A Morse type uniqueness theorem for non-parametric minimizing hypersurfaces
Analysis of PDEs
2007-07-03 v1 Dynamical Systems
Abstract
A classical result about minimal geodesics on R^2 with Z^2 periodic metric that goes back to H.M. Morse asserts that a minimal geodesic that is asymptotic to a periodic minimal geodesic cannot intersect any periodic minimal geodesic of the same period. This paper treats a similar theorem for nonparametric minimizing hypersurfaces without selfintersections -- as were studied by J. Moser, V. Bangert, P.H. Rabinowitz, E. Stredulinsky and others.
Cite
@article{arxiv.0707.0017,
title = {A Morse type uniqueness theorem for non-parametric minimizing hypersurfaces},
author = {Hannes Junginger-Gestrich},
journal= {arXiv preprint arXiv:0707.0017},
year = {2007}
}