Glas. Mat., Ser. III 35, 161-177 (2000; Zbl 0997.46029)] in the linear setting, and by a nonlinear compactness argument of \textit{H. W. Alt} and \textit{S. Luckhaus} [Math. Z. 183, 311-341 (1983; Zbl 0497.35049)].
scientific article