New examples of Moser-Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry
Differential Geometry
2020-04-14 v1
Abstract
A family of nonlinear partial differential equations of divergence form is considered. Each one is the Euler-Lagrange equation of a natural Riemaniann variational problem of geometric interest. New uniqueness results for the entire solutions of these equations on a parabolic Riemaniann manifold of arbitrary dimension are given. In particular, several Moser-Bernstein type theorems are proved.
Keywords
Cite
@article{arxiv.2004.05564,
title = {New examples of Moser-Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry},
author = {Alfonso Romero and Rafael M. Rubio and Juan J. Salamanca},
journal= {arXiv preprint arXiv:2004.05564},
year = {2020}
}