Monge-Amp\`ere type equations with Neumann boundary conditions on Riemannian manifolds
Differential Geometry
2016-11-01 v1
Abstract
In this paper, we consider the global regularity for Monge-Amp\`ere type equations with the Neumann boundary conditions on Riemannian manifolds. It is known that the classical solvability of the Neumann boundary value problem is obtained under some necessary assumptions. Our main result extends the main theorem from the case of Euclidean space in [11] to Riemannian manifolds.
Keywords
Cite
@article{arxiv.1610.09644,
title = {Monge-Amp\`ere type equations with Neumann boundary conditions on Riemannian manifolds},
author = {Xi Guo and Jing Mao and Ni Xiang},
journal= {arXiv preprint arXiv:1610.09644},
year = {2016}
}
Comments
16 pages