Electron. J. Diff. Eqns., Vol. 2004(2004), No. 33, pp. 1-8.

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

Michael Karls & Ahmed Mohammed

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.

Show me the PDF file (215K), TEX file, and other files for this article.

Michael Karls
Department of Mathematical Sciences
Ball State University
Muncie, IN 47306, USA
email: mkarls@bsu.edu
Ahmed Mohammed
Department of Mathematical Sciences
Ball State University
Muncie, IN 47306, USA
email: amohammed@bsu.edu

Return to the EJDE web page