This paper is devoted to the following Kirchhoff type of problems:whereUnder some suitable assumptions on V(x), we will prove the multiplicity of solutions for the Kirchhoff-type equation by the variational method.

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In this paper, we study multiplicity of positive solutions for a class of semilinear elliptic equations with the nonlinearity containing singularity and Hardy-Sobolev exponents. Using variational methods, we establish the existence and multiplicity of positive solutions for the problem.