论文标题
（非）本地$γ$ -Convergence
(Non)local $Γ$-convergence
论文作者
论文摘要
我们提出了一些相共存的远程交互模型，这些模型最近出现在文献中，还回顾了它们与经典界面和毛细血管问题的关系。在本说明中，主要重点将放在$γ$ - 联合方法上，强调经典理论与研究的新趋势之间的相似性和差异。 在这样做的过程中，我们还获得了一些新的，更精确的$γ$ Convergence，以“内部”和“外部”的贡献而产生。我们还讨论了$γ$ - 限制与“点”限制之间的结构差异，尤其是有关“边界项”的结构差异。
We present some long-range interaction models for phase coexistence which have recently appeared in the literature, recalling also their relation to classical interface and capillarity problems. In this note, the main focus will be on the $Γ$-convergence methods, emphasizing similarities and differences between the classical theory and the new trends of investigation. In doing so, we also obtain some new, more precise $Γ$-convergence results in terms of "interior" and "exterior" contributions. We also discuss the structural differences between $Γ$-limits and "pointwise" limits, especially concerning the "boundary terms".
