PageHeader : Funkcialaj Ekvacioj, 32 (1989) 23-55 Title : Upper and Lower Bounds for Liapunov Functionals AuthorInfo : By AuthorInfo : T. A. BURTON, A. CASAL2 and A. SOMOLINOS AuthorInfo : (Southern Illinois University, U. S. A., Universidad Complutense, Spain, AuthorInfo : and Mercy College, U. S. A.) section : 1. Introduction?A historical sketch section : 2. Introduction?Some detail section : 3. Applications of Sobolev's inequality section : 4. Some motivating examples section : 5. The general results and proofs section : References