Some remarks on stability of cones for the one-phase free boundary problem
Some remarks on stability of cones for the one-phase free boundary problem
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DOI：
10.1007/s00039-015-0335-6
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发表时间：
2015-07
影响因子：
2.2
通讯作者：
D. Jerison;O. Savin
中科院分区：
文献类型：
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作者：
D. Jerison;O. Savin
我们证明了单相自由边界问题的稳定锥是四维超平面。作为推论，单相和两相能量最小化超曲面在4维上都是光滑的。
We show that stable cones for the one-phase free boundary problem are hyperplanes in dimension 4. As a corollary, both one and two-phase energy minimizing hypersurfaces are smooth in dimension 4.