Infinitely many solutions for a class of nonlinear fractional Schrödinger equations

In this paper, we consider the problem (-Δ )ˢu +a ( x )u = |u |q-2u in RN, where $ 0<s<1, $ 2<q<2ₛ* = 2N/N-2s, (-Δ )ˢ is the fractional Laplacian operator, and the potential function a is positive, finite and verifies suitable decay assumptions. We obtain the existence of infinitely many solutions by the variational method and the truncation technique.