Existence results for the fractional Q-curvature problem on three dimensional CR sphere

TL;DR

This paper investigates the fractional Q-curvature problem on a three-dimensional CR sphere, establishing the existence of solutions using critical points theory at infinity.

Contribution

It provides the first existence result for the fractional Q-curvature problem on the CR sphere employing critical points theory at infinity.

Findings

Existence of solutions established for the fractional Q-curvature problem.

Application of critical points theory at infinity to CR geometry.

Advancement in understanding fractional curvature problems on CR manifolds.

Abstract

In this paper the fractional Q-curvature problem on three dimensional CR sphere is considered. By using the critical points theory at infinity, an existence result is obtained.