POSITIVE SOLUTIONS FOR SINGULAR $M$-LAPLACIAN BOUNDARY VALUE PROBLEMS

Under some reasonable hypotheses, the singular $m$-Laplacian boundary value problems $$\left\{\!\!\!\! \begin{array}{l} \displaystyle {(E)(|u'(t)|^{m-2}u'(t))'+ f(t,u(t),u'(t))=0,\ \theta_1 < t <\theta_2(m\ge 2),}\\[4pt] \displaystyle {(BC)u'(\theta_1 )=u(\theta_2)=0,}\\ \end{array}\right. \eqno{(BVP)} $$ have a positive solutions in $C^2[\theta_1,\theta_2)\cap C[\theta_1,\theta_2]$.