论文标题
截短的拉普拉斯人的艾伦·卡恩方程:异常现象
Allen-Cahn equation for the truncated Laplacian: unusual phenomena
论文作者
论文摘要
我们研究了截短的拉普拉斯(Laplacian)的Allen-CAHN类型方程的整个粘度溶液,这些方程是一维或径向,以便在这种退化的椭圆形环境中阐明Gibbons猜想的可能扩展。
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.