The Dirichlet problem for the $\alpha$-translating soliton equation on a strip
Differential Geometry
2018-05-29 v1
Abstract
We prove the existence of classical solutions to the Dirichlet problem for the -translating soliton equation defined in a strip of \r^2. We use the Perron method where a family of grim reapers are employed as barriers for solving the Dirichlet problem when the boundary data is formed by two copies of a convex function.
Keywords
Cite
@article{arxiv.1805.10851,
title = {The Dirichlet problem for the $\alpha$-translating soliton equation on a strip},
author = {Rafael López},
journal= {arXiv preprint arXiv:1805.10851},
year = {2018}
}