科研之友
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摘要
We study a variational problem involving a Dirichlet integral and the area of a level surface on arbitrary n-dimensional Riemannian manifolds. We prove optimal regularity results for minimizers and derive a jump condition along the level surface. We also obtain smoothness of the interface up to a small singular set of Hausdorff dimension less then or equal to n - 8.
- 出版日期2012
