A Least Energy Sign-Changing Solution for Nonlocal Schrödinger Equations with Asymptotically Linear Nonlinearities

In this paper, we are concerned with the following nonlocal Schrödinger equations − ℒ K u+V( x )u=f( x,u ), x∈ ℝ N , where − ℒ K is an integro-differential operator of fractional Laplacian type and V is coercive at infinity. Combining the Nehari manifold and the quantitative deformation lemma, a least energy sign-changing solution was obtained, and the energy doubling phenomenon was also found.