The exterior Dirichlet problems of Hessian quotient equations
Analysis of PDEs
2022-06-22 v1
Abstract
In this paper, we study the Dirichlet problem of Hessian quotient equations in exterior domains. By estimating the eigenvalues of the solution, the necessary and sufficient conditions on existence of radial solutions are obtained. Applying the solutions of ODE, the viscosity subsolutions and supersolutions are constructed and then the existence of viscosity solutions for exterior problems is established by the Perron's method.
Keywords
Cite
@article{arxiv.2206.09069,
title = {The exterior Dirichlet problems of Hessian quotient equations},
author = {Limei Dai and Jiguang Bao and Bo Wang},
journal= {arXiv preprint arXiv:2206.09069},
year = {2022}
}