Existence of sign-changing solutions for a class of p-Laplacian Kirchhoff-type equations

In this paper, we investigate the existence of least energy sign-changing solutions for the following p-Laplacian Kirchhoff type equation {-(a+b integral(N)(R)vertical bar del u vertical bar(p)dx) Delta(p)u+V(x)vertical bar u vertical bar p(-2)u = K(x)f(u) in R-N, u is an element of D-1,D-p (R-N), where a,b > 0 are constants, Delta(p)u = div (vertical bar del u vertical bar(p-2) del u), 1 < p < N, V(x), K(x) are positive continuous functions which vanish at infinity, the nonlinearity f is a function with a subcritical growth. Using a minimization argument and the Nehari manifold method, we prove the existence of a least energy sign-changing solution to this problem.