论文标题
在非本地介质中的关键麦克斯韦方程式上
On a critical Maxwell equation in nonlocal media
论文作者
论文摘要
在本文中，我们研究了非本地介质中关键时谐麦克斯韦方程的解决方案的存在。通过引入一些涉及卷曲操作员的合适的库仑空间，我们能够通过约束Nehari-Pankov歧管的方法来获得卷曲 - 曲线方程的基态溶液。相应地，通过浓度 - 紧凑型原理的非本地版本获得了sobolev样不平等的某些尖锐常数。
In this paper, we study the existence of solutions for a critical time-harmonic Maxwell equation in nonlocal media. By introducing some suitable Coulomb spaces involving curl operator, we are able to obtain the ground state solutions of the curl-curl equation via the method of constraining Nehari-Pankov manifold. Correspondingly, some sharp constants of the Sobolev-like inequalities with curl operator are obtained by a nonlocal version of the concentration-compactness principle.
