Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 78, pp. 1-15.

Title: Boundary behavior of blow-up solutions to some weighted
       non-linear differential equations

Author: Ahmed Mohammed (Ball State Univ., IN, USA)
         
Abstract: 
 We investigate, under appropriate conditions on the weight $g$ and
 the non-linearity $f$,  the boundary behavior of solutions to
 $$
 \big(r^{\alpha}(u')^{p-1}\big)'=r^\alpha g(r)f(u),
 $$
 $0<r<R$, $u'(0)=0$, $u(r)\to\infty$ as $r\to R$. The results
 obtained here generalize, and in some cases improve known results.
   
Submitted March 21, 2002. Published September 19, 2002.
Math Subject Classifications: 49K20, 34B15, 34C11, 35J65.
Key Words: Boundary behavior; blow-up
solution; 
           Keller-Osserman condition.