Integrability of blow-up solutions to some non-linear differential equations

We investigate the integrability of solutions to the boundary blow-up problem $$ r^{-lambda}(r^{lambda}(u')^{p-1})'=H(r,u),quad u'(0)geq 0,quad u(R)=infty $$ under some appropriate conditions on the non-linearity $H$.

Bibliographic Details
Published in:Electronic Journal of Differential Equations
Main Authors: Michael Karls, Ahmed Mohammed
Format: Article
Language:English
Published: Texas State University 2004-03-01
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/33/abstr.html
Description
Summary:We investigate the integrability of solutions to the boundary blow-up problem $$ r^{-lambda}(r^{lambda}(u')^{p-1})'=H(r,u),quad u'(0)geq 0,quad u(R)=infty $$ under some appropriate conditions on the non-linearity $H$.
ISSN:1072-6691