On the radial solutions of a stationary Schr\"odinger system with a nonlinear random operator

TL;DR

This paper investigates the existence of nonnegative solutions to a nonlinear elliptic Schrödinger system with a random operator, using the Arzela–Ascoli theorem to establish key results.

Contribution

It introduces a novel approach to prove the existence of solutions for a Schrödinger system involving a nonlinear random operator.

Findings

Established existence of nonnegative solutions

Applied Arzela–Ascoli theorem in a new context

Contributed to the theory of nonlinear elliptic systems

Abstract

In this paper, we are concerned with the existence of nonnegative solutions for a nonlinear elliptic system. Our results are obtained by an application of the Arzela--Ascoli theorem.