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1. CJM Online first
2. CJM 2006 (vol 58 pp. 449)
 Agarwal, Ravi P.; Cao, Daomin; Lü, Haishen; O'Regan, Donal

Existence and Multiplicity of Positive Solutions for Singular Semipositone $p$Laplacian Equations
Positive solutions are obtained for the boundary value problem
\[\begin{cases}
(  u' ^{p2}u')'
=\lambda f( t,u),\;t\in ( 0,1) ,p>1\\
u( 0) =u(1) =0.
\end{cases}
\]
Here $f(t,u) \geq M,$ ($M$ is a positive constant)
for $(t,u) \in [0\mathinner{,}1] \times (0,\infty )$.
We will show the existence of two positive
solutions by using degree theory together with the upperlower
solution method.
Keywords:one dimensional $p$Laplacian, positive solution, degree theory, upper and lower solution Category:34B15 
