Allen-Cahn equation for the truncated Laplacian: unusual phenomena
arXiv:2002.04565
Abstract
We study entire viscosity solutions of the Allen-Cahn type equation for the truncated Laplacian that are either one dimensional or radial, in order to shed some light on a possible extension of the Gibbons conjecture in this degenerate elliptic setting.
13 pages, 2 figures