论文标题
具有自由边界的完全非线性椭圆方程的几何规律性估计
Geometric regularity estimates for fully nonlinear elliptic equations with free boundaries
论文作者
论文摘要
在本手稿中，我们研究了在强吸收条件下由完全非线性椭圆算子驱动的问题的几何规律性估计。我们建立了沿自由边界的几何规律性，仅取决于结构参数。还获得了非退化性衡量理论特性。证明了无穷大增长的整个解决方案的敏锐结果。我们还提出了一些发现的结果。
In this manuscript we study geometric regularity estimates for problems driven by fully nonlinear elliptic operators under strong absorption conditions. We establish improved geometric regularity along the free boundary, for a sharp value depending only on structural parameters. Non degeneracy among others measure theoretical properties are also obtained. A sharp Liouville result for entire solutions with controlled growth at infinity is proved. We also present a number of applications consequential of our findings.
