3 papers
math.AP2023
Liouville-type results for the CR Yamabe equation in the Heisenberg group
Joshua Flynn, Jérôme Vétois
We obtain Liouville-type results for solutions to the CR Yamabe equation in , which extend a result obtained by Jerison and Lee for solutions in $L^{2+2/n}(\mathbb{H}…
math.DG2023
Conformally Covariant Boundary Operators and Sharp Higher Order Sobolev Trace Inequalities on Poincaré-Einstein Manifolds
Joshua Flynn, Guozhen Lu, Qiaohua Yang
In this paper we introduce conformally covariant boundary operators for Poincaré-Einstein manifolds satisfying a mild spectral assumption. Using these boundary operators we set up…
math.AP2023
Conformally Covariant Boundary Operators and Sharp Higher Order CR Sobolev Trace Inequalities on the Siegel Domain and Complex Ball
Joshua Flynn, Guozhen Lu, Qiaohua Yang
We first introduce an appropriate family of conformally covariant boundary operators associated to the Siegel domain with the Heisenberg group …