The Neumann Problem for Hessian Equations
Analysis of PDEs
2024-04-22 v2 Differential Geometry
Abstract
In this paper, we prove the existence of a classical solution to a Neumann boundary problem for Hessian equations in uniformly convex domain. The methods depend upon the established of a priori derivative estimates up to second order. So we give a affirmative answer to a conjecture of N. Trudinger in 1986.
Cite
@article{arxiv.1508.00196,
title = {The Neumann Problem for Hessian Equations},
author = {Xi-Nan Ma and Guohuan Qiu},
journal= {arXiv preprint arXiv:1508.00196},
year = {2024}
}
Comments
25 pages