# Nonzero positive solutions of nonlocal elliptic systems with functional BCs

## TL;DR

This paper investigates conditions under which non-negative solutions exist or do not exist for nonlocal elliptic systems with functional boundary conditions, using fixed point index theory.

## Contribution

It introduces new existence and non-existence results for nonlocal elliptic systems with functional boundary conditions, combining classical fixed point index theory with recent advances.

## Key findings

- Established criteria for existence of solutions.
- Identified conditions leading to non-existence.
- Applied fixed point index theory effectively.

## Abstract

We discuss the existence and non-existence of non-negative weak solutions for second order nonlocal elliptic systems subject to functional boundary conditions. Our approach is based on classical fixed point index theory combined with some recent results by the author.