论文标题
完全非线性的死核系统
Fully nonlinear dead-core systems
论文作者
论文摘要
我们研究了完全非线性的死核系统,并结合了强大的吸收术语。我们发现链反应,利用沿系统方程的特性,并在自由边界上获得更高的尖锐规律性。此外,我们证明了几何测量估计值并获得自由边界的重合。我们还得出了整个解决方案的liouville定理。这些结果即使对于线性系统也是新的。
We study fully nonlinear dead-core systems coupled with strong absorption terms. We discover a chain reaction, exploiting properties of an equation along the system and obtain higher sharp regularity across the free boundary. Additionally, we prove geometric measure estimates and obtain coincidence of the free boundaries. We also derive Liouville type theorems for entire solutions. These results are new even for linear systems.