On the second boundary value problem for a class of fully nonlinear flows III
Analysis of PDEs
2020-03-12 v2
Abstract
We study the solvability of the second boundary value problem of the Lagrangian mean curvature equation arising from special Lagrangian geometry. By the parabolic method 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.2003.04731,
title = {On the second boundary value problem for a class of fully nonlinear flows III},
author = {C. Wang and R. L. Huang and J. G. Bao},
journal= {arXiv preprint arXiv:2003.04731},
year = {2020}
}
Comments
32 pages. arXiv admin note: text overlap with arXiv:1808.01139