Electronic Journal of Differential Equations,
Conference 03 (1999), pp. 75-90.

Title:  A singular nonlinear boundary-value problem

Authors:  Robert M. Houck (Wake Forest Univ., Winston-Salem, NC, USA)
   Stephen B. Robinson (Wake Forest Univ., Winston-Salem, NC, USA)
 
Abstract: 
In this paper we prove an existence and uniqueness theorem for the singular 
nonlinear boundary-value problem
$$\displaylines{ (|y'(t)|^py'(t))'+\frac{\phi}{y^{\lambda}(t)}=0 
\hbox{ in } (0,1),\cr y(0)=0=y(1), }$$
where $p\geq 0$, $\lambda$ is a positive constant, and $\phi$ is a 
positive function in $L^1_{{\rm loc}}(0,1)$. Moreover, we derive 
asymptotic estimates describing the behavior of the solution and 
its derivative at the boundary.

Published July 10, 2000.
Math Subject Classifications: 34B15.
Key Words: Singular nonlinear boundary value problems; 
 existence and uniqueness; asymptotic estimates.