Infinitely many periodic solutions for a class of fractional Kirchhoff problems

Abstract

We prove the existence of infinitely many nontrivial weak periodic solutions for a class of fractional Kirchhoff problems driven by a relativistic Schrödinger operator with periodic boundary conditions and involving different types of nonlinearities.

References in corpus (3)

• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• A multiplicity result for a fractional Kirchhoff equation in ${\mathbb{R}}^N$ with a general nonlinearity
• Concentration phenomena for a fractional Schrödinger-Kirchhoff type equation