Existence of multiple solutions to an elliptic problem with measure data

In this paper we prove the existence of multiple nontrivial solutions of the following equation. \begin{align*} \begin{split} -\Delta_{p}u & = \lambda |u|^{q-2}u+f(x,u)+\mu,,\mbox{in},,\Omega, u & = 0,, \mbox{on},, \partial\Omega; \end{split} \end{align*} where $\mathrm{\Omega }\subset {\mathbb{R}}^N$ is a smooth bounded domain with $N\ge 3$, $1 < q^{\prime} < q < p-1; ; \lambda,;$and$f$satisfiescertainconditions,$\mu>0$isaRadonmeasure,$q^{\prime}=\frac{q}{q-1}$istheconjugateof$q$.