On the second boundary value problem for Lagrangian mean curvature equation
Analysis of PDEs
2019-04-18 v3
Abstract
Considering the second boundary value problem of the Lagrangian mean curvature equation, we obtain the existence and uniqueness of the smooth uniformly convex solution, which generalizes the Brendle-Warren's theorem about minimal Lagrangian diffeomorphism in Euclidean metric space.
Cite
@article{arxiv.1808.01139,
title = {On the second boundary value problem for Lagrangian mean curvature equation},
author = {Chong Wang and Rongli Huang and Jiguang Bao},
journal= {arXiv preprint arXiv:1808.01139},
year = {2019}
}