A sign-changing solution for nonlinear problems involving the fractional Laplacian

Abstract

In this article, we establish the existence of a least energy sign-changing solution for nonlinear problems involving the fractional Laplacian. Our main tool is constrained minimization in a closed subset containing all the sign-changing solutions of the equation.

Keywords

• Sign-changing solutions
• fractional Laplacian
• minimization
• Nehari manifold