We study the fractional p-Kirchhoff equation (a+b) integral(RN) integral(RN) vertical bar u(x) - u(y)vertical bar(p)/vertical bar x - y vertical bar(N+ps) dx dy (-Delta)(p)(s)u-u vertical bar u vertical bar(p-2)u = vertical bar u vertical bar(q-2)u, x is an element of R-N, where (-Delta)(p)(s) is the fractional p-Laplacian operator, a and b are strictly positive real numbers, s is an element of (0, 1), 1 < p < N/s, and p < q < p(s)* - 2 with p(s)* - Np/N - p(s). By using the variational method, we prove the existence and uniqueness of global minimum or mountain pass type critical points on the...
