A Pohozaev identity and critical exponents of some complex Hessian equations
Analysis of PDEs
2013-09-24 v1 Complex Variables
Abstract
In this note, we prove some non-existence results for Dirichlet problems of complex Hessian equations. The non-existence results are proved using the Pohozaev method. We also prove existence results for radially symmetric solutions. The main difference of the complex case with the real case is that we don't know if a priori radially symmetric property holds in the complex case.
Keywords
Cite
@article{arxiv.1309.5623,
title = {A Pohozaev identity and critical exponents of some complex Hessian equations},
author = {Chi Li},
journal= {arXiv preprint arXiv:1309.5623},
year = {2013}
}
Comments
14 pages. Comments are welcome