# On strongly indefinite systems involving fractional elliptic operators

## TL;DR

This paper investigates the existence and regularity of solutions for strongly indefinite systems involving fractional elliptic operators on smooth bounded domains, contributing to the understanding of such complex fractional PDE systems.

## Contribution

It introduces new results on the existence and regularity of solutions for strongly indefinite fractional elliptic systems on bounded domains.

## Key findings

- Established conditions for existence of solutions.
- Proved regularity results for solutions.
- Extended analysis to fractional elliptic operators.

## Abstract

In this paper we discuss the existence and regularity of solutions of strongly indefinite systems involving fractional elliptic operators on a smooth bounded domain $\Omega$ in $\R^n$.