The Dirichlet problem for Monge-Amp\`ere type equations on Riemannian manifolds
Analysis of PDEs
2024-05-28 v3
Abstract
In this paper, we study the Dirichlet problem for Monge-Amp\`ere type equations for -plurisubharmonic functions on Riemannian manifolds. The estimates up to the second order derivatives of solutions are established. The existence of a solution then follows by the continuity method.
Keywords
Cite
@article{arxiv.2405.11925,
title = {The Dirichlet problem for Monge-Amp\`ere type equations on Riemannian manifolds},
author = {Weisong Dong and Jinling Niu and Nadilamu Nizhamuding},
journal= {arXiv preprint arXiv:2405.11925},
year = {2024}
}