A boundary value problem for minimal Lagrangian graphs

Details A boundary value problem for minimal Lagrangian graphs A boundary value problem for minimal Lagrangian graphs

2008-05-23

arxiv.org/abs/0805.3715v3

Mathematics

Analysis of PDEs

Final version, to appear in J. Diff. Geom

Scientific paper

Let \Omega and \tilde{\Omega} be uniformly convex domains in \mathbb{R}^n
with smooth boundary. We show that there exists a diffeomorphism f: \Omega \to
\tilde{\Omega} such that the graph \Sigma = \{(x,f(x)): x \in \Omega\} is a
minimal Lagrangian submanifold of \mathbb{R}^n \times \mathbb{R}^n.

Affiliated with

Also associated with

No associations

Rating

A boundary value problem for minimal Lagrangian graphs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A boundary value problem for minimal Lagrangian graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A boundary value problem for minimal Lagrangian graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-665367