Minimum principles and a priori estimates for some translating soliton type problems
Differential Geometry
2019-12-18 v1
Abstract
In this paper we are dealing with two classes of mean curvature type problems that generalize the translating soliton problem. A first result proves that the solutions to these problems have unique interior critical points. Using this uniqueness result, we next derive a priori and estimates for the solutions to these problems, by means of some minimum principles for appropriate -functions, in the sense of L.E. Payne.
Cite
@article{arxiv.1912.07862,
title = {Minimum principles and a priori estimates for some translating soliton type problems},
author = {Cristian Enache and Rafael López},
journal= {arXiv preprint arXiv:1912.07862},
year = {2019}
}