An integral type Brezis-Nirenberg problem on the Heisenberg group
Analysis of PDEs
2020-04-08 v1
Abstract
This paper is devoted to study a class of integral type Brezis-Nirenbreg problem on the Heisenberg group. It is a class of new nonlinear integral equations on the bounded domains of Heisenberg group and related to the CR Yamabe problems on the CR manifold. Based on the sharp Hardy-Littlewood-Sobolev inequalities, the nonexistence and existence results are obtained by Pohozaev type identity, variational method and blow-up analysis, respectively.
Keywords
Cite
@article{arxiv.1803.00323,
title = {An integral type Brezis-Nirenberg problem on the Heisenberg group},
author = {Yazhou Han},
journal= {arXiv preprint arXiv:1803.00323},
year = {2020}
}