In this paper we study the normalized solutions of the following critical growth Choquard equation with mixed local and non-local operators: equation* arrayrcl -Δu + (-Δ) ˢ u \;\; \| u \|₂ & = & τ, array equation* here N 3, τ>0, I_α is the Riesz potential of order α (0, N), 2^*_α=N+αN-2 is the critical exponent corresponding to the Hardy Littlewood Sobolev inequality, (-Δ) ˢ is the non-local fractional Laplacian operator with s (0, 1), μ>0 is a parameter and λ appears as Lagrange multiplier. We have shown the existence of atleast two distinct solutions in the presence of mass subcritical perturbation, μ|u|^p-2u with 2<p<2+4sN under some assumptions on τ.
Nidhi et al. (Wed,) studied this question.