Multiplicity results for a quasilinear equation with singular nonlinearity

For an open, bounded domain $\text{Om}$ in ${\mathbb{R}}^N$ which is strictly convex with $C^2$ boundary, we show that there exists a $\wedge >0$ such that the singular quasilinear problem \begin{eqnarray*} &-\delp u =\cfrac{\lambda}{u^{\del}}+u^q,,\mbox{in},,\Om\ &u=0,,\mbox{on},,\partial\Om;, ,,u>0,,\mbox{in},,\Om \end{eqnarray*} admits atleast two solution $u$ and $v$ in $W^{1,p}_{loc}(\Om)\cap L^{\infty}(\Om)$forany$\del>0$and$0<\lam<\land$provided$1<p<N$and$p-1<q<\frac{p(N-1)}{N-p}-1$\mathrm{.}Moreoverthesolutions$u$and$v$ are such that $u^{\text{alp}}$ and $v^{\text{alp}}$ are in $W_0^{1,p}(\text{Om})$ for some $\text{alp}>0$.