Asymptotic behavior of positive solutions of the nonlinear differential equation t²u''= u{^n},1 < n

Abstract

In this article we study properties of positive solutions of the or- dinary dierential equation 2 u 00 = u n for 1 < n2 N, we obtain conditions for their blow-up in nite time, and some properties for global solutions. Equa- tions containing more general nonlinear terms are also considered.