Sign-changing solutions for a class of fractional Schrödinger equations with vanishing potentials

Abstract

In this paper we consider a class of fractional Schrödinger equations with potentials vanishing at infinity. By using a minimization argument and a quantitative deformation Lemma, we prove the existence of a sign-changing solution.

References in corpus (4)

• Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian
• Higher nonlocal problems with bounded potential
• Concentration phenomenon for fractional nonlinear Schrödinger equations
• Zero mass case for a fractional Berestycki-Lions type problem

Cited by in corpus (2)

• Sign-changing solutions for a class of zero mass nonlocal Schrödinger equations
• Fractional elliptic problem in exterior domains with nonlocal Neumann boundary condition