Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 03, pp. 1-9.

Title: Positive solutions for singular nonlinear beam equation

Authors: Ruhao Song (Hohai Univ., China)
         Haishen Lu (Hohai Univ., China)

Abstract:
 In this paper, we study the existence of solutions for the
 singular p-Laplacian equation
 $$\displaylines{
 \big(|u''|^{p-2}u''\big)''-f(t,u)=0,\quad t\in (0,1) \cr
 u(0)=u(1)=0, \cr
 u''(0)=u''(1)=0,
 }$$
 where $f(t,u)$ is singular at $t=0,1$ and at $u=0$. We prove the
 existence of  at least one solution.
 
Submitted November 13, 2006. Published January 2, 2007.
Math Subject Classifications: 34B15, 34B16.
Key Words: p-laplacian; singular; fixed point theorem.