Symmetry and classification of solutions to an integral equation in the Heisenberg group ${\mathbb{H}}^n$

Jyotshana V. Prajapat, Anoop Skaria Varghese

In this paper we prove symmetry of nonnegative solutions of the integral equation \[ u (ζ) = \int\limits_{{\mathbb H}^n} |ζ^{-1} ξ|^{-(Q-α)} u(ξ)^{p} dξ\quad 1< p \leq \frac{…