Holder regularity of weak solutions to nonlocal p-Laplacian type Schrodinger equations with A₁ᵖ-Muckenhoupt potentials

In this article, using the De Giorgi-Nash-Moser method, we obtain an interior Holder continuity of weak solutions to nonlocal \ (p\) -Laplacian type Schrodinger equations given by an integro-differential operator \ (LᵖK\) (\ (p >1\) ), LᵖK u+V|u|^p-2 u=0, u=g in Rⁿ. Where \ (V=V_+-V_-\) with \ ( (V_-, V_+) L¹₋₎₂ (Rⁿ) Lq₋₎₂ (Rⁿ) \) for \ (q >nps >1\) and \ (0nps >1\), \ (0< s< 1\) ). For more information see https: //ejde. math. txstate. edu/Volumes/2025/83/abstr. html