We study the following singular elliptic equation -div(vertical bar x vertical bar(-2a) del u) - mu u/vertical bar x vertical bar(2(1+a)) = vertical bar u vertical bar(p-2)u/vertical bar x vertical bar(bp) + lambda u/vertical bar x vertical bar(dD) with Dirichlet boundary condition, which is related to the well-known Caffarelli-Kohn-Nirenberg inequalities. By virtue of variational method and Nehari manifold, we obtain least energy sign-changing solutions in some ranges of the parameters mu and lambda. In particular, our result generalizes the exi...
