Translating solitons $C^1-$asymptotic to two half-hyperplanes

Abstract

We prove that the hyperplanes parallel to ${\mathbf{e}}_{n+1}$ are the unique examples of translating solitons $C^1-$asymptotic to two half-hyperplanes outside a vertical cylinder in ${\mathbb{R}}^{n+1}$.

arXiv comment9 pages. To appear at Proceedings of the AMS

References in corpus (1)

• Jenkins-Serrin graphs in $M\times \mathbb{R}$