The exterior Dirichlet Problem for homogeneous complex $k$-Hessian equation
Analysis of PDEs
2023-01-13 v1
Abstract
In this paper, we consider the homogeneous complex k-Hessian equation in an exterior domain . We prove the existence and uniqueness of the solution by constructing approximating solutions. The key point for us is to establish the uniform gradient estimate and the second order estimate.
Keywords
Cite
@article{arxiv.2208.03794,
title = {The exterior Dirichlet Problem for homogeneous complex $k$-Hessian equation},
author = {Zhenghuan Gao and Xi-Nan Ma and Dekai Zhang},
journal= {arXiv preprint arXiv:2208.03794},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2207.13504