Singular Fractional Choquard Equation with a Critical Nonlinearity and a Radon measure

TL;DR

This paper investigates the existence of positive SOLA solutions for a singular fractional Choquard equation with critical nonlinearity and Hardy potential, expanding understanding of such complex nonlocal PDEs.

Contribution

It establishes the existence of positive SOLA solutions for a singular fractional Choquard problem with critical nonlinearity and Hardy potential, a novel result in this area.

Findings

Existence of positive SOLA solutions proven

Addresses singularity and critical nonlinearity challenges

Extends fractional PDE theory with Hardy potential

Abstract

This article concerns about the existence of a positive SOLA (Solutions Obtained as Limits of Approximations) for the following singular critical Choquard problem involving fractional power of Laplacian and a critical Hardy potential.