论文标题
各向异性单调公式，应用于某些隔离问题
An anisotropic monotoncity formula, with applications to some segregation problems
论文作者
论文摘要
我们证明了一个替代式炸药的friedman montonicity公式，用于求解椭圆方程在其阳性集中驱动的椭圆方程。作为应用，我们为某些椭圆系统的亚物种推导了liouville型定理，并分析了方程系统的隔离现象，其中每个密度的扩散由不同的操作员描述。
We prove an Alt-Caffarelli-Friedman montonicity formula for pairs of functions solving elliptic equations driven by different ellipticity matrices in their positivity sets. As application, we derive Liouville-type theorems for subsolutions of some elliptic systems, and we analyze segregation phenomena for systems of equations where the diffusion of each density is described by a different operator.
