Multiple normalized solutions to critical Choquard equation involving fractional p-Laplacian in RN

The paper mainly investigates the existence of multiple normalized solutions for critical Choquard equation with involving fractional p-Laplacian in R-N : {-Delta)(s)(p)u + Z (kappa x)|u|p(-2)u=lambda|u|(p-2)u +[1/|x|(N-alpha)*|u|(q)] |u|(q-2)u+sigma|u|(p*s-2) u in R-N , integral(N)(R) |u|(p) dx = a(p), where kappa > 0 is a small parameter, lambda is an element of R is a Lagrange multiplier, Z:R-N ->[0,infinity)is a continuous function. Under the right conditions, together with the minimization techniques, truncated method, variational methods and the Lusternik-Schnirelmanncategory, we obtain the existence of multiple normalized solutions, which can be viewed as a partial extension of the previous results concerning the existence of normalized solutions to this problem in the case of s=1, p=2 and subcritical case.