Ball and Spherical-Shell Rigidity from Overdetermined Translating Solitons

Liang Cheng, Li Ma

We study overdetermined boundary problems for the graphical translating-soliton equation \[ -\operatorname{div}\!\left(\frac{Du}{\sqrt{1+|Du|^2}}\right) =\frac{1}{\sqrt{1+|Du|^2}}…