Existence of Multiple Positive Solutions for a p-Kirchhoff Problem with Singular Nonlinearity

In this paper, we study the following p-Kirchhoff-type elliptic problem: {-M(integral(Omega)vertical bar del u|(p)dx)Delta(p)u=lambda f(x)/u gamma+g(x)uq-1/|x|s in Omega, on partial derivative Omega, u = 0 where lambda and gamma are positive constants. Under some appropriate conditions on the singularity and the coefficients, the existence and multiplicity of positive solutions to this problem are obtained. Our approaches are based on the variational method and perturbation method.