论文标题
分数扩散的自由边界问题
A free boundary problem with fractional diffusion
论文作者
论文摘要
我们研究了具有体积约束和下限的分数拉普拉斯人的自由边界优化问题。我们证明了解决方案的存在和最佳Hölder规律性，并得出了解决方案和相应外部自由边界的几何特性。
We study a free boundary optimization problem for the fractional Laplacian with a volume constraint and a lower bound. We prove existence and optimal Hölder regularity of solutions, as well as derive geometric properties of solutions and of the corresponding exterior free boundary.
