Existence of multiple solutions for nonlinear fractional Schrödinger-Poisson system involving new fractional operator

In this paper, we prove the existence of multiple solutions in the Bessel Potential space for a new class of nonlinear fractional Schrödinger-Poisson systems involving the distributional Riesz fractional derivative. To reach our goal, we use the symmetric mountain pass theorem under some suitable assumptions on nonlinearity f(x,u) and potential V(x).

کلیدواژه ها:

Fractional Schrödinger-Poisson system ، Symmetric mountain pass theorem ، Palais-Smale condition ، Distributional Riesz fractional derivative ، Bessel potential space