The regularity and minimal-growth solution conjecture for Fuchsian singularities

Let $\hat{\Omega}$ be the one-point compactification of the domain associated with Equation $Q_{p,A,V}(u)=0$, and let $\zeta\in\partial\hat{\Omega}$. Assume that $\zeta$ is a Fuchsian-type isolated singularity of the equation and that the equation admits a global positive solution.

Regularity and minimal-growth solution conjecture. Then:

1. $\zeta$ is a regular point of the equation.
2. The equation admits a unique global positive solution of minimal growth in a neighborhood of $\partial\hat{\Omega}\setminus\{\zeta\}$.

The paper presents this as an extension of a conjecture of Frass and Pinchover to the $(p,A)$-Laplacian setting with Fuchsian potentials in Morrey space, and aims to prove it under additional relatively mild assumptions. The supplied text does not establish the conjecture in full.