具有自由边界和大的常中曲率的超曲面：沿子流形的集中
Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds
摘要：
给定$\mathbb{R}^{m+1}$的一个整环$Ω$和$\pa Ω$的一个$k$维非退化极小子流形$K$，证明了存在一族嵌入的常中曲率超曲面，它们的中曲率趋于无穷大，并沿$K$集中，与$\partial Ω$垂直相交.
英文摘要：
Given a domain $Ω$ of $\mathbb{R}^{m+1}$ and a $k$-dimensional non-degenerate minimal submanifold $K$ of $\pa Ω$ with $1\le k\le m-1$, we prove the existence of a family of embedded constant mean curvature hypersurfaces which as their mean curvature tends to infinity concentrate along $K$ and intersecting $\partial Ω$ perpendicularly.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
