Infinitely many synchronized solutions for a nonlocal critical Hamiltonian elliptic system

TL;DR

This paper proves the existence of infinitely many synchronized solutions in a class of nonlocal critical Hamiltonian elliptic systems with Hartree-type interactions.

Contribution

It introduces new methods to demonstrate the existence of infinitely many solutions for a specific class of nonlocal elliptic systems.

Findings

Proved existence of infinitely many synchronized solutions.

Applied to Hamiltonian elliptic systems with Hartree-type interactions.

Extended understanding of solution multiplicity in nonlocal PDEs.

Abstract

We establish the existence of infinitely many synchronized solutions for a class of critical Hamiltonian elliptic systems with Hartree-type nonlocal interactions.