Ground State Solution of Critical p-Biharmonic Equation Involving Hardy Potential

In this paper, we consider the following critical p-biharmonic equation involving Hardy potential D(p)(2)u - Delta(q)u - mu vertical bar u vertical bar(p-2)u/vertical bar x vertical bar(2p) = vertical bar u vertical bar(p)*(-2)u, x epsilon R-N, where 2 <= p < N/2, 0 < mu < mu(N, p) = ((p-1) N( N-2p)/p(2))(p), Delta(2)(p)u = Delta(vertical bar Delta u vertical bar(p-2) Delta u), q = p* = Np/N-p, and p* = Np/N-2p. The existence of ground state solution to above equation is established by using the Nehari manifold and some analysis techniques. Our result extends the existing results in the literature.