Fractional Schrödinger-Poisson system with singularity and critical growth

Abstract

In this paper, we establish the existence and the uniqueness of a positive solution for a Schrödinger-Poisson system driven by the fractional Laplacian operator on a bounded domain in $\mathbb{R}^N$. The system exhibits nonlinearity involving a singularity term and critical growth. Our approach relies on a specialized minimization technique to rigorously demonstrate the desired results.