论文标题
Alt-Phillips负责负功能
The Alt-Phillips functional for negative powers
论文作者
论文摘要
我们开发了alt-phillips非负最小值的自由边界规律性，负功率电位 $ \int_Ω\ left（\ frac 1 2 | \ nabla u |^2 + u^γχ_ { 并建立$γ$ - 融合的结果，其恢复到周长功能为$γ\至-2 $的结果。
We develop the free boundary regularity for nonnegative minimizers of the Alt-Phillips functional for negative power potentials $$\int_Ω\left(\frac 1 2 |\nabla u|^2 + u^γ χ_{\{u>0\}}\right) \, dx, \quad \quad γ\in (-2,0),$$ and establish a $Γ$-convergence result of the rescaled energies to the perimeter functional as $γ\to -2$.
