Classification of solutions to an $n^{\text{th}}$ order conformally invariant elliptic equation on ${\mathbb{R}}^n$ with nonlocal nonlinearity

Mathew Gluck, Janani Marasinghe

This paper concerns a conformally invariant elliptic problem on ${\mathbb{R}}^n$ driven by $(-\Delta {)}^{n/2}$ that has a nonlocal exponential nonlinearity of Choquard type. The problem unde…