电磁Robin Laplacian的半经典Sobolev常数
Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian
摘要：
本文讨论了最优Sobolev常数在半经典极限和任意维数下的渐近性。我们结合半经典的参数和浓度紧凑性估计来解决的情况下，当电磁场被添加以及携带罗宾条件的光滑边界。作为半经典策略的副产品，我们也得到指数加权局部化估计的极小。
英文摘要：
This paper is devoted to the asymptotic analysis of the optimal Sobolev constants in the semiclassical limit and in any dimension. We combine semiclassical arguments and concentration-compactness estimates to tackle the case when an electromagnetic field is added as well as a smooth boundary carrying a Robin condition. As a byproduct of the semiclassical strategy, we also get exponentially weighted localization estimates of the minimizers.
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。
