Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 33, pp. 1-8.

Title: Integrability of blow-up solutions to some non-linear 
       differential equations
       
Authors: Michael Karls (Ball State Univ., Muncie, IN, USA)
    Ahmed Mohammed (Ball State Univ., Muncie, IN, USA)
 

Abstract:   
  We investigate the integrability of solutions to the boundary
  blow-up problem
  $$
  r^{-\lambda}\bigl(r^{\lambda}(u')^{p-1}\bigr)'=H(r,u),\quad
   u'(0)\geq 0,\quad  u(R)=\infty
  $$
  under some appropriate conditions on the non-linearity $H$.
 
  
Submitted December 25, 2003. Published March 8, 2004.
Math Subject Classifications: 34C11, 34B15, 35J65.
Key Words: Blow-up solution; Keller-Osserman condition; integrability.