Multiplicity of Normalized Solutions for the Fractional Schrödinger Equation with Potentials

We are concerned with the existence and multiplicity of normalized solutions to the fractional Schrödinger equation (Formula presented.), where (Formula presented.) is the fractional Laplacian, (Formula presented.), (Formula presented.), (Formula presented.) is an unknown parameter that appears as a Lagrange multiplier, (Formula presented.) are bounded and continuous, and f is (Formula presented.) -subcritical. Under some assumptions on the potential V, we show the existence of normalized solutions depends on the global maximum points of h when (Formula presented.) is small enough.