On the Nehari manifold for a logarithmic fractional Schrödinger equation with possibly vanishing potentials

Abstract

We study a class of logarithmic fractional Schrödinger equations with possibly vanishing potentials. By using the fibrering maps and the Nehari manifold we obtain the existence of at least one nontrivial solution.

Keywords

• nehari manifold
• fibrering maps
• vanishing potential
• logarithmic nonlinearity