@Article{JMS-53-1,
author = {Deng, Bin},
title = {The Monge-Ampère Equation for Strictly $(n−1)$-Convex Functions with Neumann Condition},
journal = {Journal of Mathematical Study},
year = {2020},
volume = {53},
number = {1},
pages = {66--89},
abstract = {<p style="text-align: justify;">A $C^2$ function on $\mathbb{R}^n$ is called strictly $(n-1)$-convex if the sum of any $n-1$ eigenvalues of its Hessian is positive. In this paper, we establish a global $C^2$ estimates to the Monge-Ampère equation for strictly $(n-1)$-convex functions with Neumann condition. By the method of continuity, we prove an existence theorem for strictly $(n-1)$-convex solutions of the Neumann problems.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v53n1.20.04},
url = {https://global-sci.com/article/87691/the-monge-ampere-equation-for-strictly-n1-convex-functions-with-neumann-condition}
}